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4080147438114 = 2361119231127179
BaseRepresentation
bin111011010111111011101…
…111010001101000100010
3112110001120111020102000000
4323113323233101220202
51013322120221004424
612402221023440430
7600531566664336
oct73277357215042
915401514212000
104080147438114
111333420950130
1255a915156116
132379aa643327
141016a18d77c6
157120239e3c9
hex3b5fbbd1a22

4080147438114 has 672 divisors, whose sum is σ = 11052998000640. Its totient is φ = 1118340820800.

The previous prime is 4080147438091. The next prime is 4080147438167. The reversal of 4080147438114 is 4118347410804.

4080147438114 is a `hidden beast` number, since 40 + 80 + 147 + 4 + 381 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4080147438114.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 22794119677 + ... + 22794119855.

Almost surely, 24080147438114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4080147438114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5526499000320).

4080147438114 is an abundant number, since it is smaller than the sum of its proper divisors (6972850562526).

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

4080147438114 is a wasteful number, since it uses less digits than its factorization.

4080147438114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 4080147438114 in words is "four trillion, eighty billion, one hundred forty-seven million, four hundred thirty-eight thousand, one hundred fourteen".