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1442058504408 = 2332349479119809
BaseRepresentation
bin10100111111000001011…
…000101000100011011000
312002212012112111012011100
4110333001120220203120
5142111313434120113
63022250022231400
7206120361020304
oct24770130504330
95085175435140
101442058504408
11506634482145
121b3592585560
13a5ca72a8a82
144db20340d04
15277a0713d73
hex14fc16288d8

1442058504408 has 96 divisors (see below), whose sum is σ = 3924975600000. Its totient is φ = 478304206848.

The previous prime is 1442058504391. The next prime is 1442058504409. The reversal of 1442058504408 is 8044058502441.

1442058504408 is a `hidden beast` number, since 1 + 4 + 4 + 20 + 585 + 0 + 4 + 40 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442058504409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11976408 + ... + 12096216.

It is an arithmetic number, because the mean of its divisors is an integer number (40885162500).

Almost surely, 21442058504408 is an apocalyptic number.

1442058504408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1442058504408 is an abundant number, since it is smaller than the sum of its proper divisors (2482917095592).

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

1442058504408 is a wasteful number, since it uses less digits than its factorization.

1442058504408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120649 (or 120642 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 1442058504408 in words is "one trillion, four hundred forty-two billion, fifty-eight million, five hundred four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 349 479 698 958 1047 1396 1437 1916 2094 2792 2874 3141 3832 4188 4311 5748 6282 8376 8622 11496 12564 17244 25128 34488 119809 167171 239618 334342 359427 479236 501513 668684 718854 958472 1003026 1078281 1337368 1437708 1504539 2006052 2156562 2875416 3009078 4012104 4313124 6018156 8626248 12036312 41813341 57388511 83626682 114777022 125440023 167253364 172165533 229554044 250880046 334506728 344331066 376320069 459108088 501760092 516496599 688662132 752640138 1003520184 1032993198 1377324264 1505280276 2065986396 3010560552 4131972792 20028590339 40057180678 60085771017 80114361356 120171542034 160228722712 180257313051 240343084068 360514626102 480686168136 721029252204 1442058504408