Search a number
-
+
23424011430 = 23537173223547
BaseRepresentation
bin10101110100001011…
…100000110010100110
32020110110102001220220
4111310023200302212
5340433021331210
614432201505210
71456316545341
oct256413406246
966413361826
1023424011430
119a30275536
1246587a2206
132293b899c1
1411c2d43458
15921667c70
hex5742e0ca6

23424011430 has 128 divisors (see below), whose sum is σ = 58437808128. Its totient is φ = 6004357632.

The previous prime is 23424011411. The next prime is 23424011431. The reversal of 23424011430 is 3411042432.

It is a super-2 number, since 2×234240114302 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23424011430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23424011431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42822417 + ... + 42822963.

It is an arithmetic number, because the mean of its divisors is an integer number (456545376).

Almost surely, 223424011430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23424011430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29218904064).

23424011430 is an abundant number, since it is smaller than the sum of its proper divisors (35013796698).

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

23424011430 is a wasteful number, since it uses less digits than its factorization.

23424011430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23424011430 its reverse (3411042432), we get a palindrome (26835053862).

The spelling of 23424011430 in words is "twenty-three billion, four hundred twenty-four million, eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 173 185 222 223 346 370 446 519 547 555 669 865 1038 1094 1110 1115 1338 1641 1730 2230 2595 2735 3282 3345 5190 5470 6401 6690 8205 8251 12802 16410 16502 19203 20239 24753 32005 38406 38579 40478 41255 49506 60717 64010 77158 82510 94631 96015 101195 115737 121434 121981 123765 189262 192030 192895 202390 231474 243962 247530 283893 303585 365943 385790 473155 567786 578685 607170 609905 731886 946310 1157370 1219810 1419465 1427423 1829715 2838930 2854846 3501347 3659430 4282269 4513297 7002694 7137115 8564538 9026594 10504041 13539891 14274230 17506735 21008082 21102713 21411345 22566485 27079782 35013470 42205426 42822690 45132970 52520205 63308139 67699455 105040410 105513565 126616278 135398910 211027130 316540695 633081390 780800381 1561600762 2342401143 3904001905 4684802286 7808003810 11712005715 23424011430