Search a number
-
+
312145054032 = 24371317091627
BaseRepresentation
bin1001000101011010100…
…10111000100101010000
31002211200220222200211010
410202231102320211100
520103233113212112
6355221503450520
731360150116210
oct4425522704520
91084626880733
10312145054032
1111041a822139
12505b48b6a40
1323587050006
141117211c240
1581bda3363c
hex48ad4b8950

312145054032 has 80 divisors (see below), whose sum is σ = 928606136832. Its totient is φ = 88503492480.

The previous prime is 312145054031. The next prime is 312145054033. The reversal of 312145054032 is 230450541213.

It is an interprime number because it is at equal distance from previous prime (312145054031) and next prime (312145054033).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312145054031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3501798 + ... + 3589829.

Almost surely, 2312145054032 is an apocalyptic number.

It is an amenable number.

312145054032 is an abundant number, since it is smaller than the sum of its proper divisors (616461082800).

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

312145054032 is a wasteful number, since it uses less digits than its factorization.

312145054032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7091776 (or 7091770 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 312145054032 its reverse (230450541213), we get a palindrome (542595595245).

The spelling of 312145054032 in words is "three hundred twelve billion, one hundred forty-five million, fifty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 131 168 262 336 393 524 786 917 1048 1572 1834 2096 2751 3144 3668 5502 6288 7336 11004 14672 22008 44016 7091627 14183254 21274881 28366508 42549762 49641389 56733016 85099524 99282778 113466032 148924167 170199048 198565556 297848334 340398096 397131112 595696668 794262224 929003137 1191393336 1858006274 2382786672 2787009411 3716012548 5574018822 6503021959 7432025096 11148037644 13006043918 14864050192 19509065877 22296075288 26012087836 39018131754 44592150576 52024175672 78036263508 104048351344 156072527016 312145054032