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23422410240400 = 245273802137337
BaseRepresentation
bin1010101001101011101000…
…11100010011000110010000
310001221011100001010022121101
411110311310130103012100
511032223044010143100
6121452035015034144
74635133106050603
oct524656434230620
9101834301108541
1023422410240400
11751042aa61446
12276350596b954
13100b95428c642
145ad91776633a
152a940d63986a
hex154d74713190

23422410240400 has 60 divisors (see below), whose sum is σ = 57043194654532. Its totient is φ = 9240622110720.

The previous prime is 23422410240391. The next prime is 23422410240401. The reversal of 23422410240400 is 404201422432.

It can be written as a sum of positive squares in 6 ways, for example, as 536825843856 + 22885584396544 = 732684^2 + 4783888^2 .

It is not an unprimeable number, because it can be changed into a prime (23422410240401) 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, 401039469 + ... + 401097868.

Almost surely, 223422410240400 is an apocalyptic number.

23422410240400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23422410240400 is an abundant number, since it is smaller than the sum of its proper divisors (33620784414132).

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

23422410240400 is a wasteful number, since it uses less digits than its factorization.

23422410240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802137428 (or 802137417 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 23422410240400 its reverse (404201422432), we get a palindrome (23826611662832).

The spelling of 23422410240400 in words is "twenty-three trillion, four hundred twenty-two billion, four hundred ten million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 292 365 400 584 730 1168 1460 1825 2920 3650 5840 7300 14600 29200 802137337 1604274674 3208549348 4010686685 6417098696 8021373370 12834197392 16042746740 20053433425 32085493480 40106866850 58556025601 64170986960 80213733700 117112051202 160427467400 234224102404 292780128005 320854934800 468448204808 585560256010 936896409616 1171120512020 1463900640025 2342241024040 2927801280050 4684482048080 5855602560100 11711205120200 23422410240400