Search a number
-
+
31318788144 = 2437891047311
BaseRepresentation
bin11101001010101111…
…101100100000110000
32222211122211021121110
4131022233230200300
51003120102210034
622215422153320
72156052210150
oct351257544060
988748737543
1031318788144
1112311704096
1260a0722840
132c5167aa07
14173165a760
15c347cade9
hex74abec830

31318788144 has 80 divisors (see below), whose sum is σ = 93504015360. Its totient is φ = 8847674880.

The previous prime is 31318788107. The next prime is 31318788157. The reversal of 31318788144 is 44188781313.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31318788093 and 31318788102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493752 + ... + 553559.

It is an arithmetic number, because the mean of its divisors is an integer number (1168800192).

Almost surely, 231318788144 is an apocalyptic number.

It is an amenable number.

31318788144 is an abundant number, since it is smaller than the sum of its proper divisors (62185227216).

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

31318788144 is a wasteful number, since it uses less digits than its factorization.

31318788144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047418 (or 1047412 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The spelling of 31318788144 in words is "thirty-one billion, three hundred eighteen million, seven hundred eighty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 112 168 178 267 336 356 534 623 712 1068 1246 1424 1869 2136 2492 3738 4272 4984 7476 9968 14952 29904 1047311 2094622 3141933 4189244 6283866 7331177 8378488 12567732 14662354 16756976 21993531 25135464 29324708 43987062 50270928 58649416 87974124 93210679 117298832 175948248 186421358 279632037 351896496 372842716 559264074 652474753 745685432 1118528148 1304949506 1491370864 1957424259 2237056296 2609899012 3914848518 4474112592 5219798024 7829697036 10439596048 15659394072 31318788144