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214120040021412 = 22378928640989837
BaseRepresentation
bin110000101011110110110100…
…111011001011110110100100
31001002010200020202000220212220
4300223312310323023312210
5211031120320221141122
62035221215522512340
763046443125225160
oct6053666473136644
91032120222026786
10214120040021412
11622528875487a8
1220021a942056b0
1392625827a06a5
143ac3672855ca0
1519b4b486eb25c
hexc2bdb4ecbda4

214120040021412 has 48 divisors (see below), whose sum is σ = 577402355134080. Its totient is φ = 60489770533632.

The previous prime is 214120040021401. The next prime is 214120040021441.

It is a happy number.

214120040021412 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, 14320487443 + ... + 14320502394.

It is an arithmetic number, because the mean of its divisors is an integer number (12029215731960).

Almost surely, 2214120040021412 is an apocalyptic number.

It is an amenable number.

214120040021412 is an abundant number, since it is smaller than the sum of its proper divisors (363282315112668).

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

214120040021412 is a wasteful number, since it uses less digits than its factorization.

214120040021412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28640989940 (or 28640989938 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 214120040021412 in words is "two hundred fourteen trillion, one hundred twenty billion, forty million, twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1246 1869 2492 3738 7476 28640989837 57281979674 85922969511 114563959348 171845939022 200486928859 343691878044 400973857718 601460786577 801947715436 1202921573154 2405843146308 2549048095493 5098096190986 7647144286479 10196192381972 15294288572958 17843336668451 30588577145916 35686673336902 53530010005353 71373346673804 107060020010706 214120040021412