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42232322233431 = 321124114323123583
BaseRepresentation
bin10011001101000111110101…
…00100001001010001010111
312112112101000011001010112200
421212203322210021101113
521013413243442432211
6225453132213015543
711616120212666361
oct1146437244112127
9175471004033480
1042232322233431
11125026999a7470
1248a0aa73245b3
131a7464c6710c5
14a600aba6dd31
154d385daabb56
hex2668fa909457

42232322233431 has 48 divisors (see below), whose sum is σ = 66829240338432. Its totient is φ = 25487156217600.

The previous prime is 42232322233337. The next prime is 42232322233433. The reversal of 42232322233431 is 13433222323224.

42232322233431 is a `hidden beast` number, since 42 + 2 + 3 + 232 + 22 + 334 + 31 = 666.

It is not a de Polignac number, because 42232322233431 - 219 = 42232321709143 is a prime.

It is a super-2 number, since 2×422323222334312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42232322233433) 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, 341670666 + ... + 341794248.

It is an arithmetic number, because the mean of its divisors is an integer number (1392275840384).

Almost surely, 242232322233431 is an apocalyptic number.

42232322233431 is a deficient number, since it is larger than the sum of its proper divisors (24596918105001).

42232322233431 is a wasteful number, since it uses less digits than its factorization.

42232322233431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138164 (or 138161 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 42232322233431 its reverse (13433222323224), we get a palindrome (55665544556655).

The spelling of 42232322233431 in words is "forty-two trillion, two hundred thirty-two billion, three hundred twenty-two million, two hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 241 723 2169 2651 7953 14323 23859 42969 123583 128907 157553 370749 472659 1112247 1359413 1417977 3451843 4078239 10355529 12234717 29783503 31066587 37970273 89350509 113910819 268051527 327618533 341732457 982855599 1770079309 2948566797 5310237927 15930713781 19470872399 58412617197 175237851591 426589113469 1279767340407 3839302021221 4692480248159 14077440744477 42232322233431