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42144621460 = 2251727291457
BaseRepresentation
bin100111010000000000…
…111110001110010100
311000210010112121001221
4213100000332032110
51142303010341320
631205545300124
73021245241334
oct472000761624
9130703477057
1042144621460
11169675a3977
128202194644
133c88494646
14207b3510c4
151169e153aa
hex9d003e394

42144621460 has 36 divisors (see below), whose sum is σ = 94016059452. Its totient is φ = 15866208256.

The previous prime is 42144621437. The next prime is 42144621503. The reversal of 42144621460 is 6412644124.

It can be written as a sum of positive squares in 6 ways, for example, as 3553590544 + 38591030916 = 59612^2 + 196446^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3639949 + ... + 3651508.

It is an arithmetic number, because the mean of its divisors is an integer number (2611557207).

Almost surely, 242144621460 is an apocalyptic number.

It is an amenable number.

42144621460 is an abundant number, since it is smaller than the sum of its proper divisors (51871437992).

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

42144621460 is a wasteful number, since it uses less digits than its factorization.

42144621460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7291500 (or 7291481 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 42144621460 in words is "forty-two billion, one hundred forty-four million, six hundred twenty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 7291457 14582914 29165828 36457285 72914570 123954769 145829140 247909538 495819076 619773845 1239547690 2107231073 2479095380 4214462146 8428924292 10536155365 21072310730 42144621460