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119341890400 = 255217293143227
BaseRepresentation
bin110111100100101010…
…1001011101101100000
3102102001010211011211211
41233021111023231200
53423403010443100
6130454102515504
711423255221345
oct1571125135540
9372033734754
10119341890400
1146681427697
121b167435b94
13b33ba540c5
145ac1b947cc
15318730a1ba
hex1bc954bb60

119341890400 has 576 divisors, whose sum is σ = 338558330880. Its totient is φ = 40823193600.

The previous prime is 119341890361. The next prime is 119341890427. The reversal of 119341890400 is 4098143911.

It is a super-2 number, since 2×1193418904002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 525735087 + ... + 525735313.

It is an arithmetic number, because the mean of its divisors is an integer number (587774880).

Almost surely, 2119341890400 is an apocalyptic number.

119341890400 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 119341890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169279165440).

119341890400 is an abundant number, since it is smaller than the sum of its proper divisors (219216440480).

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

119341890400 is a wasteful number, since it uses less digits than its factorization.

119341890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 119341890400 in words is "one hundred nineteen billion, three hundred forty-one million, eight hundred ninety thousand, four hundred".