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140431320430320 = 24352812082314953
BaseRepresentation
bin11111111011100010110110…
…111110000011011011110000
3200102020002210011201121211210
4133323202312332003123300
5121401311321012232240
61214401131420440120
741402554014330033
oct3773426676033360
9612202704647753
10140431320430320
11408226523894a7
12139006450a9040
136048802b5303a
142696cab01701a
151137e1a8d7780
hex7fb8b6f836f0

140431320430320 has 80 divisors (see below), whose sum is σ = 436886335868832. Its totient is φ = 37315083939840.

The previous prime is 140431320430319. The next prime is 140431320430327. The reversal of 140431320430320 is 23034023134041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1404313204303202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140431320430327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1041090037 + ... + 1041224916.

Almost surely, 2140431320430320 is an apocalyptic number.

140431320430320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140431320430320 is an abundant number, since it is smaller than the sum of its proper divisors (296455015438512).

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

140431320430320 is a wasteful number, since it uses less digits than its factorization.

140431320430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082315250 (or 2082315244 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 140431320430320 its reverse (23034023134041), we get a palindrome (163465343564361).

The spelling of 140431320430320 in words is "one hundred forty trillion, four hundred thirty-one billion, three hundred twenty million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 281 562 843 1124 1405 1686 2248 2810 3372 4215 4496 5620 6744 8430 11240 13488 16860 22480 33720 67440 2082314953 4164629906 6246944859 8329259812 10411574765 12493889718 16658519624 20823149530 24987779436 31234724295 33317039248 41646299060 49975558872 62469448590 83292598120 99951117744 124938897180 166585196240 249877794360 499755588720 585130501793 1170261003586 1755391505379 2340522007172 2925652508965 3510783010758 4681044014344 5851305017930 7021566021516 8776957526895 9362088028688 11702610035860 14043132043032 17553915053790 23405220071720 28086264086064 35107830107580 46810440143440 70215660215160 140431320430320