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214426054446016 = 2674149681234977
BaseRepresentation
bin110000110000010011110100…
…110011100100101111000000
31001010012221010102011101010211
4300300103310303210233000
5211101124024414233031
62040013545230003504
763110525344014250
oct6060236463445700
91033187112141124
10214426054446016
1162360640728246
1220071257946594
1392853a067880a
143ad43c267d960
1519bcaa8de1bb1
hexc304f4ce4bc0

214426054446016 has 112 divisors (see below), whose sum is σ = 498160480773312. Its totient is φ = 89653306982400.

The previous prime is 214426054445983. The next prime is 214426054446049. The reversal of 214426054446016 is 610644450624412.

It is an interprime number because it is at equal distance from previous prime (214426054445983) and next prime (214426054446049).

It is a tau number, because it is divible by the number of its divisors (112).

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, 912423120 + ... + 912658096.

It is an arithmetic number, because the mean of its divisors is an integer number (4447861435476).

Almost surely, 2214426054446016 is an apocalyptic number.

It is an amenable number.

214426054446016 is an abundant number, since it is smaller than the sum of its proper divisors (283734426327296).

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

214426054446016 is a wasteful number, since it uses less digits than its factorization.

214426054446016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284718 (or 284708 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 49.

The spelling of 214426054446016 in words is "two hundred fourteen trillion, four hundred twenty-six billion, fifty-four million, four hundred forty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1312 2296 2624 4592 9184 18368 49681 99362 198724 234977 347767 397448 469954 695534 794896 939908 1391068 1589792 1644839 1879816 2036921 2782136 3179584 3289678 3759632 4073842 5564272 6579356 7519264 8147684 9634057 11128544 13158712 14258447 15038528 16295368 19268114 22257088 26317424 28516894 32590736 38536228 52634848 57033788 65181472 67438399 77072456 105269696 114067576 130362944 134876798 154144912 228135152 269753596 308289824 456270304 539507192 616579648 912540608 1079014384 2158028768 4316057536 11673892337 23347784674 46695569348 81717246359 93391138696 163434492718 186782277392 326868985436 373564554784 478629585817 653737970872 747129109568 957259171634 1307475941744 1914518343268 2614951883488 3350407100719 3829036686536 5229903766976 6700814201438 7658073373072 13401628402876 15316146746144 26803256805752 30632293492288 53606513611504 107213027223008 214426054446016