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31996034424 = 23331734725111
BaseRepresentation
bin11101110011000111…
…001011110101111000
310001120212011221212000
4131303013023311320
51011011441100144
622410534021000
72211614543124
oct356307136570
9101525157760
1031996034424
1112629a22262
12624b4a7760
13302ba81463
141797590584
15c73ea6769
hex7731cbd78

31996034424 has 128 divisors (see below), whose sum is σ = 94380940800. Its totient is φ = 10008645120.

The previous prime is 31996034401. The next prime is 31996034429. The reversal of 31996034424 is 42443069913.

31996034424 is a `hidden beast` number, since 3 + 19 + 9 + 603 + 4 + 4 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31996034424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31996034429) 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, 1261629 + ... + 1286739.

It is an arithmetic number, because the mean of its divisors is an integer number (737351100).

Almost surely, 231996034424 is an apocalyptic number.

31996034424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31996034424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47190470400).

31996034424 is an abundant number, since it is smaller than the sum of its proper divisors (62384906376).

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

31996034424 is a wasteful number, since it uses less digits than its factorization.

31996034424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25490 (or 25480 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 31996034424 in words is "thirty-one billion, nine hundred ninety-six million, thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 347 408 459 612 694 918 1041 1224 1388 1836 2082 2776 3123 3672 4164 5899 6246 8328 9369 11798 12492 17697 18738 23596 24984 25111 35394 37476 47192 50222 53091 70788 74952 75333 100444 106182 141576 150666 159273 200888 212364 225999 301332 318546 424728 426887 451998 602664 637092 677997 853774 903996 1274184 1280661 1355994 1707548 1807992 2561322 2711988 3415096 3841983 5122644 5423976 7683966 8713517 10245288 11525949 15367932 17427034 23051898 26140551 30735864 34854068 46103796 52281102 69708136 78421653 92207592 104562204 148129789 156843306 209124408 235264959 296259578 313686612 444389367 470529918 592519156 627373224 888778734 941059836 1185038312 1333168101 1777557468 1882119672 2666336202 3555114936 3999504303 5332672404 7999008606 10665344808 15998017212 31996034424