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242304004043420 = 2251123181126441837
BaseRepresentation
bin110111000101111111001100…
…000101101011001010011100
31011202221000222122122102120112
4313011333030011223022130
5223224402100013342140
62215200531152305152
7102015613046536034
oct6705771405531234
91152830878572515
10242304004043420
11702296074805a0
12232141808421b8
13a528228625567
1443b980d7b88c4
151d02d3ac1ac65
hexdc5fcc16b29c

242304004043420 has 96 divisors (see below), whose sum is σ = 579550936075776. Its totient is φ = 84233112761600.

The previous prime is 242304004043411. The next prime is 242304004043459. The reversal of 242304004043420 is 24340400403242.

It is a super-2 number, since 2×2423040040434202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4057259 + ... + 22384578.

It is an arithmetic number, because the mean of its divisors is an integer number (6036988917456).

Almost surely, 2242304004043420 is an apocalyptic number.

242304004043420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242304004043420 is an abundant number, since it is smaller than the sum of its proper divisors (337246932032356).

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

242304004043420 is a wasteful number, since it uses less digits than its factorization.

242304004043420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26443691 (or 26443689 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 242304004043420 its reverse (24340400403242), we get a palindrome (266644404446662).

The spelling of 242304004043420 in words is "two hundred forty-two trillion, three hundred four billion, four million, forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 1811 2530 3622 5060 7244 9055 18110 19921 36220 39842 41653 79684 83306 99605 166612 199210 208265 398420 416530 458183 833060 916366 1832732 2290915 4581830 9163660 26441837 52883674 105767348 132209185 264418370 290860207 528836740 581720414 608162251 1163440828 1216324502 1454301035 2432649004 2908602070 3040811255 5817204140 6081622510 6689784761 12163245020 13379569522 26759139044 33448923805 47886166807 66897847610 95772333614 133795695220 191544667228 239430834035 478861668070 526747834877 957723336140 1053495669754 1101381836561 2106991339508 2202763673122 2633739174385 4405527346244 5267478348770 5506909182805 10534956697540 11013818365610 12115200202171 22027636731220 24230400404342 48460800808684 60576001010855 121152002021710 242304004043420