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145013035201320 = 233511138450643077
BaseRepresentation
bin100000111110001101111010…
…011100110111001100101000
3201000110002222202101111121110
4200332031322130313030220
5123001343144002420240
61232230022501110320
742354563124316506
oct4076157234671450
9630402882344543
10145013035201320
1142229756986460
12143205b80b83a0
1362bb89424cc30
1427b494dd63676
1511b71c62b4c80
hex83e37a737328

145013035201320 has 128 divisors (see below), whose sum is σ = 511094893357440. Its totient is φ = 32450469411840.

The previous prime is 145013035201319. The next prime is 145013035201373. The reversal of 145013035201320 is 23102530310541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4225304379 + ... + 4225338698.

It is an arithmetic number, because the mean of its divisors is an integer number (3992928854355).

Almost surely, 2145013035201320 is an apocalyptic number.

145013035201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145013035201320 is an abundant number, since it is smaller than the sum of its proper divisors (366081858156120).

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

145013035201320 is a wasteful number, since it uses less digits than its factorization.

145013035201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8450643115 (or 8450643111 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 145013035201320 its reverse (23102530310541), we get a palindrome (168115565511861).

The spelling of 145013035201320 in words is "one hundred forty-five trillion, thirteen billion, thirty-five million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 8580 17160 8450643077 16901286154 25351929231 33802572308 42253215385 50703858462 67605144616 84506430770 92957073847 101407716924 109858360001 126759646155 169012861540 185914147694 202815433848 219716720002 253519292310 278871221541 329575080003 338025723080 371828295388 439433440004 464785369235 507038584620 549291800005 557742443082 659150160006 743656590776 878866880008 929570738470 1014077169240 1098583600010 1115484886164 1208441960011 1318300320012 1394356107705 1647875400015 1859141476940 2197167200020 2230969772328 2416883920022 2636600640024 2788712215410 3295750800030 3625325880033 3718282953880 4394334400040 4833767840044 5577424430820 6042209800055 6591501600060 7250651760066 9667535680088 11154848861640 12084419600110 13183003200120 14501303520132 18126629400165 24168839200220 29002607040264 36253258800330 48337678400440 72506517600660 145013035201320