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141942240 = 253351129103
BaseRepresentation
bin10000111010111…
…01110111100000
3100220002102011000
420131131313200
5242314122430
622030152000
73342326526
oct1035356740
9326072130
10141942240
1173139340
123b652600
132353a3bb
1414bcc316
15c6dbe60
hex875dde0

141942240 has 384 divisors, whose sum is σ = 566092800. Its totient is φ = 32901120.

The previous prime is 141942233. The next prime is 141942253. The reversal of 141942240 is 42249141.

It is a happy number.

141942240 is a `hidden beast` number, since 1 + 419 + 4 + 2 + 240 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 1378029 + ... + 1378131.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2141942240 is an apocalyptic number.

141942240 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 141942240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

141942240 is an abundant number, since it is smaller than the sum of its proper divisors (424150560).

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

141942240 is a wasteful number, since it uses less digits than its factorization.

141942240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 141942240 is about 11913.9514855484. The cubic root of 141942240 is about 521.6395979699.

The spelling of 141942240 in words is "one hundred forty-one million, nine hundred forty-two thousand, two hundred forty".