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214142774202 = 232723761971109
BaseRepresentation
bin1100011101101111100…
…1110110101110111010
3202110201222102001110100
43013123321312232322
512002031022233302
6242213102500230
721320441355600
oct3073371665672
9673658361410
10214142774202
11828aa016845
1235603b94676
131726939a016
14a516521870
155884daad1c
hex31dbe76bba

214142774202 has 288 divisors, whose sum is σ = 569723066640. Its totient is φ = 57898229760.

The previous prime is 214142774179. The next prime is 214142774227. The reversal of 214142774202 is 202477241412.

214142774202 is a `hidden beast` number, since 2 + 141 + 427 + 74 + 20 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26072237961 + 188070536241 = 161469^2 + 433671^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 193094824 + ... + 193095932.

Almost surely, 2214142774202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214142774202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284861533320).

214142774202 is an abundant number, since it is smaller than the sum of its proper divisors (355580292438).

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

214142774202 is a wasteful number, since it uses less digits than its factorization.

214142774202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 214142774202 in words is "two hundred fourteen billion, one hundred forty-two million, seven hundred seventy-four thousand, two hundred two".