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432144243132340 = 225175232430234187
BaseRepresentation
bin110001001000010000110110…
…0000110101000011110110100
32002200002120211022201001122211
41202100201230012220132310
5423120222402220213330
64131032154042103204
7160011251125252264
oct14220415406503664
92080076738631584
10432144243132340
111157703872a8812
12405745487aab04
1315719047bb153b
14789dc704357a4
1534e60e43a5d2a
hex189086c1a87b4

432144243132340 has 48 divisors (see below), whose sum is σ = 962722692171072. Its totient is φ = 162378527371776.

The previous prime is 432144243132319. The next prime is 432144243132341. The reversal of 432144243132340 is 43231342441234.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 432144243132293 and 432144243132302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432144243132341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1214939274 + ... + 1215294913.

It is an arithmetic number, because the mean of its divisors is an integer number (20056722753564).

Almost surely, 2432144243132340 is an apocalyptic number.

It is an amenable number.

432144243132340 is an abundant number, since it is smaller than the sum of its proper divisors (530578449038732).

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

432144243132340 is a wasteful number, since it uses less digits than its factorization.

432144243132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430234736 (or 2430234734 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 432144243132340 its reverse (43231342441234), we get a palindrome (475375585573574).

The spelling of 432144243132340 in words is "four hundred thirty-two trillion, one hundred forty-four billion, two hundred forty-three million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 523 1046 2092 2615 5230 8891 10460 17782 35564 44455 88910 177820 2430234187 4860468374 9720936748 12151170935 24302341870 41313981179 48604683740 82627962358 165255924716 206569905895 413139811790 826279623580 1271012479801 2542024959602 5084049919204 6355062399005 12710124798010 21607212156617 25420249596020 43214424313234 86428848626468 108036060783085 216072121566170 432144243132340