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2321410411424 = 251361427121419
BaseRepresentation
bin100001110001111110110…
…101111100101110100000
322012220222002020110201002
4201301332311330232200
5301013222031131144
64534235145331132
7326500466632106
oct41617665745640
98186862213632
102321410411424
11815560727085
12315aa3796aa8
1313aba6023280
14804dd339c76
15405ba15714e
hex21c7ed7cba0

2321410411424 has 96 divisors (see below), whose sum is σ = 5003927228160. Its totient is φ = 1053559987200.

The previous prime is 2321410411423. The next prime is 2321410411459. The reversal of 2321410411424 is 4241140141232.

It is not an unprimeable number, because it can be changed into a prime (2321410411423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108370187 + ... + 108391605.

It is an arithmetic number, because the mean of its divisors is an integer number (52124241960).

Almost surely, 22321410411424 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 2321410411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501963614080).

2321410411424 is an abundant number, since it is smaller than the sum of its proper divisors (2682516816736).

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

2321410411424 is a wasteful number, since it uses less digits than its factorization.

2321410411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25774 (or 25766 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 2321410411424 its reverse (4241140141232), we get a palindrome (6562550552656).

The spelling of 2321410411424 in words is "two trillion, three hundred twenty-one billion, four hundred ten million, four hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 416 488 793 976 1586 1952 3172 4271 6344 8542 12688 17084 21419 25376 34168 42838 55523 68336 85676 111046 136672 171352 222092 260531 278447 342704 444184 521062 556894 685408 888368 1042124 1113788 1306559 1776736 2084248 2227576 2613118 3386903 4168496 4455152 5226236 6773806 8336992 8910304 10452472 13547612 16985267 20904944 27095224 33970534 41809888 54190448 67941068 91480549 108380896 135882136 182961098 271764272 365922196 543528544 731844392 1189247137 1463688784 2378494274 2927377568 4756988548 5580313489 9513977096 11160626978 19027954192 22321253956 38055908384 44642507912 72544075357 89285015824 145088150714 178570031648 290176301428 580352602856 1160705205712 2321410411424