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114150135400 = 23527211647973
BaseRepresentation
bin110101001001111100…
…0001101011001101000
3101220122022121200212121
41222103320031121220
53332234413313100
6124235001321024
711150514066400
oct1522370153150
9356568550777
10114150135400
1144457859284
121a158796174
13a9c2267022
14574c459800
152e8162751a
hex1a93e0d668

114150135400 has 72 divisors (see below), whose sum is σ = 308729550870. Its totient is φ = 39137185920.

The previous prime is 114150135391. The next prime is 114150135413. The reversal of 114150135400 is 4531051411.

It can be written as a sum of positive squares in 3 ways, for example, as 97040972196 + 17109163204 = 311514^2 + 130802^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5814187 + ... + 5833786.

Almost surely, 2114150135400 is an apocalyptic number.

114150135400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114150135400 is an abundant number, since it is smaller than the sum of its proper divisors (194579415470).

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

114150135400 is a wasteful number, since it uses less digits than its factorization.

114150135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11648003 (or 11647987 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 114150135400 its reverse (4531051411), we get a palindrome (118681186811).

The spelling of 114150135400 in words is "one hundred fourteen billion, one hundred fifty million, one hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 11647973 23295946 46591892 58239865 81535811 93183784 116479730 163071622 232959460 291199325 326143244 407679055 465918920 570750677 582398650 652286488 815358110 1141501354 1164797300 1630716220 2038395275 2283002708 2329594600 2853753385 3261432440 4076790550 4566005416 5707506770 8153581100 11415013540 14268766925 16307162200 22830027080 28537533850 57075067700 114150135400