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42041314024 = 23172777111317
BaseRepresentation
bin100111001001110110…
…111000101011101000
311000111221011000220121
4213021312320223220
51142100034022044
631151415133024
73015552162433
oct471166705350
9130457130817
1042041314024
1116914253526
128193674174
133c6cc63598
14206b73c81a
151160d0a984
hex9c9db8ae8

42041314024 has 32 divisors (see below), whose sum is σ = 83495179080. Its totient is φ = 19776845824.

The previous prime is 42041314019. The next prime is 42041314031.

42041314024 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 39330029124 + 2711284900 = 198318^2 + 52070^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42041314024.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 322014 + ... + 433330.

Almost surely, 242041314024 is an apocalyptic number.

It is an amenable number.

42041314024 is a deficient number, since it is larger than the sum of its proper divisors (41453865056).

42041314024 is a wasteful number, since it uses less digits than its factorization.

42041314024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114117 (or 114113 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The spelling of 42041314024 in words is "forty-two billion, forty-one million, three hundred fourteen thousand, twenty-four".

Divisors: 1 2 4 8 17 34 68 136 2777 5554 11108 22216 47209 94418 111317 188836 222634 377672 445268 890536 1892389 3784778 7569556 15139112 309127309 618254618 1236509236 2473018472 5255164253 10510328506 21020657012 42041314024