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149585043003840 = 2633517313083681
BaseRepresentation
bin100010000000101111111011…
…010110100001100111000000
3201121122012010211200021221000
4202000233323112201213000
5124101300132002110330
61250050230423332000
743336106545401513
oct4200577326414700
9647565124607830
10149585043003840
114373172a113314
121493a7002b1000
136560a6958a6b2
1428d1d51a28d7a
1512460b48b8560
hex880bfb5a19c0

149585043003840 has 112 divisors (see below), whose sum is σ = 527702790627360. Its totient is φ = 39889344798720.

The previous prime is 149585043003817. The next prime is 149585043003871. The reversal of 149585043003840 is 48300340585941.

It is a happy number.

149585043003840 is a `hidden beast` number, since 1 + 4 + 9 + 58 + 504 + 3 + 0 + 0 + 3 + 84 + 0 = 666.

149585043003840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 8656533201 + ... + 8656550480.

Almost surely, 2149585043003840 is an apocalyptic number.

149585043003840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149585043003840 is an abundant number, since it is smaller than the sum of its proper divisors (378117747623520).

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

149585043003840 is a wasteful number, since it uses less digits than its factorization.

149585043003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17313083707 (or 17313083691 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 149585043003840 in words is "one hundred forty-nine trillion, five hundred eighty-five billion, forty-three million, three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 17313083681 34626167362 51939251043 69252334724 86565418405 103878502086 138504669448 155817753129 173130836810 207757004172 259696255215 277009338896 311635506258 346261673620 415514008344 467453259387 519392510430 554018677792 623271012516 692523347240 779088765645 831028016688 934906518774 1038785020860 1108037355584 1246542025032 1385046694480 1558177531290 1662056033376 1869813037548 2077570041720 2337266296935 2493084050064 2770093388960 3116355062580 3324112066752 3739626075096 4155140083440 4674532593870 4986168100128 5540186777920 6232710125160 7479252150192 8310280166880 9349065187740 9972336200256 12465420250320 14958504300384 16620560333760 18698130375480 24930840500640 29917008600768 37396260750960 49861681001280 74792521501920 149585043003840