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140224434400 = 2552283361871
BaseRepresentation
bin1000001010011000000…
…1110001000011100000
3111101221111000022212101
42002212001301003200
54244134423400100
6144230200140144
713062615012001
oct2024601610340
9441844008771
10140224434400
1154518046016
1223214a67654
13102b9222c0b
146b033711a8
1539aa7a586a
hex20a60710e0

140224434400 has 72 divisors (see below), whose sum is σ = 342449269344. Its totient is φ = 56069068800.

The previous prime is 140224434373. The next prime is 140224434403. The reversal of 140224434400 is 4434422041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140224434403) 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, 2235465 + ... + 2297335.

It is an arithmetic number, because the mean of its divisors is an integer number (4756239852).

Almost surely, 2140224434400 is an apocalyptic number.

140224434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140224434400 is an abundant number, since it is smaller than the sum of its proper divisors (202224834944).

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

140224434400 is a wasteful number, since it uses less digits than its factorization.

140224434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64724 (or 64711 counting only the distinct ones).

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

Adding to 140224434400 its reverse (4434422041), we get a palindrome (144658856441).

The spelling of 140224434400 in words is "one hundred forty billion, two hundred twenty-four million, four hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2833 5666 11332 14165 22664 28330 45328 56660 61871 70825 90656 113320 123742 141650 226640 247484 283300 309355 453280 494968 566600 618710 989936 1133200 1237420 1546775 1979872 2266400 2474840 3093550 4949680 6187100 9899360 12374200 24748400 49496800 175280543 350561086 701122172 876402715 1402244344 1752805430 2804488688 3505610860 4382013575 5608977376 7011221720 8764027150 14022443440 17528054300 28044886880 35056108600 70112217200 140224434400