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54014113451116 = 22713259857225751
BaseRepresentation
bin11000100100000001001000…
…00010111000110001101100
321002020200212102210120022201
430102000210002320301230
524034431401020413431
6310513424031351244
714243251040660110
oct1422004402706154
9232220772716281
1054014113451116
1116235290997445
126084369382524
13241a6804a0700
14d4a423113740
1563a06ebad461
hex3120240b8c6c

54014113451116 has 144 divisors (see below), whose sum is σ = 119099314414080. Its totient is φ = 20981443392000.

The previous prime is 54014113451099. The next prime is 54014113451143. The reversal of 54014113451116 is 61115431141045.

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, 239151241 + ... + 239376991.

It is an arithmetic number, because the mean of its divisors is an integer number (827078572320).

Almost surely, 254014113451116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54014113451116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59549657207040).

54014113451116 is an abundant number, since it is smaller than the sum of its proper divisors (65085200962964).

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

54014113451116 is a wasteful number, since it uses less digits than its factorization.

54014113451116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226704 (or 226689 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The spelling of 54014113451116 in words is "fifty-four trillion, fourteen billion, one hundred thirteen million, four hundred fifty-one thousand, one hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 52 59 91 118 169 182 236 338 364 413 676 767 826 857 1183 1534 1652 1714 2366 3068 3428 4732 5369 5999 9971 10738 11141 11998 19942 21476 22282 23996 39884 44564 50563 69797 77987 101126 139594 144833 155974 202252 225751 279188 289666 311948 353941 451502 579332 657319 707882 903004 1013831 1314638 1415764 1580257 2027662 2629276 2934763 3160514 4055324 4601233 5869526 6321028 8545147 9202466 11739052 13319309 17090294 18404932 20543341 26638618 34180588 38151919 41086682 53277236 59816029 76303838 82173364 93235163 119632058 152607676 173151017 186470326 193468607 239264116 267063433 346302034 372940652 386937214 534126866 692604068 773874428 1068253732 1212057119 1354280249 2250963221 2424114238 2515091891 2708560498 4501926442 4848228476 5030183782 5417120996 9003852884 10060367564 11414647813 15756742547 17605643237 22829295626 31513485094 32696194583 35211286474 45658591252 63026970188 65392389166 70422572948 79902534691 130784778332 148390421569 159805069382 228873362081 296780843138 319610138764 457746724162 593561686276 915493448324 1038732950983 1929075480397 2077465901966 3858150960794 4154931803932 7716301921588 13503528362779 27007056725558 54014113451116