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138791493120 = 293572581687
BaseRepresentation
bin1000000101000010011…
…1100001111000000000
3111021020121200100222010
42001100213201320000
54233221110234440
6143432051212520
713012245140430
oct2012047417000
9437217610863
10138791493120
11539521a8025
1222a94ba7140
131011b3ac777
146a08d262c0
153924aa5580
hex20509e1e00

138791493120 has 160 divisors (see below), whose sum is σ = 507084830208. Its totient is φ = 31723757568.

The previous prime is 138791493083. The next prime is 138791493121. The reversal of 138791493120 is 21394197831.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 138791493120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138791493121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1237084 + ... + 1344603.

Almost surely, 2138791493120 is an apocalyptic number.

138791493120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138791493120 is an abundant number, since it is smaller than the sum of its proper divisors (368293337088).

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

138791493120 is an equidigital number, since it uses as much as digits as its factorization.

138791493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581720 (or 2581704 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 138791493120 in words is "one hundred thirty-eight billion, seven hundred ninety-one million, four hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 26880 53760 2581687 5163374 7745061 10326748 12908435 15490122 18071809 20653496 25816870 30980244 36143618 38725305 41306992 51633740 54215427 61960488 72287236 77450610 82613984 90359045 103267480 108430854 123920976 144574472 154901220 165227968 180718090 206534960 216861708 247841952 271077135 289148944 309802440 330455936 361436180 413069920 433723416 495683904 542154270 578297888 619604880 660911872 722872360 826139840 867446832 991367808 1084308540 1156595776 1239209760 1321823744 1445744720 1652279680 1734893664 1982735616 2168617080 2313191552 2478419520 2891489440 3304559360 3469787328 3965471232 4337234160 4626383104 4956839040 5782978880 6609118720 6939574656 8674468320 9252766208 9913678080 11565957760 13879149312 17348936640 19827356160 23131915520 27758298624 34697873280 46263831040 69395746560 138791493120