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150120440145040 = 24523599216163029
BaseRepresentation
bin100010001000100010100011…
…100000100010010010010000
3201200112101002120212002102011
4202020202203200202102100
5124134033130134120130
61251140213402232304
743422562311121441
oct4210424340422220
9650471076762364
10150120440145040
11439187a2914912
1214a0641b7b5694
13659c3b1cac421
14290dc21db72c8
151254e9cd7852a
hex8888a3822490

150120440145040 has 160 divisors (see below), whose sum is σ = 364987871424000. Its totient is φ = 57314052956160.

The previous prime is 150120440145023. The next prime is 150120440145041. The reversal of 150120440145040 is 40541044021051.

It is a super-2 number, since 2×1501204401450402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150120440144993 and 150120440145011.

It is not an unprimeable number, because it can be changed into a prime (150120440145041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2381736246 + ... + 2381799274.

It is an arithmetic number, because the mean of its divisors is an integer number (2281174196400).

Almost surely, 2150120440145040 is an apocalyptic number.

150120440145040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150120440145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182493935712000).

150120440145040 is an abundant number, since it is smaller than the sum of its proper divisors (214867431278960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150120440145040 is a wasteful number, since it uses less digits than its factorization.

150120440145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65825 (or 65819 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 150120440145040 its reverse (40541044021051), we get a palindrome (190661484166091).

The spelling of 150120440145040 in words is "one hundred fifty trillion, one hundred twenty billion, four hundred forty million, one hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 599 920 1198 1840 2161 2396 2995 4322 4792 5990 8644 9584 10805 11980 13777 17288 21610 23960 27554 34576 43220 47920 49703 55108 63029 68885 86440 99406 110216 126058 137770 172880 198812 220432 248515 252116 275540 315145 397624 497030 504232 551080 630290 795248 994060 1008464 1102160 1260580 1294439 1449667 1988120 2521160 2588878 2899334 3976240 5042320 5177756 5798668 6472195 7248335 10355512 11597336 12944390 14496670 20711024 23194672 25888780 28993340 29772097 37754371 51777560 57986680 59544194 75508742 103555120 115973360 119088388 136205669 148860485 151017484 188771855 238176776 272411338 297720970 302034968 377543710 476353552 544822676 595441940 604069936 681028345 755087420 868350533 1089645352 1190883880 1362056690 1510174840 1736701066 2179290704 2381767760 2724113380 3020349680 3132730387 3473402132 4341752665 5448226760 6265460774 6946804264 8683505330 10896453520 12530921548 13893608528 15663651935 17367010660 25061843096 31327303870 34734021320 50123686192 62654607740 69468042640 81587195731 125309215480 163174391462 250618430960 326348782924 407935978655 652697565848 815871957310 1305395131696 1631743914620 1876505501813 3263487829240 3753011003626 6526975658480 7506022007252 9382527509065 15012044014504 18765055018130 30024088029008 37530110036260 75060220072520 150120440145040