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141440232400 = 24521572252233
BaseRepresentation
bin1000001110111001111…
…1101010101111010000
3111112002012202021011221
42003232133222233100
54304132144414100
6144550551014424
713135010065405
oct2035637525720
9445065667157
10141440232400
1154a91362055
12234b406a414
131045108900c
146bbaa142ac
153a2c3b201a
hex20ee7eabd0

141440232400 has 60 divisors (see below), whose sum is σ = 341974706092. Its totient is φ = 56215710720.

The previous prime is 141440232377. The next prime is 141440232419. The reversal of 141440232400 is 4232044141.

It can be written as a sum of positive squares in 6 ways, for example, as 34094883904 + 107345348496 = 184648^2 + 327636^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1063317 + ... + 1188916.

Almost surely, 2141440232400 is an apocalyptic number.

141440232400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141440232400 is an abundant number, since it is smaller than the sum of its proper divisors (200534473692).

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

141440232400 is a wasteful number, since it uses less digits than its factorization.

141440232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252408 (or 2252397 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 141440232400 its reverse (4232044141), we get a palindrome (145672276541).

The spelling of 141440232400 in words is "one hundred forty-one billion, four hundred forty million, two hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 157 200 314 400 628 785 1256 1570 2512 3140 3925 6280 7850 12560 15700 31400 62800 2252233 4504466 9008932 11261165 18017864 22522330 36035728 45044660 56305825 90089320 112611650 180178640 225223300 353600581 450446600 707201162 900893200 1414402324 1768002905 2828804648 3536005810 5657609296 7072011620 8840014525 14144023240 17680029050 28288046480 35360058100 70720116200 141440232400