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214441101011412 = 22321117103309262097
BaseRepresentation
bin110000110000100001110101…
…101001101010100111010100
31001010021100222000221002112200
4300300201311221222213110
5211101400333324331122
62040024514250044500
763111600250504662
oct6060416551524724
91033240860832480
10214441101011412
1162366a62064560
1220074156a19730
13928692aa49852
143ad500cb45c32
1519bd189d535ac
hexc30875a6a9d4

214441101011412 has 144 divisors (see below), whose sum is σ = 632201003021952. Its totient is φ = 60565888880640.

The previous prime is 214441101011393. The next prime is 214441101011519. The reversal of 214441101011412 is 214110101144412.

It is a happy number.

214441101011412 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 411 + 0 + 101 + 141 + 2 = 666.

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, 153937653 + ... + 155324444.

It is an arithmetic number, because the mean of its divisors is an integer number (4390284743208).

Almost surely, 2214441101011412 is an apocalyptic number.

214441101011412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214441101011412 is an abundant number, since it is smaller than the sum of its proper divisors (417759902010540).

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

214441101011412 is a wasteful number, since it uses less digits than its factorization.

214441101011412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309262238 (or 309262233 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 214441101011412 its reverse (214110101144412), we get a palindrome (428551202155824).

The spelling of 214441101011412 in words is "two hundred fourteen trillion, four hundred forty-one billion, one hundred one million, eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 103 132 153 187 198 204 206 306 309 374 396 412 561 612 618 748 927 1122 1133 1236 1683 1751 1854 2244 2266 3366 3399 3502 3708 4532 5253 6732 6798 7004 10197 10506 13596 15759 19261 20394 21012 31518 38522 40788 57783 63036 77044 115566 173349 231132 346698 693396 309262097 618524194 927786291 1237048388 1855572582 2783358873 3401883067 3711145164 5257455649 5566717746 6803766134 10205649201 10514911298 11133435492 13607532268 15772366947 20411298402 21029822596 30616947603 31544733894 31853995991 40822596804 47317100841 57832012139 61233895206 63089467788 63707991982 94634201682 95561987973 115664024278 122467790412 127415983964 173496036417 189268403364 191123975946 231328048556 286685963919 346992072834 350393955901 382247951892 520488109251 541517931847 573371927838 693984145668 700787911802 1040976218502 1051181867703 1083035863694 1146743855676 1401575823604 1624553795541 2081952437004 2102363735406 2166071727388 3153545603109 3249107591082 4204727470812 4873661386623 5956697250317 6307091206218 6498215182164 9747322773246 11913394500634 12614182412436 17870091750951 19494645546492 23826789001268 35740183501902 53610275252853 71480367003804 107220550505706 214441101011412