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396974241440 = 25572909121843
BaseRepresentation
bin1011100011011011000…
…00100011011010100000
31101221122211001220112222
411301231200203122200
523001000401211230
6502211211410212
740452251243330
oct5615540433240
91357584056488
10396974241440
111433a0679197
1264b29a53968
132b58580856a
14152dc3b30c0
15a4d5e676e5
hex5c6d8236a0

396974241440 has 96 divisors (see below), whose sum is σ = 1072207704960. Its totient is φ = 136057549824.

The previous prime is 396974241437. The next prime is 396974241487. The reversal of 396974241440 is 44142479693.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3197159 + ... + 3319001.

It is an arithmetic number, because the mean of its divisors is an integer number (11168830260).

Almost surely, 2396974241440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396974241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536103852480).

396974241440 is an abundant number, since it is smaller than the sum of its proper divisors (675233463520).

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

396974241440 is a wasteful number, since it uses less digits than its factorization.

396974241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124774 (or 124766 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 53.

The spelling of 396974241440 in words is "three hundred ninety-six billion, nine hundred seventy-four million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2909 5818 11636 14545 20363 23272 29090 40726 46544 58180 81452 93088 101815 116360 121843 162904 203630 232720 243686 325808 407260 465440 487372 609215 651616 814520 852901 974744 1218430 1629040 1705802 1949488 2436860 3258080 3411604 3898976 4264505 4873720 6823208 8529010 9747440 13646416 17058020 19494880 27292832 34116040 68232080 136464160 354441287 708882574 1417765148 1772206435 2481089009 2835530296 3544412870 4962178018 5671060592 7088825740 9924356036 11342121184 12405445045 14177651480 19848712072 24810890090 28355302960 39697424144 49621780180 56710605920 79394848288 99243560360 198487120720 396974241440