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141378480 = 24335293761
BaseRepresentation
bin10000110110101…
…00001110110000
3100212000202211000
420123110032300
5242143102410
622010122000
73334461105
oct1033241660
9325022730
10141378480
1172893821
123b420300
13233a0909
1414ac2aac
15c629dc0
hex86d43b0

141378480 has 320 divisors, whose sum is σ = 525859200. Its totient is φ = 34836480.

The previous prime is 141378469. The next prime is 141378499. The reversal of 141378480 is 84873141.

141378480 is a `hidden beast` number, since 141 + 37 + 8 + 480 = 666.

It is a super-2 number, since 2×1413784802 = 39975749214220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2317650 + ... + 2317710.

It is an arithmetic number, because the mean of its divisors is an integer number (1643310).

Almost surely, 2141378480 is an apocalyptic number.

141378480 is a gapful number since it is divisible by the number (10) 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 141378480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262929600).

141378480 is an abundant number, since it is smaller than the sum of its proper divisors (384480720).

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

141378480 is a wasteful number, since it uses less digits than its factorization.

141378480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 141378480 is about 11890.2682896560. The cubic root of 141378480 is about 520.9480731671.

The spelling of 141378480 in words is "one hundred forty-one million, three hundred seventy-eight thousand, four hundred eighty".