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42941221584 = 2435324117001
BaseRepresentation
bin100111111111011111…
…110000101011010000
311002211122111002000020
4213333133300223100
51200420423042314
631421003223440
73050060234562
oct477737605320
9132748432006
1042941221584
1117236222388
1283a4b17b80
134084526b71
142115073332
1511b4d19da9
hex9ff7f0ad0

42941221584 has 80 divisors (see below), whose sum is σ = 113087565504. Its totient is φ = 14035840000.

The previous prime is 42941221577. The next prime is 42941221619. The reversal of 42941221584 is 48512214924.

It is a super-2 number, since 2×429412215842 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6130084 + ... + 6137084.

Almost surely, 242941221584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42941221584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56543782752).

42941221584 is an abundant number, since it is smaller than the sum of its proper divisors (70146343920).

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

42941221584 is a wasteful number, since it uses less digits than its factorization.

42941221584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9476 (or 9470 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The spelling of 42941221584 in words is "forty-two billion, nine hundred forty-one million, two hundred twenty-one thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2411 2544 4822 7001 7233 9644 14002 14466 19288 21003 28004 28932 38576 42006 56008 57864 84012 112016 115728 127783 168024 255566 336048 371053 383349 511132 742106 766698 1022264 1113159 1484212 1533396 2044528 2226318 2968424 3066792 4452636 5936848 6133584 8905272 16879411 17810544 33758822 50638233 67517644 101276466 135035288 202552932 270070576 405105864 810211728 894608783 1789217566 2683826349 3578435132 5367652698 7156870264 10735305396 14313740528 21470610792 42941221584