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31443042112 = 264767891753
BaseRepresentation
bin11101010010001001…
…101011111101000000
310000011022122001000021
4131102021223331000
51003343404321422
622240021303224
72162121306466
oct352211537500
9100138561007
1031443042112
1112375860a19
126116264b14
132c71333c81
141743d62836
15c40671dc7
hex75226bf40

31443042112 has 112 divisors (see below), whose sum is σ = 65437390080. Its totient is φ = 14978506752.

The previous prime is 31443042109. The next prime is 31443042119. The reversal of 31443042112 is 21124034413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31443042119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17935828 + ... + 17937580.

Almost surely, 231443042112 is an apocalyptic number.

31443042112 is a gapful number since it is divisible by the number (32) 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 31443042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32718695040).

31443042112 is an abundant number, since it is smaller than the sum of its proper divisors (33994347968).

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

31443042112 is a wasteful number, since it uses less digits than its factorization.

31443042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 31443042112 its reverse (21124034413), we get a palindrome (52567076525).

The spelling of 31443042112 in words is "thirty-one billion, four hundred forty-three million, forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 67 89 94 134 178 188 268 356 376 536 712 752 1072 1424 1504 1753 2144 2848 3008 3149 3506 4183 4288 5696 5963 6298 7012 8366 11926 12596 14024 16732 23852 25192 28048 33464 47704 50384 56096 66928 82391 95408 100768 112192 117451 133856 156017 164782 190816 201536 234902 267712 280261 312034 329564 381632 469804 560522 624068 659128 939608 1121044 1248136 1318256 1879216 2242088 2496272 2636512 3758432 4484176 4992544 5273024 5520197 7332799 7516864 8968352 9985088 10453139 11040394 14665598 17936704 20906278 22080788 29331196 41812556 44161576 58662392 83625112 88323152 117324784 167250224 176646304 234649568 334500448 353292608 469299136 491297533 669000896 982595066 1965190132 3930380264 7860760528 15721521056 31443042112