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114223412400 = 2435295186177
BaseRepresentation
bin110101001100000111…
…1101111010010110000
3101220211102111120000120
41222120033233102300
53332412143144100
6124250140050240
711152363662066
oct1523017572260
9356742446016
10114223412400
1144495158389
121a179233980
13aa044b22b6
145758092036
152e87c9e0a0
hex1a983ef4b0

114223412400 has 60 divisors (see below), whose sum is σ = 365895668232. Its totient is φ = 30459576320.

The previous prime is 114223412371. The next prime is 114223412477. The reversal of 114223412400 is 4214322411.

It is a tau number, because it is divible by the number of its divisors (60).

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

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 11 ways as a sum of consecutive naturals, for example, 47591889 + ... + 47594288.

Almost surely, 2114223412400 is an apocalyptic number.

114223412400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114223412400 is an abundant number, since it is smaller than the sum of its proper divisors (251672255832).

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

114223412400 is a wasteful number, since it uses less digits than its factorization.

114223412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95186198 (or 95186187 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 114223412400 its reverse (4214322411), we get a palindrome (118437734811).

The spelling of 114223412400 in words is "one hundred fourteen billion, two hundred twenty-three million, four hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 95186177 190372354 285558531 380744708 475930885 571117062 761489416 951861770 1142234124 1427792655 1522978832 1903723540 2284468248 2379654425 2855585310 3807447080 4568936496 4759308850 5711170620 7138963275 7614894160 9518617700 11422341240 14277926550 19037235400 22844682480 28555853100 38074470800 57111706200 114223412400