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20132434144 = 2517536111447
BaseRepresentation
bin10010101111111111…
…001001000011100000
31220222001201121202001
4102233333021003200
5312212400343034
613125415533344
71311620603164
oct225777110340
956861647661
1020132434144
1185a1263829
123a9a38a254
131b8ac66334
14d8db1aca4
157cc6caa14
hex4affc90e0

20132434144 has 96 divisors (see below), whose sum is σ = 43463843136. Its totient is φ = 9142149120.

The previous prime is 20132434061. The next prime is 20132434163. The reversal of 20132434144 is 44143423102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1753029 + ... + 1764475.

It is an arithmetic number, because the mean of its divisors is an integer number (452748366).

Almost surely, 220132434144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20132434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21731921568).

20132434144 is an abundant number, since it is smaller than the sum of its proper divisors (23331408992).

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

20132434144 is a wasteful number, since it uses less digits than its factorization.

20132434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11588 (or 11580 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 20132434144 its reverse (44143423102), we get a palindrome (64275857246).

It can be divided in two parts, 20132 and 434144, that added together give a square (454276 = 6742).

The spelling of 20132434144 in words is "twenty billion, one hundred thirty-two million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 53 61 68 106 122 136 212 244 272 424 488 544 848 901 976 1037 1696 1802 1952 2074 3233 3604 4148 6466 7208 8296 11447 12932 14416 16592 22894 25864 28832 33184 45788 51728 54961 91576 103456 109922 183152 194599 219844 366304 389198 439688 606691 698267 778396 879376 1213382 1396534 1556792 1758752 2426764 2793068 3113584 4853528 5586136 6227168 9707056 10313747 11172272 11870539 19414112 20627494 22344544 23741078 37008151 41254988 47482156 74016302 82509976 94964312 148032604 165019952 189928624 296065208 330039904 379857248 592130416 629138567 1184260832 1258277134 2516554268 5033108536 10066217072 20132434144