Search a number
-
+
2931213342780 = 223356538312669
BaseRepresentation
bin101010101001111001111…
…011100001100000111100
3101101012222022001000222000
4222221321323201200330
5341011111103432110
610122325242422300
7421526125213662
oct52517173414074
911335868030860
102931213342780
11a30136574038
123b4109501990
1318354889bc78
14a1c2b4c4c32
15513aa9071c0
hex2aa79ee183c

2931213342780 has 96 divisors (see below), whose sum is σ = 9133296782400. Its totient is φ = 780459773184.

The previous prime is 2931213342767. The next prime is 2931213342791. The reversal of 2931213342780 is 872433121392.

2931213342780 is a `hidden beast` number, since 2 + 9 + 3 + 1 + 213 + 3 + 427 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3803715 + ... + 4508954.

It is an arithmetic number, because the mean of its divisors is an integer number (95138508150).

Almost surely, 22931213342780 is an apocalyptic number.

2931213342780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2931213342780 is an abundant number, since it is smaller than the sum of its proper divisors (6202083439620).

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

2931213342780 is a wasteful number, since it uses less digits than its factorization.

2931213342780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8313340 (or 8313332 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2931213342780 in words is "two trillion, nine hundred thirty-one billion, two hundred thirteen million, three hundred forty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 653 1306 1959 2612 3265 3918 5877 6530 7836 9795 11754 13060 17631 19590 23508 29385 35262 39180 58770 70524 88155 117540 176310 352620 8312669 16625338 24938007 33250676 41563345 49876014 74814021 83126690 99752028 124690035 149628042 166253380 224442063 249380070 299256084 374070105 448884126 498760140 748140210 897768252 1122210315 1496280420 2244420630 4488841260 5428172857 10856345714 16284518571 21712691428 27140864285 32569037142 48853555713 54281728570 65138074284 81422592855 97707111426 108563457140 146560667139 162845185710 195414222852 244267778565 293121334278 325690371420 488535557130 586242668556 732803335695 977071114260 1465606671390 2931213342780