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42042013398 = 232711231318841
BaseRepresentation
bin100111001001111001…
…100011011011010110
311000111222110120021100
4213021321203123112
51142100223412043
631151442130530
73015561134430
oct471171433326
9130458416240
1042042013398
1116914690a20
128193950a46
133c70149a08
14206b881650
151160de7cd3
hex9c9e636d6

42042013398 has 96 divisors (see below), whose sum is σ = 118505866752. Its totient is φ = 10445212800.

The previous prime is 42042013373. The next prime is 42042013399. The reversal of 42042013398 is 89331024024.

It is a super-2 number, since 2×420420133982 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42042013399) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 627543 + ... + 691298.

It is an arithmetic number, because the mean of its divisors is an integer number (1234436112).

Almost surely, 242042013398 is an apocalyptic number.

42042013398 is an abundant number, since it is smaller than the sum of its proper divisors (76463853354).

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

42042013398 is a wasteful number, since it uses less digits than its factorization.

42042013398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318890 (or 1318887 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 42042013398 in words is "forty-two billion, forty-two million, thirteen thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 23 33 42 46 63 66 69 77 99 126 138 154 161 198 207 231 253 322 414 462 483 506 693 759 966 1386 1449 1518 1771 2277 2898 3542 4554 5313 10626 15939 31878 1318841 2637682 3956523 7913046 9231887 11869569 14507251 18463774 23739138 27695661 29014502 30333343 43521753 55391322 60666686 83086983 87043506 91000029 101550757 130565259 166173966 182000058 203101514 212333401 261130518 273000087 304652271 333666773 424666802 546000174 609304542 637000203 667333546 913956813 1001000319 1274000406 1827913626 1911000609 2002000638 2335667411 3003000957 3822001218 4671334822 6006001914 7007002233 14014004466 21021006699 42042013398