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4000631131332 = 22321119895974337
BaseRepresentation
bin111010001101111000001…
…100101000110011000100
3112011110022212021111100200
4322031320030220303010
51011021243032200312
612301510425210500
7562015240352133
oct72157014506304
915143285244320
104000631131332
111302726a82a10
12547423330a30
132303477a4224
14db8bb0ab91a
156e0eb5c70dc
hex3a378328cc4

4000631131332 has 144 divisors (see below), whose sum is σ = 11743158772800. Its totient is φ = 1135601786880.

The previous prime is 4000631131319. The next prime is 4000631131369. The reversal of 4000631131332 is 2331311360004.

4000631131332 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 6 + 311 + 313 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4000631131296 and 4000631131305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2317533 + ... + 3656804.

It is an arithmetic number, because the mean of its divisors is an integer number (81549713700).

Almost surely, 24000631131332 is an apocalyptic number.

It is an amenable number.

4000631131332 is an abundant number, since it is smaller than the sum of its proper divisors (7742527641468).

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

4000631131332 is a wasteful number, since it uses less digits than its factorization.

4000631131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974466 (or 5974461 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 4000631131332 its reverse (2331311360004), we get a palindrome (6331942491336).

The spelling of 4000631131332 in words is "four trillion, six hundred thirty-one million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 89 99 114 132 171 178 198 209 228 267 342 356 396 418 534 627 684 801 836 979 1068 1254 1602 1691 1881 1958 2508 2937 3204 3382 3762 3916 5073 5874 6764 7524 8811 10146 11748 15219 17622 18601 20292 30438 35244 37202 55803 60876 74404 111606 167409 223212 334818 669636 5974337 11948674 17923011 23897348 35846022 53769033 65717707 71692044 107538066 113512403 131435414 197153121 215076132 227024806 262870828 340537209 394306242 454049612 531715993 591459363 681074418 788612484 1021611627 1063431986 1182918726 1248636433 1362148836 1595147979 2043223254 2126863972 2365837452 2497272866 3190295958 3745909299 4086446508 4785443937 4994545732 5848875923 6380591916 7491818598 9570887874 10102603867 11237727897 11697751846 14983637196 17546627769 19141775748 20205207734 22475455794 23395503692 30307811601 35093255538 40410415468 44950911588 52639883307 60615623202 70186511076 90923434803 105279766614 111128642537 121231246404 181846869606 210559533228 222257285074 333385927611 363693739212 444514570148 666771855222 1000157782833 1333543710444 2000315565666 4000631131332