Search a number
-
+
312834615990 = 235132351341191
BaseRepresentation
bin1001000110101100110…
…01010110101010110110
31002220110222112001222220
410203112121112222312
520111141130202430
6355414135303210
731413222235011
oct4432631265266
91086428461886
10312834615990
11110743a92256
125076781ab06
1323666b76340
14111d993a378
15820e343110
hex48d6656ab6

312834615990 has 64 divisors (see below), whose sum is σ = 808903452672. Its totient is φ = 76972464000.

The previous prime is 312834615923. The next prime is 312834616009. The reversal of 312834615990 is 99516438213.

It is a super-2 number, since 2×3128346159902 (a number of 24 digits) contains 22 as substring.

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, 746295 + ... + 1087485.

It is an arithmetic number, because the mean of its divisors is an integer number (12639116448).

Almost surely, 2312834615990 is an apocalyptic number.

312834615990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312834615990 is an abundant number, since it is smaller than the sum of its proper divisors (496068836682).

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

312834615990 is a wasteful number, since it uses less digits than its factorization.

312834615990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343565.

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 312834615990 in words is "three hundred twelve billion, eight hundred thirty-four million, six hundred fifteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 2351 4702 7053 11755 14106 23510 30563 35265 61126 70530 91689 152815 183378 305630 341191 458445 682382 916890 1023573 1705955 2047146 3411910 4435483 5117865 8870966 10235730 13306449 22177415 26612898 44354830 66532245 133064490 802140041 1604280082 2406420123 4010700205 4812840246 8021400410 10427820533 12032100615 20855641066 24064201230 31283461599 52139102665 62566923198 104278205330 156417307995 312834615990