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214410121014412 = 225389112910065271
BaseRepresentation
bin110000110000000100111111…
…000110010110110010001100
31001010011101222222121012000101
4300300010333012112302030
5211100343411434430122
62040002352205140444
763106422451046011
oct6060047706266214
91033141888535011
10214410121014412
116235490471a254
122006a14b85a724
139283a3162c18b
143ad37104b9708
1519bc47519a027
hexc3013f196c8c

214410121014412 has 48 divisors (see below), whose sum is σ = 386935225387200. Its totient is φ = 103908371973120.

The previous prime is 214410121014317. The next prime is 214410121014431.

It is a happy number.

214410121014412 is nontrivially palindromic in base 10.

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, 16269337 + ... + 26334607.

It is an arithmetic number, because the mean of its divisors is an integer number (8061150528900).

Almost surely, 2214410121014412 is an apocalyptic number.

It is an amenable number.

214410121014412 is a deficient number, since it is larger than the sum of its proper divisors (172525104372788).

214410121014412 is a wasteful number, since it uses less digits than its factorization.

214410121014412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10066546 (or 10066544 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The spelling of 214410121014412 in words is "two hundred fourteen trillion, four hundred ten billion, one hundred twenty-one million, fourteen thousand, four hundred twelve".

Divisors: 1 2 4 53 89 106 178 212 356 1129 2258 4516 4717 9434 18868 59837 100481 119674 200962 239348 401924 5325493 10065271 10650986 20130542 21301972 40261084 533459363 895809119 1066918726 1791618238 2133837452 3583236476 11363690959 22727381918 45454763836 47477883307 94955766614 189911533228 602275620827 1011368495351 1204551241654 2022736990702 2409102483308 4045473981404 53602530253603 107205060507206 214410121014412