Search a number
-
+
31540501400 = 2352536148779
BaseRepresentation
bin11101010111111101…
…011101101110011000
310000102010000111000112
4131113331131232120
51004043332021100
622253422223452
72164413560402
oct352775355630
9100363014015
1031540501400
1112415877591
126142a24b88
132c885981a5
141752c91b72
15c48ec3b35
hex757f5db98

31540501400 has 96 divisors (see below), whose sum is σ = 75941679600. Its totient is φ = 12174988800.

The previous prime is 31540501393. The next prime is 31540501409. The reversal of 31540501400 is 410504513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31540501409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622211 + ... + 670989.

Almost surely, 231540501400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31540501400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37970839800).

31540501400 is an abundant number, since it is smaller than the sum of its proper divisors (44401178200).

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

31540501400 is a wasteful number, since it uses less digits than its factorization.

31540501400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48909 (or 48900 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The spelling of 31540501400 in words is "thirty-one billion, five hundred forty million, five hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 61 100 106 122 200 212 244 265 305 424 488 530 610 1060 1220 1325 1525 2120 2440 2650 3050 3233 5300 6100 6466 10600 12200 12932 16165 25864 32330 48779 64660 80825 97558 129320 161650 195116 243895 323300 390232 487790 646600 975580 1219475 1951160 2438950 2585287 2975519 4877900 5170574 5951038 9755800 10341148 11902076 12926435 14877595 20682296 23804152 25852870 29755190 51705740 59510380 64632175 74387975 103411480 119020760 129264350 148775950 157702507 258528700 297551900 315405014 517057400 595103800 630810028 788512535 1261620056 1577025070 3154050140 3942562675 6308100280 7885125350 15770250700 31540501400