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312009807204 = 223237437374623
BaseRepresentation
bin1001000101001010011…
…10111101010101100100
31002211100111111110001100
410202211032331111210
520102444002312304
6355200233000100
731353615413454
oct4424516752544
91084314443040
10312009807204
111103604471a7
1250577553030
13235650182c4
141115c193d64
1581b1c1a439
hex48a53bd564

312009807204 has 144 divisors (see below), whose sum is σ = 840210122752. Its totient is φ = 97483792896.

The previous prime is 312009807191. The next prime is 312009807209. The reversal of 312009807204 is 402708900213.

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

It is not an unprimeable number, because it can be changed into a prime (312009807209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4143837 + ... + 4218459.

Almost surely, 2312009807204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312009807204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420105061376).

312009807204 is an abundant number, since it is smaller than the sum of its proper divisors (528200315548).

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

312009807204 is a wasteful number, since it uses less digits than its factorization.

312009807204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74786 (or 74781 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 312009807204 in words is "three hundred twelve billion, nine million, eight hundred seven thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 43 73 74 86 111 129 146 148 172 219 222 258 292 333 387 438 444 516 657 666 774 876 1314 1332 1548 1591 2628 2701 3139 3182 4773 5402 6278 6364 8103 9417 9546 10804 12556 14319 16206 18834 19092 24309 28251 28638 32412 37668 48618 56502 57276 74623 97236 113004 116143 149246 223869 232286 298492 348429 447738 464572 671607 696858 895476 1045287 1343214 1393716 2090574 2686428 2761051 3208789 4181148 5447479 5522102 6417578 8283153 9626367 10894958 11044204 12835156 16342437 16566306 19252734 21789916 24849459 28879101 32684874 33132612 38505468 49027311 49698918 57758202 65369748 98054622 99397836 115516404 118725193 196109244 201556723 234241597 237450386 356175579 403113446 468483194 474900772 604670169 702724791 712351158 806226892 936966388 1068526737 1209340338 1405449582 1424702316 1814010507 2108174373 2137053474 2418680676 2810899164 3628021014 4216348746 4274106948 7256042028 8432697492 8666939089 17333878178 26000817267 34667756356 52001634534 78002451801 104003269068 156004903602 312009807204