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141476096 = 281493709
BaseRepresentation
bin10000110111011…
…00000100000000
3100212012201201102
420123230010000
5242204213341
622012153532
73335345516
oct1033540400
9325181642
10141476096
11729500a3
123b4688a8
1323406188
1414b0a4b6
15c648c9b
hex86ec100

141476096 has 36 divisors (see below), whose sum is σ = 284371500. Its totient is φ = 70244352.

The previous prime is 141476087. The next prime is 141476129. The reversal of 141476096 is 690674141.

It is a happy number.

141476096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26214400 + 115261696 = 5120^2 + 10736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36290 + ... + 39998.

Almost surely, 2141476096 is an apocalyptic number.

141476096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141476096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142185750).

141476096 is an abundant number, since it is smaller than the sum of its proper divisors (142895404).

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

141476096 is an equidigital number, since it uses as much as digits as its factorization.

141476096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 141476096 is about 11894.3724508694. The cubic root of 141476096 is about 521.0679432908.

The spelling of 141476096 in words is "one hundred forty-one million, four hundred seventy-six thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 596 1192 2384 3709 4768 7418 9536 14836 19072 29672 38144 59344 118688 237376 474752 552641 949504 1105282 2210564 4421128 8842256 17684512 35369024 70738048 141476096