Search a number
-
+
23054513314420 = 22576110321261563
BaseRepresentation
bin1010011110111110011000…
…00100111001101001110100
310000121222201200011002012001
411033133030010321221310
511010211120402030140
6121011032555105044
74566430221554560
oct517371404715164
9100558650132161
1023054513314420
117389400810785
122704151a42184
13cb305393c4b3
14599bb70586a0
1529ea7a2dce9a
hex14f7cc139a74

23054513314420 has 96 divisors (see below), whose sum is σ = 56243558681856. Its totient is φ = 7774041139200.

The previous prime is 23054513314387. The next prime is 23054513314429. The reversal of 23054513314420 is 2441331545032.

It is a self number, because there is not a number n which added to its sum of digits gives 23054513314420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23054513314429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88010559 + ... + 88272121.

It is an arithmetic number, because the mean of its divisors is an integer number (585870402936).

Almost surely, 223054513314420 is an apocalyptic number.

23054513314420 is a gapful number since it is divisible by the number (20) 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 23054513314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28121779340928).

23054513314420 is an abundant number, since it is smaller than the sum of its proper divisors (33189045367436).

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

23054513314420 is a wasteful number, since it uses less digits than its factorization.

23054513314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271961 (or 271959 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 23054513314420 its reverse (2441331545032), we get a palindrome (25495844859452).

The spelling of 23054513314420 in words is "twenty-three trillion, fifty-four billion, five hundred thirteen million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 4270 8540 10321 20642 41284 51605 72247 103210 144494 206420 261563 288988 361235 523126 629581 722470 1046252 1259162 1307815 1444940 1830941 2518324 2615630 3147905 3661882 4407067 5231260 6295810 7323764 8814134 9154705 12591620 15955343 17628268 18309410 22035335 31910686 36618820 44070670 63821372 79776715 88141340 111687401 159553430 223374802 319106860 446749604 558437005 1116874010 2233748020 2699591723 5399183446 10798366892 13497958615 18897142061 26995917230 37794284122 53991834460 75588568244 94485710305 164675095103 188971420610 329350190206 377942841220 658700380412 823375475515 1152725665721 1646750951030 2305451331442 3293501902060 4610902662884 5763628328605 11527256657210 23054513314420