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131344011411400 = 23522328553045959
BaseRepresentation
bin11101110111010011101001…
…001001001011111111001000
3122020001100211222121002110001
4131313103221021023333020
5114203420013410131100
61143202334510532344
736444202021206004
oct3567235111137710
9566040758532401
10131344011411400
1138939756346197
12128934238070b4
1358398c181a698
142461126999704
15102b85c231d6a
hex7774e924bfc8

131344011411400 has 48 divisors (see below), whose sum is σ = 318651992913600. Its totient is φ = 50253360886080.

The previous prime is 131344011411367. The next prime is 131344011411419. The reversal of 131344011411400 is 4114110443131.

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, 14276518380 + ... + 14276527579.

It is an arithmetic number, because the mean of its divisors is an integer number (6638583185700).

Almost surely, 2131344011411400 is an apocalyptic number.

131344011411400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131344011411400 is an abundant number, since it is smaller than the sum of its proper divisors (187307981502200).

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

131344011411400 is a wasteful number, since it uses less digits than its factorization.

131344011411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28553045998 (or 28553045989 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 131344011411400 its reverse (4114110443131), we get a palindrome (135458121854531).

The spelling of 131344011411400 in words is "one hundred thirty-one trillion, three hundred forty-four billion, eleven million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 28553045959 57106091918 114212183836 142765229795 228424367672 285530459590 571060919180 656720057057 713826148975 1142121838360 1313440114114 1427652297950 2626880228228 2855304595900 3283600285285 5253760456456 5710609191800 6567200570570 13134401141140 16418001426425 26268802282280 32836002852850 65672005705700 131344011411400