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32142036641 = 11131937319729
BaseRepresentation
bin11101111011110100…
…001000111010100001
310001222000220122020112
4131323310020322201
51011311330133031
622433231221105
72215336542431
oct357364107241
9101860818215
1032142036641
11126a4383950
126290377795
1330530b07c0
1417acb182c1
15c81be662b
hex77bd08ea1

32142036641 has 32 divisors (see below), whose sum is σ = 40823126400. Its totient is φ = 24862049280.

The previous prime is 32142036637. The next prime is 32142036659. The reversal of 32142036641 is 14663024123.

It is a cyclic number.

It is not a de Polignac number, because 32142036641 - 22 = 32142036637 is a prime.

It is a super-2 number, since 2×321420366412 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32142036598 and 32142036607.

It is not an unprimeable number, because it can be changed into a prime (32142036671) 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 31 ways as a sum of consecutive naturals, for example, 59336 + ... + 260393.

It is an arithmetic number, because the mean of its divisors is an integer number (1275722700).

Almost surely, 232142036641 is an apocalyptic number.

It is an amenable number.

32142036641 is a deficient number, since it is larger than the sum of its proper divisors (8681089759).

32142036641 is a wasteful number, since it uses less digits than its factorization.

32142036641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319809.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 32142036641 in words is "thirty-two billion, one hundred forty-two million, thirty-six thousand, six hundred forty-one".

Divisors: 1 11 13 19 37 143 209 247 407 481 703 2717 5291 7733 9139 100529 319729 3517019 4156477 6074851 11829973 45721247 66823361 78973063 130129703 153789649 224769487 868703693 1691686139 2472464357 2922003331 32142036641