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114402354000 = 24353112157579
BaseRepresentation
bin110101010001011101…
…0010110001101010000
3101221021220012201202020
41222202322112031100
53333244000312000
6124320011251440
711156665651524
oct1524272261520
9357256181666
10114402354000
1144577167900
121a209149b80
13aa325a54bc
145773b51d84
152e98848ba0
hex1aa2e96350

114402354000 has 240 divisors, whose sum is σ = 405414260160. Its totient is φ = 27733728000.

The previous prime is 114402353987. The next prime is 114402354019. The reversal of 114402354000 is 453204411.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 647211 + ... + 804789.

It is an arithmetic number, because the mean of its divisors is an integer number (1689226084).

Almost surely, 2114402354000 is an apocalyptic number.

114402354000 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 114402354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202707130080).

114402354000 is an abundant number, since it is smaller than the sum of its proper divisors (291011906160).

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

114402354000 is a wasteful number, since it uses less digits than its factorization.

114402354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157627 (or 157600 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 114402354000 its reverse (453204411), we get a palindrome (114855558411).

The spelling of 114402354000 in words is "one hundred fourteen billion, four hundred two million, three hundred fifty-four thousand".