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23413412402304 = 2733713671205489
BaseRepresentation
bin1010101001011010111000…
…01000010001010010000000
310001220022002222002210011120
411110231130020101102000
511032101132033333204
6121443550112112240
74634364120512511
oct524553410212200
9101808088083146
1023413412402304
117507632a07511
122761814535680
13100ab4c0b83a2
145ad302754a08
152a90837386d9
hex154b5c211480

23413412402304 has 128 divisors (see below), whose sum is σ = 63919516003200. Its totient is φ = 7587977969664.

The previous prime is 23413412402293. The next prime is 23413412402333. The reversal of 23413412402304 is 40320421431432.

It is a tau number, because it is divible by the number of its divisors (128).

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, 18819592 + ... + 20025080.

It is an arithmetic number, because the mean of its divisors is an integer number (499371218775).

Almost surely, 223413412402304 is an apocalyptic number.

23413412402304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23413412402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31959758001600).

23413412402304 is an abundant number, since it is smaller than the sum of its proper divisors (40506103600896).

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

23413412402304 is a wasteful number, since it uses less digits than its factorization.

23413412402304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206910 (or 1206898 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 23413412402304 its reverse (40320421431432), we get a palindrome (63733833833736).

The spelling of 23413412402304 in words is "twenty-three trillion, four hundred thirteen billion, four hundred twelve million, four hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1367 1776 2368 2734 3552 4101 4736 5468 7104 8202 10936 14208 16404 21872 32808 43744 50579 65616 87488 101158 131232 151737 174976 202316 262464 303474 404632 524928 606948 809264 1205489 1213896 1618528 2410978 2427792 3237056 3616467 4821956 4855584 6474112 7232934 9643912 9711168 14465868 19287824 19422336 28931736 38575648 44603093 57863472 77151296 89206186 115726944 133809279 154302592 178412372 231453888 267618558 356824744 462907776 535237116 713649488 1070474232 1427298976 1647903463 2140948464 2854597952 3295806926 4281896928 4943710389 5709195904 6591613852 8563793856 9887420778 13183227704 17127587712 19774841556 26366455408 39549683112 52732910816 60972428131 79099366224 105465821632 121944856262 158198732448 182917284393 210931643264 243889712524 316397464896 365834568786 487779425048 632794929792 731669137572 975558850096 1463338275144 1951117700192 2926676550288 3902235400384 5853353100576 7804470800768 11706706201152 23413412402304