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31342575221136 = 24324665372
BaseRepresentation
bin1110010000001100000110…
…00011111111100110010000
311002222022122221211112111100
413020012003003333212100
513102004043224034021
6150354325201344400
76413266142441004
oct710060303774620
9132868587745440
1031342575221136
119a94347682013
123622499038100
131464790c9451a
147a4dbb134704
1539545b81e626
hex1c81830ff990

31342575221136 has 45 divisors (see below), whose sum is σ = 87715867279521. Its totient is φ = 10447502679936.

The previous prime is 31342575221017. The next prime is 31342575221201. The reversal of 31342575221136 is 63112257524313.

It is a happy number.

The square root of 31342575221136 is 5598444.

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

31342575221136 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 2 + 5 + 7 + 522 + 113 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 247944243600 + 31094630977536 = 497940^2 + 5576256^2 .

It is a super-2 number, since 2×313425752211362 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31342575221091 and 31342575221100.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 66948060 + ... + 67414596.

Almost surely, 231342575221136 is an apocalyptic number.

31342575221136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

31342575221136 is the 5598444-th square number.

It is an amenable number.

31342575221136 is an abundant number, since it is smaller than the sum of its proper divisors (56373292058385).

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

31342575221136 is an frugal number, since it uses more digits than its factorization.

31342575221136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933088 (or 466542 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 31342575221136 in words is "thirty-one trillion, three hundred forty-two billion, five hundred seventy-five million, two hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 466537 933074 1399611 1866148 2799222 3732296 4198833 5598444 7464592 8397666 11196888 16795332 22393776 33590664 67181328 217656772369 435313544738 652970317107 870627089476 1305940634214 1741254178952 1958910951321 2611881268428 3482508357904 3917821902642 5223762536856 7835643805284 10447525073712 15671287610568 31342575221136