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42313011031324 = 22112195257987511
BaseRepresentation
bin10011001111011110000111…
…11111011110110100011100
312112211002021111020202121201
421213233003333132310130
521021224021311000244
6225554155014005244
711625004600315165
oct1147570377366434
9175732244222551
1042313011031324
11125339356a1600
1248b4665946824
131a7c13b3c2527
14a63d640a876c
154d59d2788ad4
hex267bc3fded1c

42313011031324 has 72 divisors (see below), whose sum is σ = 85677713475200. Its totient is φ = 18220359088800.

The previous prime is 42313011031307. The next prime is 42313011031349.

42313011031324 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42313011031292 and 42313011031301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483472729 + ... + 483560239.

Almost surely, 242313011031324 is an apocalyptic number.

42313011031324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42313011031324 is an abundant number, since it is smaller than the sum of its proper divisors (43364702443876).

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

42313011031324 is a wasteful number, since it uses less digits than its factorization.

42313011031324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140135 (or 140122 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 4231301 and 1031324, that added together give a palindrome (5262625).

The spelling of 42313011031324 in words is "forty-two trillion, three hundred thirteen billion, eleven million, thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 242 418 484 836 2299 4598 9196 52579 87511 105158 175022 210316 350044 578369 962621 999001 1156738 1662709 1925242 1998002 2313476 3325418 3850484 3996004 6362059 6650836 10588831 10989011 12724118 18289799 21177662 21978022 25448236 36579598 42355324 43956044 73159196 120879121 201187789 241758242 402375578 483516484 804751156 4601240869 9202481738 18404963476 50613649559 87423576511 101227299118 174847153022 202454598236 349694306044 556750145149 961659341621 1113500290298 1923318683242 2227000580596 3846637366484 10578252757831 21156505515662 42313011031324