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31140091488 = 2531125350581
BaseRepresentation
bin11101000000000110…
…000001011001100000
32222101012120112212210
4131000012001121200
51002233330411423
622150000122120
72151452260512
oct350006013140
988335515783
1031140091488
111222a851700
126050906340
132c2364214c
141715a21bb2
15c23c7db93
hex740181660

31140091488 has 144 divisors (see below), whose sum is σ = 91546540848. Its totient is φ = 9258163200.

The previous prime is 31140091481. The next prime is 31140091519. The reversal of 31140091488 is 88419004113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31140091481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590358 + ... + 640938.

It is an arithmetic number, because the mean of its divisors is an integer number (635739867).

Almost surely, 231140091488 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 31140091488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45773270424).

31140091488 is an abundant number, since it is smaller than the sum of its proper divisors (60406449360).

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

31140091488 is a wasteful number, since it uses less digits than its factorization.

31140091488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50669 (or 50650 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 31140091488 in words is "thirty-one billion, one hundred forty million, ninety-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 106 121 132 159 176 212 242 264 318 352 363 424 484 528 583 636 726 848 968 1056 1166 1272 1452 1696 1749 1936 2332 2544 2904 3498 3872 4664 5088 5808 6413 6996 9328 11616 12826 13992 18656 19239 25652 27984 38478 50581 51304 55968 76956 101162 102608 151743 153912 202324 205216 303486 307824 404648 556391 606972 615648 809296 1112782 1213944 1618592 1669173 2225564 2427888 2680793 3338346 4451128 4855776 5361586 6120301 6676692 8042379 8902256 10723172 12240602 13353384 16084758 17804512 18360903 21446344 24481204 26706768 29488723 32169516 36721806 42892688 48962408 53413536 58977446 64339032 73443612 85785376 88466169 97924816 117954892 128678064 146887224 176932338 195849632 235909784 257356128 293774448 324375953 353864676 471819568 587548896 648751906 707729352 943639136 973127859 1297503812 1415458704 1946255718 2595007624 2830917408 3892511436 5190015248 7785022872 10380030496 15570045744 31140091488