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42232024024134 = 23717167907390499
BaseRepresentation
bin10011001101000111010001…
…10010100100010001000110
312112112100020100220112021220
421212203220302210101012
521013412141122233014
6225453042441221210
711616106632155460
oct1146435062442106
9175470210815256
1042232024024134
11125025566363aa
1248a0a23491806
131a7460294c3b9
14a60080205130
154d38428036a9
hex2668e8ca4446

42232024024134 has 128 divisors (see below), whose sum is σ = 102934250496000. Its totient is φ = 11276032743936.

The previous prime is 42232024024121. The next prime is 42232024024213. The reversal of 42232024024134 is 43142042023224.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42232024024095 and 42232024024104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107953617 + ... + 108344115.

It is an arithmetic number, because the mean of its divisors is an integer number (804173832000).

Almost surely, 242232024024134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42232024024134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51467125248000).

42232024024134 is an abundant number, since it is smaller than the sum of its proper divisors (60702226471866).

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

42232024024134 is a wasteful number, since it uses less digits than its factorization.

42232024024134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391602.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 42232024024134 its reverse (43142042023224), we get a palindrome (85374066047358).

The spelling of 42232024024134 in words is "forty-two trillion, two hundred thirty-two billion, twenty-four million, twenty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 167 238 334 357 501 714 907 1002 1169 1814 2338 2721 2839 3507 5442 5678 6349 7014 8517 12698 15419 17034 19047 19873 30838 38094 39746 46257 59619 92514 107933 119238 151469 215866 302938 323799 390499 454407 647598 780998 908814 1060283 1171497 2120566 2342994 2574973 2733493 3180849 5149946 5466986 6361698 6638483 7724919 8200479 13276966 15449838 16400958 18024811 19915449 36049622 39830898 46469381 54074433 65213333 92938762 108148866 130426666 139408143 195639999 278816286 354182593 391279998 456493331 708365186 912986662 1062547779 1108626661 1369479993 2125095558 2217253322 2479278151 2738959986 3325879983 4958556302 6021104081 6651759966 7437834453 7760386627 12042208162 14875668906 15520773254 18063312243 23281159881 36126624486 42147728567 46562319762 59148493031 84295457134 118296986062 126443185701 177445479093 252886371402 354890958186 414039451217 828078902434 1005524381527 1242118353651 2011048763054 2484236707302 3016573144581 6033146289162 7038670670689 14077341341378 21116012012067 42232024024134