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31142005232 = 2413477144867
BaseRepresentation
bin11101000000001101…
…010100100111110000
32222101100011210001012
4131000031110213300
51002234323131412
622150105130052
72151504451112
oct350015244760
988340153035
1031142005232
1112230939508
126051489928
132c23b62240
141715d9d3b2
15c2400ac22
hex7403549f0

31142005232 has 80 divisors (see below), whose sum is σ = 67297692672. Its totient is φ = 13868977920.

The previous prime is 31142005231. The next prime is 31142005241. The reversal of 31142005232 is 23250024113.

It is a junction number, because it is equal to n+sod(n) for n = 31142005198 and 31142005207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31142005231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671663 + ... + 716529.

Almost surely, 231142005232 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 31142005232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33648846336).

31142005232 is an abundant number, since it is smaller than the sum of its proper divisors (36155687440).

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

31142005232 is a wasteful number, since it uses less digits than its factorization.

31142005232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45006 (or 45000 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 31142005232 its reverse (23250024113), we get a palindrome (54392029345).

The spelling of 31142005232 in words is "thirty-one billion, one hundred forty-two million, five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 47 52 71 94 104 142 188 208 284 376 568 611 752 923 1136 1222 1846 2444 3337 3692 4888 6674 7384 9776 13348 14768 26696 43381 44867 53392 86762 89734 173524 179468 347048 358936 583271 694096 717872 1166542 2108749 2333084 3185557 4217498 4666168 6371114 8434996 9332336 12742228 16869992 25484456 27413737 33739984 41412241 50968912 54827474 82824482 109654948 149721179 165648964 219309896 299442358 331297928 438619792 598884716 662595856 1197769432 1946375327 2395538864 3892750654 7785501308 15571002616 31142005232