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12940015284 = 22327194362851
BaseRepresentation
bin11000000110100100…
…01111011010110100
31020101210220212220100
430003102033122310
5203000120442114
65540005234100
7635444213040
oct140322173264
936353825810
1012940015284
115540335009
122611702930
1312b2b2b9a1
148aa7d3020
1550b053909
hex30348f6b4

12940015284 has 144 divisors (see below), whose sum is σ = 40265505280. Its totient is φ = 3421051200.

The previous prime is 12940015271. The next prime is 12940015301. The reversal of 12940015284 is 48251004921.

12940015284 is a `hidden beast` number, since 1 + 29 + 400 + 152 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174459 + ... + 237309.

Almost surely, 212940015284 is an apocalyptic number.

12940015284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12940015284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20132752640).

12940015284 is an abundant number, since it is smaller than the sum of its proper divisors (27325489996).

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

12940015284 is a wasteful number, since it uses less digits than its factorization.

12940015284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62930 (or 62925 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12940015284 in words is "twelve billion, nine hundred forty million, fifteen thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 43 57 63 76 84 86 114 126 129 133 171 172 228 252 258 266 301 342 387 399 516 532 602 684 774 798 817 903 1197 1204 1548 1596 1634 1806 2394 2451 2709 3268 3612 4788 4902 5418 5719 7353 9804 10836 11438 14706 17157 22876 29412 34314 51471 62851 68628 102942 125702 188553 205884 251404 377106 439957 565659 754212 879914 1131318 1194169 1319871 1759828 2262636 2388338 2639742 2702593 3582507 3959613 4776676 5279484 5405186 7165014 7919226 8107779 8359183 10747521 10810372 14330028 15838452 16215558 16718366 18918151 21495042 24323337 25077549 32431116 33436732 37836302 42990084 48646674 50155098 51349267 56754453 75232647 75672604 97293348 100310196 102698534 113508906 150465294 154047801 170263359 205397068 227017812 300930588 308095602 340526718 359444869 462143403 616191204 681053436 718889738 924286806 1078334607 1437779476 1848573612 2156669214 3235003821 4313338428 6470007642 12940015284