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1375738441344 = 27328913418173
BaseRepresentation
bin10100000001010000011…
…001101010111010000000
311212112000120120220202100
4110001100121222322000
5140020003020110334
62532001105150400
7201252036543621
oct24012031527200
94775016526670
101375738441344
114904a1537173
121a276402b400
139c96837bcc7
144a82c365a48
1525bbd204c99
hex1405066ae80

1375738441344 has 96 divisors (see below), whose sum is σ = 4003312212900. Its totient is φ = 453426868224.

The previous prime is 1375738441333. The next prime is 1375738441393. The reversal of 1375738441344 is 4431448375731.

It is a happy number.

1375738441344 is a `hidden beast` number, since 1 + 37 + 573 + 8 + 4 + 4 + 1 + 34 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1172265274944 + 203473166400 = 1082712^2 + 451080^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6606559 + ... + 6811614.

Almost surely, 21375738441344 is an apocalyptic number.

It is an amenable number.

1375738441344 is an abundant number, since it is smaller than the sum of its proper divisors (2627573771556).

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

1375738441344 is a wasteful number, since it uses less digits than its factorization.

1375738441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13418282 (or 13418267 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 1375738441344 in words is "one trillion, three hundred seventy-five billion, seven hundred thirty-eight million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 267 288 356 384 534 576 712 801 1068 1152 1424 1602 2136 2848 3204 4272 5696 6408 8544 11392 12816 17088 25632 34176 51264 102528 13418173 26836346 40254519 53672692 80509038 107345384 120763557 161018076 214690768 241527114 322036152 429381536 483054228 644072304 858763072 966108456 1194217397 1288144608 1717526144 1932216912 2388434794 2576289216 3582652191 3864433824 4776869588 5152578432 7165304382 7728867648 9553739176 10747956573 14330608764 15457735296 19107478352 21495913146 28661217528 38214956704 42991826292 57322435056 76429913408 85983652584 114644870112 152859826816 171967305168 229289740224 343934610336 458579480448 687869220672 1375738441344