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201324043303440 = 243510145413182887
BaseRepresentation
bin101101110001101001101000…
…000101011111101000010000
3222101211101112201200212122120
4231301221220011133220100
5202341443120041202230
61552102553320334240
760256116320563611
oct5561515005375020
9871741481625576
10201324043303440
115916a057a35252
121a6b5b46914380
138844a11634995
1437a01c847bc08
151841d78bab310
hexb71a6815fa10

201324043303440 has 160 divisors (see below), whose sum is σ = 630301112361216. Its totient is φ = 53153401804800.

The previous prime is 201324043303433. The next prime is 201324043303441. The reversal of 201324043303440 is 44303340423102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (201324043303441) 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, 1100719677 + ... + 1100902563.

Almost surely, 2201324043303440 is an apocalyptic number.

201324043303440 is a gapful number since it is divisible by the number (20) 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 201324043303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315150556180608).

201324043303440 is an abundant number, since it is smaller than the sum of its proper divisors (428977069057776).

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

201324043303440 is a wasteful number, since it uses less digits than its factorization.

201324043303440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228417 (or 228411 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 201324043303440 its reverse (44303340423102), we get a palindrome (245627383726542).

The spelling of 201324043303440 in words is "two hundred one trillion, three hundred twenty-four billion, forty-three million, three hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 8080 12120 24240 45413 90826 136239 181652 182887 227065 272478 363304 365774 454130 544956 548661 681195 726608 731548 908260 914435 1089912 1097322 1362390 1463096 1816520 1828870 2179824 2194644 2724780 2743305 2926192 3633040 3657740 4389288 4586713 5449560 5486610 7315480 8778576 9173426 10899120 10973220 13760139 14630960 18346852 18471587 21946440 22933565 27520278 36693704 36943174 43892880 45867130 55040556 55414761 68800695 73387408 73886348 91734260 92357935 110081112 110829522 137601390 147772696 183468520 184715870 220162224 221659044 275202780 277073805 295545392 366937040 369431740 443318088 550405560 554147610 738863480 886636176 1100811120 1108295220 1477726960 2216590440 4433180880 8305447331 16610894662 24916341993 33221789324 41527236655 49832683986 66443578648 83054473310 99665367972 124581709965 132887157296 166108946620 199330735944 249163419930 332217893240 398661471888 498326839860 664435786480 838850180431 996653679720 1677700360862 1993307359440 2516550541293 3355400721724 4194250902155 5033101082586 6710801443448 8388501804310 10066202165172 12582752706465 13421602886896 16777003608620 20132404330344 25165505412930 33554007217240 40264808660688 50331010825860 67108014434480 100662021651720 201324043303440