Search a number
-
+
23144154322400 = 255283348556541
BaseRepresentation
bin1010100001100101010110…
…00110001101010111100000
310000221120002220112002211122
411100302223012031113200
511013143212001304100
6121120135553031412
74606052501553266
oct520625306152740
9100846086462748
1023144154322400
117413420825851
1227195aa555568
13cbb63b27a757
145a027c3c8436
152a2074da6985
hex150cab18d5e0

23144154322400 has 72 divisors (see below), whose sum is σ = 57181397828184. Its totient is φ = 9146123609600.

The previous prime is 23144154322339. The next prime is 23144154322403. The reversal of 23144154322400 is 422345144132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23144154322403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174211871 + ... + 174344670.

It is an arithmetic number, because the mean of its divisors is an integer number (794186080947).

Almost surely, 223144154322400 is an apocalyptic number.

23144154322400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23144154322400 is an abundant number, since it is smaller than the sum of its proper divisors (34037243505784).

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

23144154322400 is a wasteful number, since it uses less digits than its factorization.

23144154322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348556644 (or 348556631 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 23144154322400 its reverse (422345144132), we get a palindrome (23566499466532).

The spelling of 23144154322400 in words is "twenty-three trillion, one hundred forty-four billion, one hundred fifty-four million, three hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 160 166 200 332 400 415 664 800 830 1328 1660 2075 2656 3320 4150 6640 8300 13280 16600 33200 66400 348556541 697113082 1394226164 1742782705 2788452328 3485565410 5576904656 6971130820 8713913525 11153809312 13942261640 17427827050 27884523280 28930192903 34855654100 55769046560 57860385806 69711308200 115720771612 139422616400 144650964515 231441543224 278845232800 289301929030 462883086448 578603858060 723254822575 925766172896 1157207716120 1446509645150 2314415432240 2893019290300 4628830864480 5786038580600 11572077161200 23144154322400