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42341344314324 = 22311541592916377
BaseRepresentation
bin10011010000010010111001…
…10010011000001111010100
312112220210102002022200002120
421220021130302120033110
521022210033121024244
6230015202310335540
711630026661252616
oct1150113462301724
9175823362280076
1042341344314324
1112544955035470
1248ba05265a5b0
131a81a05392443
14a65491012db6
154d65dedd5819
hex26825cc983d4

42341344314324 has 48 divisors (see below), whose sum is σ = 107977187430336. Its totient is φ = 12806993721600.

The previous prime is 42341344314317. The next prime is 42341344314349.

42341344314324 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296386777 + ... + 296529600.

It is an arithmetic number, because the mean of its divisors is an integer number (2249524738132).

Almost surely, 242341344314324 is an apocalyptic number.

42341344314324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42341344314324 is an abundant number, since it is smaller than the sum of its proper divisors (65635843116012).

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

42341344314324 is a wasteful number, since it uses less digits than its factorization.

42341344314324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592916936 (or 592916934 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 4234134 and 4314324, that added together give a palindrome (8548458).

The spelling of 42341344314324 in words is "forty-two trillion, three hundred forty-one billion, three hundred forty-four million, three hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 541 1082 1623 2164 3246 5951 6492 11902 17853 23804 35706 71412 592916377 1185832754 1778749131 2371665508 3557498262 6522080147 7114996524 13044160294 19566240441 26088320588 39132480882 78264961764 320767759957 641535519914 962303279871 1283071039828 1924606559742 3528445359527 3849213119484 7056890719054 10585336078581 14113781438108 21170672157162 42341344314324