Search a number
-
+
31024717250040 = 2332586179770139
BaseRepresentation
bin1110000110111100000010…
…10000000011110111111000
311001211221012212222120202100
413003132001100003313320
513031302110104000130
6145552320334103400
76351314262323553
oct703360120036770
9131757185876670
1031024717250040
119981566090818
12359096b04ab60
1314408064a3017
147938663b769a
1538c0564aec60
hex1c3781403df8

31024717250040 has 48 divisors (see below), whose sum is σ = 100830331063800. Its totient is φ = 8273257933248.

The previous prime is 31024717250029. The next prime is 31024717250047. The reversal of 31024717250040 is 4005271742013.

31024717250040 is a `hidden beast` number, since 3 + 1 + 0 + 2 + 47 + 1 + 72 + 500 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31024717249977 and 31024717250004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31024717250047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43089884710 + ... + 43089885429.

Almost surely, 231024717250040 is an apocalyptic number.

31024717250040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31024717250040 is an abundant number, since it is smaller than the sum of its proper divisors (69805613813760).

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

31024717250040 is a wasteful number, since it uses less digits than its factorization.

31024717250040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86179770156 (or 86179770149 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 31024717250040 its reverse (4005271742013), we get a palindrome (35029988992053).

The spelling of 31024717250040 in words is "thirty-one trillion, twenty-four billion, seven hundred seventeen million, two hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 86179770139 172359540278 258539310417 344719080556 430898850695 517078620834 689438161112 775617931251 861797701390 1034157241668 1292696552085 1551235862502 1723595402780 2068314483336 2585393104170 3102471725004 3447190805560 3878089656255 5170786208340 6204943450008 7756179312510 10341572416680 15512358625020 31024717250040