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1446145435040 = 255231055937217
BaseRepresentation
bin10101000010110100111…
…111000010010110100000
312010020202100202210000112
4111002310333002112200
5142143201212410130
63024203335310452
7206323555244045
oct25026477022640
95106670683015
101446145435040
11508341440669
121b433321b428
13a64a8c16317
144ddcb0431cc
152793e40b495
hex150b4fc25a0

1446145435040 has 96 divisors (see below), whose sum is σ = 3565496309760. Its totient is φ = 553240551424.

The previous prime is 1446145435037. The next prime is 1446145435073. The reversal of 1446145435040 is 405345416441.

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, 38838512 + ... + 38875728.

It is an arithmetic number, because the mean of its divisors is an integer number (37140586560).

Almost surely, 21446145435040 is an apocalyptic number.

1446145435040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1446145435040 is an abundant number, since it is smaller than the sum of its proper divisors (2119350874720).

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

1446145435040 is a wasteful number, since it uses less digits than its factorization.

1446145435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47814 (or 47806 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

The spelling of 1446145435040 in words is "one trillion, four hundred forty-six billion, one hundred forty-five million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 10559 21118 37217 42236 52795 74434 84472 105590 148868 168944 186085 211180 242857 297736 337888 372170 422360 485714 595472 744340 844720 855991 971428 1190944 1214285 1488680 1689440 1711982 1942856 2428570 2977360 3423964 3885712 4279955 4857140 5954720 6847928 7771424 8559910 9714280 13695856 17119820 19428560 27391712 34239640 38857120 68479280 136958560 392974303 785948606 1571897212 1964871515 3143794424 3929743030 6287588848 7859486060 9038408969 12575177696 15718972120 18076817938 31437944240 36153635876 45192044845 62875888480 72307271752 90384089690 144614543504 180768179380 289229087008 361536358760 723072717520 1446145435040