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21142431432 = 233435179277
BaseRepresentation
bin10011101100001011…
…111110011011001000
32000120110012210120000
4103230023332123020
5321244430301212
613413535403000
71345633462533
oct235413763310
960513183500
1021142431432
118a6a395731
124120683460
131cbc293a75
141047d0ba1a
1583b1d41dc
hex4ec2fe6c8

21142431432 has 80 divisors (see below), whose sum is σ = 59241607260. Its totient is φ = 7044713856.

The previous prime is 21142431421. The next prime is 21142431433. The reversal of 21142431432 is 23413424112.

It can be written as a sum of positive squares in 2 ways, for example, as 16903640196 + 4238791236 = 130014^2 + 65106^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21142431396 and 21142431405.

It is not an unprimeable number, because it can be changed into a prime (21142431433) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2274378 + ... + 2283654.

Almost surely, 221142431432 is an apocalyptic number.

It is an amenable number.

21142431432 is an abundant number, since it is smaller than the sum of its proper divisors (38099175828).

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

21142431432 is a wasteful number, since it uses less digits than its factorization.

21142431432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12812 (or 12799 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 21142431432 its reverse (23413424112), we get a palindrome (44555855544).

The spelling of 21142431432 in words is "twenty-one billion, one hundred forty-two million, four hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 3517 7034 9277 10551 14068 18554 21102 27831 28136 31653 37108 42204 55662 63306 74216 83493 84408 94959 111324 126612 166986 189918 222648 250479 253224 284877 333972 379836 500958 569754 667944 751437 759672 1001916 1139508 1502874 2003832 2279016 3005748 6011496 32627209 65254418 97881627 130508836 195763254 261017672 293644881 391526508 587289762 783053016 880934643 1174579524 1761869286 2349159048 2642803929 3523738572 5285607858 7047477144 10571215716 21142431432