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441042160416 = 253111332127197
BaseRepresentation
bin1100110101100000010…
…10010100101100100000
31120011101222122010211020
412122300022110230200
524211223243113131
6534340104045440
743602302336244
oct6326012245440
91504358563736
10441042160416
1116005488aa40
1271588163880
133278959ca70
14174bcd34424
15b714b3d996
hex66b0294b20

441042160416 has 96 divisors (see below), whose sum is σ = 1360137054528. Its totient is φ = 123368432640.

The previous prime is 441042160409. The next prime is 441042160457. The reversal of 441042160416 is 614061240144.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16049871 + ... + 16077326.

It is an arithmetic number, because the mean of its divisors is an integer number (14168094318).

Almost surely, 2441042160416 is an apocalyptic number.

It is an amenable number.

441042160416 is an abundant number, since it is smaller than the sum of its proper divisors (919094894112).

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

441042160416 is a wasteful number, since it uses less digits than its factorization.

441042160416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32127234 (or 32127226 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 441042160416 in words is "four hundred forty-one billion, forty-two million, one hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 32127197 64254394 96381591 128508788 192763182 257017576 353399167 385526364 417653561 514035152 706798334 771052728 835307122 1028070304 1060197501 1252960683 1413596668 1542105456 1670614244 2120395002 2505921366 2827193336 3084210912 3341228488 4240790004 4594189171 5011842732 5654386672 6682456976 8481580008 9188378342 10023685464 11308773344 13364913952 13782567513 16963160016 18376756684 20047370928 27565135026 33926320032 36753513368 40094741856 55130270052 73507026736 110260540104 147014053472 220521080208 441042160416