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42231000042 = 232711108728031
BaseRepresentation
bin100111010101001010…
…011110101111101010
311001000011002002012200
4213111022132233222
51142442114000132
631222312521030
73023344402050
oct472512365752
9131004062180
1042231000042
1116a01331430
1282270b0176
133ca034912a
1420889d81d0
1511727c8d7c
hex9d529ebea

42231000042 has 96 divisors (see below), whose sum is σ = 114187567104. Its totient is φ = 10958608800.

The previous prime is 42231000037. The next prime is 42231000061. The reversal of 42231000042 is 24000013224.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42230999979 and 42231000024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1492567 + ... + 1520597.

It is an arithmetic number, because the mean of its divisors is an integer number (1189453824).

Almost surely, 242231000042 is an apocalyptic number.

42231000042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42231000042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57093783552).

42231000042 is an abundant number, since it is smaller than the sum of its proper divisors (71956567062).

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

42231000042 is a wasteful number, since it uses less digits than its factorization.

42231000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29144 (or 29141 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42231000042 its reverse (24000013224), we get a palindrome (66231013266).

The spelling of 42231000042 in words is "forty-two billion, two hundred thirty-one million, forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1087 1386 2174 3261 6522 7609 9783 11957 15218 19566 22827 23914 28031 35871 45654 56062 68481 71742 83699 84093 107613 136962 167398 168186 196217 215226 251097 252279 308341 392434 502194 504558 588651 616682 753291 925023 1177302 1506582 1765953 1850046 2158387 2775069 3531906 4316774 5550138 6475161 12950322 19425483 30469697 38850966 60939394 91409091 182818182 213287879 274227273 335166667 426575758 548454546 639863637 670333334 1005500001 1279727274 1919590911 2011000002 2346166669 3016500003 3839181822 4692333338 6033000006 7038500007 14077000014 21115500021 42231000042