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1400360607744 = 213378140117
BaseRepresentation
bin10100011000001011111…
…111110010000000000000
311221212120112112120022020
4110120023333302000000
5140420414303421434
62551152231441440
7203113145524410
oct24301377620000
94855515476266
101400360607744
1149a98706821a
121a7495b26280
13a2090535437
144bac6478640
152665eb41849
hex1460bff2000

1400360607744 has 112 divisors (see below), whose sum is σ = 4267505702208. Its totient is φ = 400102981632.

The previous prime is 1400360607719. The next prime is 1400360607773. The reversal of 1400360607744 is 4477060630041.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×14003606077442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1400360607696 and 1400360607705.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3898027 + ... + 4242090.

It is an arithmetic number, because the mean of its divisors is an integer number (38102729484).

Almost surely, 21400360607744 is an apocalyptic number.

1400360607744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1400360607744 is an abundant number, since it is smaller than the sum of its proper divisors (2867145094464).

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

1400360607744 is an frugal number, since it uses more digits than its factorization.

1400360607744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8140153 (or 8140129 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 1400360607744 in words is "one trillion, four hundred billion, three hundred sixty million, six hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 8192 10752 12288 14336 21504 24576 28672 43008 57344 86016 172032 8140117 16280234 24420351 32560468 48840702 56980819 65120936 97681404 113961638 130241872 170942457 195362808 227923276 260483744 341884914 390725616 455846552 520967488 683769828 781451232 911693104 1041934976 1367539656 1562902464 1823386208 2083869952 2735079312 3125804928 3646772416 4167739904 5470158624 6251609856 7293544832 8335479808 10940317248 12503219712 14587089664 16670959616 21880634496 25006439424 29174179328 33341919232 43761268992 50012878848 58348358656 66683838464 87522537984 100025757696 116696717312 175045075968 200051515392 233393434624 350090151936 466786869248 700180303872 1400360607744