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42039858384 = 2433314766791
BaseRepresentation
bin100111001001110001…
…010101010011010000
311000111211102002011000
4213021301111103100
51142044200432014
631151324022000
73015533620536
oct471161252320
9130454362130
1042039858384
1116913449917
128193091900
133c6c873b64
14206b480156
151160b1e509
hex9c9c554d0

42039858384 has 160 divisors (see below), whose sum is σ = 127214714880. Its totient is φ = 13272508800.

The previous prime is 42039858379. The next prime is 42039858401. The reversal of 42039858384 is 48385893024.

42039858384 is a `hidden beast` number, since 4 + 20 + 39 + 8 + 583 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 42039858384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596029 + ... + 662819.

It is an arithmetic number, because the mean of its divisors is an integer number (795091968).

Almost surely, 242039858384 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 42039858384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63607357440).

42039858384 is an abundant number, since it is smaller than the sum of its proper divisors (85174856496).

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

42039858384 is a wasteful number, since it uses less digits than its factorization.

42039858384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66886 (or 66874 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 42039858384 in words is "forty-two billion, thirty-nine million, eight hundred fifty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 47 48 54 62 72 93 94 108 124 141 144 186 188 216 248 279 282 372 376 423 432 496 558 564 744 752 837 846 1116 1128 1269 1457 1488 1674 1692 2232 2256 2538 2914 3348 3384 4371 4464 5076 5828 6696 6768 8742 10152 11656 13113 13392 17484 20304 23312 26226 34968 39339 52452 66791 69936 78678 104904 133582 157356 200373 209808 267164 314712 400746 534328 601119 629424 801492 1068656 1202238 1602984 1803357 2070521 2404476 3139177 3205968 3606714 4141042 4808952 6211563 6278354 7213428 8282084 9417531 9617904 12423126 12556708 14426856 16564168 18634689 18835062 24846252 25113416 28252593 28853712 33128336 37269378 37670124 49692504 50226832 55904067 56505186 74538756 75340248 84757779 97314487 99385008 111808134 113010372 149077512 150680496 169515558 194628974 223616268 226020744 291943461 298155024 339031116 389257948 447232536 452041488 583886922 678062232 778515896 875830383 894465072 1167773844 1356124464 1557031792 1751660766 2335547688 2627491149 3503321532 4671095376 5254982298 7006643064 10509964596 14013286128 21019929192 42039858384