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40270856976 = 24327223892
BaseRepresentation
bin100101100000010101…
…001000001100010000
310211221112201111102100
4211200111020030100
51124433314410401
630300012120400
72623643431200
oct454025101420
9124845644370
1040270856976
1116095937989
12797a766100
133a4a21846c
141d40556400
1510aa68ab86
hex960548310

40270856976 has 135 divisors (see below), whose sum is σ = 131157771381. Its totient is φ = 11501142912.

The previous prime is 40270856959. The next prime is 40270856981. The reversal of 40270856976 is 67965807204.

The square root of 40270856976 is 200676.

It is a perfect power (a square), and thus also a powerful number.

40270856976 is a `hidden beast` number, since 4 + 0 + 2 + 7 + 0 + 8 + 569 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9153896976 + 31116960000 = 95676^2 + 176400^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16855590 + ... + 16857978.

Almost surely, 240270856976 is an apocalyptic number.

40270856976 is the 200676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40270856976

40270856976 is an abundant number, since it is smaller than the sum of its proper divisors (90886914405).

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

40270856976 is an equidigital number, since it uses as much as digits as its factorization.

40270856976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

It can be divided in two parts, 402708 and 56976, that added together give a square (459684 = 6782).

The spelling of 40270856976 in words is "forty billion, two hundred seventy million, eight hundred fifty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 2389 3528 4778 7056 7167 9556 14334 16723 19112 21501 28668 33446 38224 43002 50169 57336 66892 86004 100338 114672 117061 133784 150507 172008 200676 234122 267568 301014 344016 351183 401352 468244 602028 702366 802704 936488 1053549 1204056 1404732 1872976 2107098 2408112 2809464 4214196 5618928 5707321 8428392 11414642 16856784 17121963 22829284 34243926 39951247 45658568 51365889 68487852 79902494 91317136 102731778 119853741 136975704 159804988 205463556 239707482 273951408 279658729 319609976 359561223 410927112 479414964 559317458 639219952 719122446 821854224 838976187 958829928 1118634916 1438244892 1677952374 1917659856 2237269832 2516928561 2876489784 3355904748 4474539664 5033857122 5752979568 6711809496 10067714244 13423618992 20135428488 40270856976