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42107655311140 = 2259619732188609
BaseRepresentation
bin10011001001011111100111…
…10101100100111100100100
312112002110012220020022012111
421210233303311210330210
521004342434224424030
6225315553444130404
711604114644433466
oct1144576365447444
9175073186208174
1042107655311140
1112464835751581
1248808b4696a04
131a65972637a73
14a580429aa136
154d04b404462a
hex264bf3d64f24

42107655311140 has 24 divisors (see below), whose sum is σ = 88426208477880. Its totient is φ = 16843036919808.

The previous prime is 42107655311107. The next prime is 42107655311153. The reversal of 42107655311140 is 4111355670124.

It can be written as a sum of positive squares in 4 ways, for example, as 22100984896 + 42085554326244 = 148664^2 + 6487338^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42107655311093 and 42107655311102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18145156 + ... + 20333764.

It is an arithmetic number, because the mean of its divisors is an integer number (3684425353245).

Almost surely, 242107655311140 is an apocalyptic number.

It is an amenable number.

42107655311140 is an abundant number, since it is smaller than the sum of its proper divisors (46318553166740).

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

42107655311140 is a wasteful number, since it uses less digits than its factorization.

42107655311140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150591 (or 3150589 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 42107655311140 in words is "forty-two trillion, one hundred seven billion, six hundred fifty-five million, three hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 961973 1923946 2188609 3847892 4377218 4809865 8754436 9619730 10943045 19239460 21886090 43772180 2105382765557 4210765531114 8421531062228 10526913827785 21053827655570 42107655311140