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12314974336038 = 2341119477738813
BaseRepresentation
bin1011001100110100110110…
…1010111011010000100110
31121121022002201212012220000
42303031031222323100212
53103232031412223123
642105230543122130
72410504354465263
oct263151552732046
947538081765800
1012314974336038
113a18829a64430
12146a883ba3346
136b43b295005a
1430809578426a
1516551a024b43
hexb334dabb426

12314974336038 has 160 divisors (see below), whose sum is σ = 32361862832640. Its totient is φ = 3460177621440.

The previous prime is 12314974335997. The next prime is 12314974336127. The reversal of 12314974336038 is 83063347941321.

12314974336038 is a `hidden beast` number, since 1 + 2 + 3 + 149 + 7 + 433 + 60 + 3 + 8 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2278081 + ... + 5460732.

It is an arithmetic number, because the mean of its divisors is an integer number (202261642704).

Almost surely, 212314974336038 is an apocalyptic number.

12314974336038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12314974336038 is an abundant number, since it is smaller than the sum of its proper divisors (20046888496602).

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

12314974336038 is a wasteful number, since it uses less digits than its factorization.

12314974336038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7738904 (or 7738895 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 12314974336038 in words is "twelve trillion, three hundred fourteen billion, nine hundred seventy-four million, three hundred thirty-six thousand, thirty-eight".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 47 54 57 66 81 94 99 114 141 162 171 198 209 282 297 342 418 423 513 517 594 627 846 891 893 1026 1034 1254 1269 1539 1551 1782 1786 1881 2538 2679 3078 3102 3762 3807 4653 5358 5643 7614 8037 9306 9823 11286 13959 16074 16929 19646 24111 27918 29469 33858 41877 48222 58938 72333 83754 88407 144666 176814 265221 530442 795663 1591326 7738813 15477626 23216439 46432878 69649317 85126943 139298634 147037447 170253886 208947951 255380829 294074894 363724211 417895902 441112341 510761658 626843853 727448422 766142487 882224682 1091172633 1253687706 1323337023 1532284974 1617411917 2182345266 2298427461 2646674046 3234823834 3273517899 3970011069 4000966321 4596854922 4852235751 6547035798 6895282383 6910760009 7940022138 8001932642 9704471502 9820553697 11910033207 12002898963 13790564766 13821520018 14556707253 19641107394 20732280027 23820066414 24005797926 29113414506 29461661091 36008696889 41464560054 43670121759 58923322182 62196840081 72017393778 76018360099 87340243518 108026090667 124393680162 131010365277 152036720198 186590520243 216052181334 228055080297 262020730554 324078272001 373181040486 456110160594 559771560729 648156544002 684165240891 1119543121458 1368330481782 2052495722673 4104991445346 6157487168019 12314974336038