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140022134002332 = 22324438779918109
BaseRepresentation
bin11111110101100101110001…
…100011101101001010011100
3200100202222121021021100201100
4133311211301203231022130
5121323110312301033312
61213445140315313100
741331160004145111
oct3765456143551234
9610688537240640
10140022134002332
114068506530285a
121385528944b790
13601905224caba
142681170b90908
15112c46c7895dc
hex7f59718ed29c

140022134002332 has 36 divisors (see below), whose sum is σ = 354743811316440. Its totient is φ = 46568685644832.

The previous prime is 140022134002313. The next prime is 140022134002349. The reversal of 140022134002332 is 233200431220041.

140022134002332 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 2 + 21 + 3 + 400 + 233 + 2 = 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 = 140022134002296 and 140022134002305.

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, 4389943107 + ... + 4389975002.

It is an arithmetic number, because the mean of its divisors is an integer number (9853994758790).

Almost surely, 2140022134002332 is an apocalyptic number.

140022134002332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140022134002332 is an abundant number, since it is smaller than the sum of its proper divisors (214721677314108).

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

140022134002332 is a wasteful number, since it uses less digits than its factorization.

140022134002332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8779918562 (or 8779918557 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 140022134002332 its reverse (233200431220041), we get a palindrome (373222565222373).

The spelling of 140022134002332 in words is "one hundred forty trillion, twenty-two billion, one hundred thirty-four million, two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 443 886 1329 1772 2658 3987 5316 7974 15948 8779918109 17559836218 26339754327 35119672436 52679508654 79019262981 105359017308 158038525962 316077051924 3889503722287 7779007444574 11668511166861 15558014889148 23337022333722 35005533500583 46674044667444 70011067001166 140022134002332