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13969481723136 = 283317118885159
BaseRepresentation
bin1100101101001000010111…
…1111101110110100000000
31211110110200012101212012000
43023102011333232310000
53312333444310120021
645413254042304000
72641155531313332
oct313220577566400
954413605355160
1013969481723136
1144a6473281575
1216974671b8000
137a44163a7a64
143641ab271452
151935a1a4ab26
hexcb485feed00

13969481723136 has 144 divisors (see below), whose sum is σ = 43740228067200. Its totient is φ = 4382582464512.

The previous prime is 13969481723123. The next prime is 13969481723159. The reversal of 13969481723136 is 63132718496931.

It is a happy number.

13969481723136 is a `hidden beast` number, since 1 + 3 + 96 + 9 + 481 + 7 + 2 + 31 + 36 = 666.

13969481723136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×139694817231362 (a number of 27 digits) contains 22 as substring.

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, 59325076 + ... + 59560083.

It is an arithmetic number, because the mean of its divisors is an integer number (303751583800).

Almost surely, 213969481723136 is an apocalyptic number.

13969481723136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13969481723136 is an abundant number, since it is smaller than the sum of its proper divisors (29770746344064).

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

13969481723136 is a wasteful number, since it uses less digits than its factorization.

13969481723136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118885201 (or 118885181 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 13969481723136 in words is "thirteen trillion, nine hundred sixty-nine billion, four hundred eighty-one million, seven hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 544 576 612 768 816 864 918 1088 1152 1224 1632 1728 1836 2176 2304 2448 3264 3456 3672 4352 4896 6528 6912 7344 9792 13056 14688 19584 29376 39168 58752 117504 118885159 237770318 356655477 475540636 713310954 951081272 1069966431 1426621908 1902162544 2021047703 2139932862 2853243816 3209899293 3804325088 4042095406 4279865724 5706487632 6063143109 6419798586 7608650176 8084190812 8559731448 11412975264 12126286218 12839597172 15217300352 16168381624 17119462896 18189429327 22825950528 24252572436 25679194344 30434600704 32336763248 34238925792 36378858654 45651901056 48505144872 51358388688 54568287981 64673526496 68477851584 72757717308 91303802112 97010289744 102716777376 109136575962 129347052992 136955703168 145515434616 194020579488 205433554752 218273151924 258694105984 273911406336 291030869232 388041158976 410867109504 436546303848 517388211968 582061738464 776082317952 821734219008 873092607696 1164123476928 1552164635904 1746185215392 2328246953856 3492370430784 4656493907712 6984740861568 13969481723136