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423513315324 = 2232112432261053
BaseRepresentation
bin1100010100110110101…
…11000101011111111100
31111111011101000112211100
412022123113011133330
523414323402042244
6522320452053100
742412024532511
oct6123327053774
91444141015740
10423513315324
1115367a253200
126a0b5904190
1330c24b65188
14166d8d11308
15b03ad01b69
hex629b5c57fc

423513315324 has 108 divisors (see below), whose sum is σ = 1204083608728. Its totient is φ = 125352722880.

The previous prime is 423513315311. The next prime is 423513315349.

423513315324 is a `hidden beast` number, since 4 + 2 + 3 + 5 + 13 + 315 + 324 = 666.

423513315324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 943219 + ... + 1317834.

Almost surely, 2423513315324 is an apocalyptic number.

423513315324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

423513315324 is an abundant number, since it is smaller than the sum of its proper divisors (780570293404).

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

423513315324 is a wasteful number, since it uses less digits than its factorization.

423513315324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261128 (or 2261112 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 423513 and 315324, that added together give a palindrome (738837).

The spelling of 423513315324 in words is "four hundred twenty-three billion, five hundred thirteen million, three hundred fifteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 121 129 132 172 198 242 258 363 387 396 473 484 516 726 774 946 1089 1419 1452 1548 1892 2178 2838 4257 4356 5203 5676 8514 10406 15609 17028 20812 31218 46827 62436 93654 187308 2261053 4522106 6783159 9044212 13566318 20349477 24871583 27132636 40698954 49743166 74614749 81397908 97225279 99486332 149229498 194450558 223844247 273587413 291675837 298458996 388901116 447688494 547174826 583351674 820762239 875027511 895376988 1069478069 1094349652 1166703348 1641524478 1750055022 2138956138 2462286717 3208434207 3283048956 3500110044 4277912276 4924573434 6416868414 9625302621 9849146868 11764258759 12833736828 19250605242 23528517518 35292776277 38501210484 47057035036 70585552554 105878328831 141171105108 211756657662 423513315324