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42039799824 = 24311191443941
BaseRepresentation
bin100111001001110001…
…000111000000010000
311000111211022002211010
4213021301013000100
51142044142043244
631151322450520
73015533255031
oct471161070020
9130454262733
1042039799824
1116913409920
128193063a40
133c6c8532c9
14206b466a88
151160b0beb9
hex9c9c47010

42039799824 has 160 divisors (see below), whose sum is σ = 119491780608. Its totient is φ = 12630592000.

The previous prime is 42039799819. The next prime is 42039799829. The reversal of 42039799824 is 42899793024.

It is an interprime number because it is at equal distance from previous prime (42039799819) and next prime (42039799829).

It is not an unprimeable number, because it can be changed into a prime (42039799829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44675194 + ... + 44676134.

Almost surely, 242039799824 is an apocalyptic number.

42039799824 is a gapful number since it is divisible by the number (44) 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 42039799824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59745890304).

42039799824 is an abundant number, since it is smaller than the sum of its proper divisors (77451980784).

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

42039799824 is a wasteful number, since it uses less digits than its factorization.

42039799824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 42039799824 in words is "forty-two billion, thirty-nine million, seven hundred ninety-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 191 264 382 443 528 573 764 886 941 1146 1329 1528 1772 1882 2101 2292 2658 2823 3056 3544 3764 4202 4584 4873 5316 5646 6303 7088 7528 8404 9168 9746 10351 10632 11292 12606 14619 15056 16808 19492 20702 21264 22584 25212 29238 31053 33616 38984 41404 45168 50424 58476 62106 77968 82808 84613 100848 116952 124212 165616 169226 179731 233904 248424 253839 338452 359462 416863 496848 507678 539193 676904 718924 833726 930743 1015356 1078386 1250589 1353808 1437848 1667452 1861486 1977041 2030712 2156772 2501178 2792229 2875696 3334904 3722972 3954082 4061424 4313544 4585493 5002356 5584458 5931123 6669808 7445944 7908164 8627088 9170986 10004712 11168916 11862246 13756479 14891888 15816328 18341972 20009424 22337832 23724492 27512958 31632656 36683944 44675664 47448984 55025916 73367888 79620833 94897968 110051832 159241666 220103664 238862499 318483332 477724998 636966664 875829163 955449996 1273933328 1751658326 1910899992 2627487489 3503316652 3821799984 5254974978 7006633304 10509949956 14013266608 21019899912 42039799824