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2152141040640 = 21035140113349
BaseRepresentation
bin11111010100010101100…
…110100010110000000000
321121202001102001111110010
4133110111212202300000
5240230041101300030
64324402511304520
7311326030004223
oct37242546426000
97552042044403
102152141040640
1175a799569508
122a912381b140
13127c3b570a86
14762427315ba
153aeaea2e6b0
hex1f5159a2c00

2152141040640 has 88 divisors (see below), whose sum is σ = 6883488658800. Its totient is φ = 573904273408.

The previous prime is 2152141040573. The next prime is 2152141040659. The reversal of 2152141040640 is 460401412512.

It is a super-2 number, since 2×21521410406402 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2152141040598 and 2152141040607.

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 7 ways as a sum of consecutive naturals, for example, 70041315 + ... + 70072034.

Almost surely, 22152141040640 is an apocalyptic number.

2152141040640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2152141040640 is an abundant number, since it is smaller than the sum of its proper divisors (4731347618160).

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

2152141040640 is a wasteful number, since it uses less digits than its factorization.

2152141040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140113377 (or 140113359 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 2152141040640 in words is "two trillion, one hundred fifty-two billion, one hundred forty-one million, forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 140113349 280226698 420340047 560453396 700566745 840680094 1120906792 1401133490 1681360188 2101700235 2241813584 2802266980 3362720376 4203400470 4483627168 5604533960 6725440752 8406800940 8967254336 11209067920 13450881504 16813601880 17934508672 22418135840 26901763008 33627203760 35869017344 44836271680 53803526016 67254407520 71738034688 89672543360 107607052032 134508815040 143476069376 179345086720 215214104064 269017630080 358690173440 430428208128 538035260160 717380346880 1076070520320 2152141040640