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141834240 = 21136519
BaseRepresentation
bin10000111010000…
…11100000000000
3100212212221000000
420131003200000
5242302143430
622024000000
73341366622
oct1035034000
9325787000
10141834240
1173075189
123b600000
13235001b2
1414ba0c12
15c6b9e60
hex8743800

141834240 has 336 divisors, whose sum is σ = 537100200. Its totient is φ = 35831808.

The previous prime is 141834239. The next prime is 141834347. The reversal of 141834240 is 42438141.

141834240 is a `hidden beast` number, since 1 + 418 + 3 + 4 + 240 = 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 27 ways as a sum of consecutive naturals, for example, 7464951 + ... + 7464969.

Almost surely, 2141834240 is an apocalyptic number.

141834240 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 141834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268550100).

141834240 is an abundant number, since it is smaller than the sum of its proper divisors (395265960).

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

141834240 is an frugal number, since it uses more digits than its factorization.

141834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 141834240 is about 11909.4181218060. The cubic root of 141834240 is about 521.5072639278.

The spelling of 141834240 in words is "one hundred forty-one million, eight hundred thirty-four thousand, two hundred forty".