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141157800 = 233252717659
BaseRepresentation
bin10000110100111…
…10010110101000
3100211121120002200
420122132112220
5242114022200
622001300200
73332551530
oct1032362650
9324546080
10141157800
1172752a43
123b334660
1323324334
1414a664c0
15c5d4800
hex869e5a8

141157800 has 288 divisors, whose sum is σ = 574516800. Its totient is φ = 30320640.

The previous prime is 141157771. The next prime is 141157823. The reversal of 141157800 is 8751141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 213871 + ... + 214529.

It is an arithmetic number, because the mean of its divisors is an integer number (1994850).

Almost surely, 2141157800 is an apocalyptic number.

141157800 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 141157800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287258400).

141157800 is an abundant number, since it is smaller than the sum of its proper divisors (433359000).

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

141157800 is a wasteful number, since it uses less digits than its factorization.

141157800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 141157800 is about 11880.9848076664. The cubic root of 141157800 is about 520.6768798698.

The spelling of 141157800 in words is "one hundred forty-one million, one hundred fifty-seven thousand, eight hundred".