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424016352521344 = 2711793811999717
BaseRepresentation
bin110000001101001000000000…
…0000100100010110010000000
32001121022120022122120110220101
41200122100000010202302000
5421034040442221140334
64101450231230252144
7155212112331055612
oct14032200004426200
92047276278513811
10424016352521344
11113117363a07650
123b681262657054
131527975544013b
14769c7028dcdb2
15340498989b214
hex181a400122c80

424016352521344 has 64 divisors (see below), whose sum is σ = 933177530966400. Its totient is φ = 190295025822720.

The previous prime is 424016352521303. The next prime is 424016352521383. The reversal of 424016352521344 is 443125253610424.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 424016352521294 and 424016352521303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1905888627 + ... + 1906111090.

It is an arithmetic number, because the mean of its divisors is an integer number (14580898921350).

Almost surely, 2424016352521344 is an apocalyptic number.

424016352521344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424016352521344 is an abundant number, since it is smaller than the sum of its proper divisors (509161178445056).

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

424016352521344 is a wasteful number, since it uses less digits than its factorization.

424016352521344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811999821 (or 3811999809 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 46.

The spelling of 424016352521344 in words is "four hundred twenty-four trillion, sixteen billion, three hundred fifty-two million, five hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 128 158 176 316 352 632 704 869 1264 1408 1738 2528 3476 5056 6952 10112 13904 27808 55616 111232 3811999717 7623999434 15247998868 30495997736 41931996887 60991995472 83863993774 121983990944 167727987548 243967981888 301147977643 335455975096 487935963776 602295955286 670911950192 1204591910572 1341823900384 2409183821144 2683647800768 3312627754073 4818367642288 5367295601536 6625255508146 9636735284576 13250511016292 19273470569152 26501022032584 38546941138304 53002044065168 106004088130336 212008176260672 424016352521344