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31134243712 = 2711139671759
BaseRepresentation
bin11100111111101111…
…101101101110000000
32222100210120110020111
4130333233231232000
51002230331244322
622145230521104
72151351463555
oct347757555600
988323513214
1031134243712
1112227518130
12604a966194
132c22375520
141714d3ca2c
15c234c6177
hex73fbedb80

31134243712 has 128 divisors (see below), whose sum is σ = 72985651200. Its totient is φ = 13042391040.

The previous prime is 31134243709. The next prime is 31134243713. The reversal of 31134243712 is 21734243113.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×311342437122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31134243713) 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, 17699089 + ... + 17700847.

It is an arithmetic number, because the mean of its divisors is an integer number (570200400).

Almost surely, 231134243712 is an apocalyptic number.

31134243712 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 31134243712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36492825600).

31134243712 is an abundant number, since it is smaller than the sum of its proper divisors (41851407488).

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

31134243712 is a wasteful number, since it uses less digits than its factorization.

31134243712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2752 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

Adding to 31134243712 its reverse (21734243113), we get a palindrome (52868486825).

The spelling of 31134243712 in words is "thirty-one billion, one hundred thirty-four million, two hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 286 352 416 572 704 832 967 1144 1408 1664 1759 1934 2288 3518 3868 4576 7036 7736 9152 10637 12571 14072 15472 18304 19349 21274 22867 25142 28144 30944 38698 42548 45734 50284 56288 61888 77396 85096 91468 100568 112576 123776 138281 154792 170192 182936 201136 225152 251537 276562 309584 340384 365872 402272 503074 553124 619168 680768 731744 804544 1006148 1106248 1238336 1361536 1463488 1609088 1700953 2012296 2212496 2476672 2926976 3401906 4024592 4424992 6803812 8049184 8849984 13607624 16098368 17699968 18710483 22112389 27215248 32196736 37420966 44224778 54430496 74841932 88449556 108860992 149683864 176899112 217721984 243236279 299367728 353798224 486472558 598735456 707596448 972945116 1197470912 1415192896 1945890232 2394941824 2830385792 3891780464 7783560928 15567121856 31134243712