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141218640 = 24345193137
BaseRepresentation
bin10000110101011…
…01001101010000
3100211201122120000
420122231031100
5242122444030
622002450000
73333224103
oct1032551520
9324648500
10141218640
1172794722
123b363900
1323345c34
1414a8073a
15c5e7860
hex86ad350

141218640 has 400 divisors, whose sum is σ = 547345920. Its totient is φ = 33592320.

The previous prime is 141218633. The next prime is 141218663. The reversal of 141218640 is 46812141.

It is a happy number.

141218640 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 18 + 640 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3816702 + ... + 3816738.

Almost surely, 2141218640 is an apocalyptic number.

141218640 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 141218640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273672960).

141218640 is an abundant number, since it is smaller than the sum of its proper divisors (406127280).

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

141218640 is a wasteful number, since it uses less digits than its factorization.

141218640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 141218640 is about 11883.5449256524. The cubic root of 141218640 is about 520.7516742519.

The spelling of 141218640 in words is "one hundred forty-one million, two hundred eighteen thousand, six hundred forty".