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42524045334 = 2344753167631
BaseRepresentation
bin100111100110101000…
…010111000000010110
311001202120111022210000
4213212220113000112
51144042123422314
631311341512130
73033533264361
oct474650270026
9131676438700
1042524045334
1117041795721
1282a9272646
134018c80504
1420b58bb0d8
15118d3b2209
hex9e6a17016

42524045334 has 160 divisors (see below), whose sum is σ = 99900573696. Its totient is φ = 13508389440.

The previous prime is 42524045303. The next prime is 42524045359. The reversal of 42524045334 is 43354042524.

42524045334 is a `hidden beast` number, since 42 + 5 + 240 + 45 + 334 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67391199 + ... + 67391829.

Almost surely, 242524045334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42524045334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49950286848).

42524045334 is an abundant number, since it is smaller than the sum of its proper divisors (57376528362).

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

42524045334 is a wasteful number, since it uses less digits than its factorization.

42524045334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 42524045334 its reverse (43354042524), we get a palindrome (85878087858).

The spelling of 42524045334 in words is "forty-two billion, five hundred twenty-four million, forty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 47 53 54 81 94 106 141 159 162 167 282 318 334 423 477 501 631 846 954 1002 1262 1269 1431 1503 1893 2491 2538 2862 3006 3786 3807 4293 4509 4982 5679 7473 7614 7849 8586 8851 9018 11358 13527 14946 15698 17037 17702 22419 23547 26553 27054 29657 33443 34074 44838 47094 51111 53106 59314 66886 67257 70641 79659 88971 100329 102222 105377 134514 141282 159318 177942 200658 201771 210754 211923 238977 266913 300987 316131 403542 415997 423846 477954 533826 601974 632262 635769 716931 800739 831994 902961 948393 1247991 1271538 1433862 1571821 1601478 1805922 1896786 2402217 2495982 2708883 2845179 3143642 3743973 4715463 4804434 4952719 5417766 5584981 5690358 7487946 8535537 9430926 9905438 11169962 11231919 14146389 14858157 16754943 17071074 22463838 28292778 29716314 33509886 33695757 42439167 44574471 50264829 67391514 84878334 89148942 100529658 127317501 133723413 150794487 254635002 262494107 267446826 301588974 401170239 452383461 524988214 787482321 802340478 904766922 1574964642 2362446963 4724893926 7087340889 14174681778 21262022667 42524045334