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140022311403132 = 22328943702344383
BaseRepresentation
bin11111110101100101111100…
…001000011011111001111100
3200100210000001122002020212100
4133311211330020123321330
5121323111143204400012
61213445210053505100
741331164260056444
oct3765457410337174
9610700048066770
10140022311403132
114068514645a694
1213855318942190
13601907cc238a2
14268118a56d124
15112c47d12c8dc
hex7f597c21be7c

140022311403132 has 36 divisors (see below), whose sum is σ = 357922200504960. Its totient is φ = 46149675667392.

The previous prime is 140022311402999. The next prime is 140022311403151. The reversal of 140022311403132 is 231304113220041.

140022311403132 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 223 + 1 + 1 + 403 + 1 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 140022311403096 and 140022311403105.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 21851168988 + ... + 21851175395.

It is an arithmetic number, because the mean of its divisors is an integer number (9942283347360).

Almost surely, 2140022311403132 is an apocalyptic number.

140022311403132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140022311403132 is an abundant number, since it is smaller than the sum of its proper divisors (217899889101828).

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

140022311403132 is a wasteful number, since it uses less digits than its factorization.

140022311403132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43702344482 (or 43702344477 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 140022311403132 its reverse (231304113220041), we get a palindrome (371326424623173).

The spelling of 140022311403132 in words is "one hundred forty trillion, twenty-two billion, three hundred eleven million, four hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 43702344383 87404688766 131107033149 174809377532 262214066298 393321099447 524428132596 786642198894 1573284397788 3889508650087 7779017300174 11668525950261 15558034600348 23337051900522 35005577850783 46674103801044 70011155701566 140022311403132