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141114960 = 2435571761
BaseRepresentation
bin10000110100100…
…11111001010000
3100211112101100000
420122103321100
5242111134320
622000330000
73332312610
oct1032237120
9324471300
10141114960
1172723838
123b313900
132330a99c
1414a54a40
15c5c6c90
hex8693e50

141114960 has 480 divisors, whose sum is σ = 604461312. Its totient is φ = 29859840.

The previous prime is 141114937. The next prime is 141114973. The reversal of 141114960 is 69411141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2313330 + ... + 2313390.

Almost surely, 2141114960 is an apocalyptic number.

141114960 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 141114960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302230656).

141114960 is an abundant number, since it is smaller than the sum of its proper divisors (463346352).

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

141114960 is a wasteful number, since it uses less digits than its factorization.

141114960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 141114960 is about 11879.1817900056. The cubic root of 141114960 is about 520.6242011078.

The spelling of 141114960 in words is "one hundred forty-one million, one hundred fourteen thousand, nine hundred sixty".