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114432121300 = 225271011618559
BaseRepresentation
bin110101010010010101…
…1111001100111010100
3101221100222020001210211
41222210223321213110
53333324110340200
6124322553255204
711160506660620
oct1524453714724
9357328201724
10114432121300
1144591a49482
121a217104504
13aa387c85a3
145777aa0180
152e9b278aba
hex1aa4af99d4

114432121300 has 72 divisors (see below), whose sum is σ = 286601656320. Its totient is φ = 38845392000.

The previous prime is 114432121277. The next prime is 114432121333. The reversal of 114432121300 is 3121234411.

114432121300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 738580 + ... + 879979.

It is an arithmetic number, because the mean of its divisors is an integer number (3980578560).

Almost surely, 2114432121300 is an apocalyptic number.

114432121300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114432121300 is an abundant number, since it is smaller than the sum of its proper divisors (172169535020).

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

114432121300 is a wasteful number, since it uses less digits than its factorization.

114432121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618681 (or 1618674 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 114432121300 its reverse (3121234411), we get a palindrome (117553355711).

The spelling of 114432121300 in words is "one hundred fourteen billion, four hundred thirty-two million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 2020 2525 2828 3535 5050 7070 10100 14140 17675 35350 70700 1618559 3237118 6474236 8092795 11329913 16185590 22659826 32371180 40463975 45319652 56649565 80927950 113299130 161855900 163474459 226598260 283247825 326948918 566495650 653897836 817372295 1132991300 1144321213 1634744590 2288642426 3269489180 4086861475 4577284852 5721606065 8173722950 11443212130 16347445900 22886424260 28608030325 57216060650 114432121300