Search a number
-
+
31435839952 = 24111737443641
BaseRepresentation
bin11101010001101110…
…001101100111010000
310000010211002010111121
4131101232031213100
51003340033334302
622235203052024
72162003142106
oct352156154720
9100124063447
1031435839952
1112371791920
126113971014
132c6c9b1a3a
141743009c76
15c3ebece37
hex751b8d9d0

31435839952 has 160 divisors (see below), whose sum is σ = 72529893504. Its totient is φ = 13035110400.

The previous prime is 31435839937. The next prime is 31435839959. The reversal of 31435839952 is 25993853413.

It is a self number, because there is not a number n which added to its sum of digits gives 31435839952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31435839959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49041552 + ... + 49042192.

Almost surely, 231435839952 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 31435839952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36264946752).

31435839952 is an abundant number, since it is smaller than the sum of its proper divisors (41094053552).

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

31435839952 is a wasteful number, since it uses less digits than its factorization.

31435839952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1151 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 52.

The spelling of 31435839952 in words is "thirty-one billion, four hundred thirty-five million, eight hundred thirty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 34 37 44 68 74 88 136 148 176 187 272 296 374 407 443 592 629 641 748 814 886 1258 1282 1496 1628 1772 2516 2564 2992 3256 3544 4873 5032 5128 6512 6919 7051 7088 7531 9746 10064 10256 10897 13838 14102 15062 16391 19492 21794 23717 27676 28204 30124 32782 38984 43588 47434 55352 56408 60248 65564 77968 82841 87176 94868 110704 112816 119867 120496 131128 165682 174352 180301 189736 239734 260887 262256 278647 283963 331364 360602 379472 403189 479468 521774 557294 567926 662728 721204 806378 958936 1043548 1114588 1135852 1325456 1442408 1612756 1917872 2087096 2229176 2271704 2884816 3065117 3123593 3225512 4174192 4435079 4458352 4543408 4827371 6130234 6247186 6451024 8870158 9654742 10506631 12260468 12494372 17740316 19309484 21013262 24520936 24988744 35480632 38618968 42026524 49041872 49977488 53101081 70961264 77237936 84053048 106202162 115572941 168106096 178612727 212404324 231145882 357225454 424808648 462291764 714450908 849617296 924583528 1428901816 1849167056 1964739997 2857803632 3929479994 7858959988 15717919976 31435839952