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231434341212144 = 24372531856584049
BaseRepresentation
bin110100100111110100000001…
…101100100101111111110000
31010100102220111011100221102110
4310213310001230211333300
5220313310012322242034
62140115245114445320
766514402503113100
oct6447640154457760
91110386434327373
10231434341212144
1167818831151654
1221b59638733840
139c1a21abb8a65
1441216a63d9200
151bb5211cc6de9
hexd27d01b25ff0

231434341212144 has 120 divisors (see below), whose sum is σ = 708606147531600. Its totient is φ = 64876472973312.

The previous prime is 231434341212133. The next prime is 231434341212227. The reversal of 231434341212144 is 441212143434132.

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 23 ways as a sum of consecutive naturals, for example, 928167369 + ... + 928416680.

It is an arithmetic number, because the mean of its divisors is an integer number (5905051229430).

Almost surely, 2231434341212144 is an apocalyptic number.

231434341212144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231434341212144 is an abundant number, since it is smaller than the sum of its proper divisors (477171806319456).

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

231434341212144 is a wasteful number, since it uses less digits than its factorization.

231434341212144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856584127 (or 1856584114 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

Adding to 231434341212144 its reverse (441212143434132), we get a palindrome (672646484646276).

The spelling of 231434341212144 in words is "two hundred thirty-one trillion, four hundred thirty-four billion, three hundred forty-one million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 53 56 84 98 106 112 147 159 168 196 212 294 318 336 371 392 424 588 636 742 784 848 1113 1176 1272 1484 2226 2352 2544 2597 2968 4452 5194 5936 7791 8904 10388 15582 17808 20776 31164 41552 62328 124656 1856584049 3713168098 5569752147 7426336196 11139504294 12996088343 14852672392 22279008588 25992176686 29705344784 38988265029 44558017176 51984353372 77976530058 89116034352 90972618401 98398954597 103968706744 155953060116 181945236802 196797909194 207937413488 272917855203 295196863791 311906120232 363890473604 393595818388 545835710406 590393727582 623812240464 688792682179 727780947208 787191636776 1091671420812 1180787455164 1377585364358 1455561894416 1574383273552 2066378046537 2183342841624 2361574910328 2755170728716 4132756093074 4366685683248 4723149820656 4821548775253 5510341457432 8265512186148 9643097550506 11020682914864 14464646325759 16531024372296 19286195101012 28929292651518 33062048744592 38572390202024 57858585303036 77144780404048 115717170606072 231434341212144