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42324155142324 = 223118330712583397
BaseRepresentation
bin10011001111110010111000…
…01110111001000010110100
312112212011001010212020222120
421213321130032321002310
521021414332204023244
6230003240510555540
711625551006562546
oct1147713416710264
9175764033766876
1042324155142324
111253863420a0a0
1248b6855b08bb0
131a801c6136453
14a6470016d696
154d5e35ce2819
hex267e5c3b90b4

42324155142324 has 96 divisors (see below), whose sum is σ = 109387378146816. Its totient is φ = 12629702897280.

The previous prime is 42324155142319. The next prime is 42324155142337.

42324155142324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×423241551423242 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2928207 + ... + 9655190.

It is an arithmetic number, because the mean of its divisors is an integer number (1139451855696).

Almost surely, 242324155142324 is an apocalyptic number.

42324155142324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42324155142324 is an abundant number, since it is smaller than the sum of its proper divisors (67063223004492).

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

42324155142324 is a wasteful number, since it uses less digits than its factorization.

42324155142324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12583805 (or 12583803 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 4232415 and 5142324, that added together give a palindrome (9374739).

The spelling of 42324155142324 in words is "forty-two trillion, three hundred twenty-four billion, one hundred fifty-five million, one hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 132 166 249 307 332 498 614 913 921 996 1228 1826 1842 2739 3377 3652 3684 5478 6754 10131 10956 13508 20262 25481 40524 50962 76443 101924 152886 280291 305772 560582 840873 1121164 1681746 3363492 12583397 25166794 37750191 50333588 75500382 138417367 151000764 276834734 415252101 553669468 830504202 1044421951 1661008404 2088843902 3133265853 3863102879 4177687804 6266531706 7726205758 11488641461 11589308637 12533063412 15452411516 22977282922 23178617274 34465924383 42494131669 45954565844 46357234548 68931848766 84988263338 127482395007 137863697532 169976526676 254964790014 320637538957 509929580028 641275077914 961912616871 1282550155828 1923825233742 3527012928527 3847650467484 7054025857054 10581038785581 14108051714108 21162077571162 42324155142324