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140067216108792 = 23357193117475391
BaseRepresentation
bin11111110110001111110000…
…101010010010110011111000
3200100221021222010012122200000
4133312033300222102303320
5121324330124310440132
61213521554001313000
741334344121551610
oct3766176052226370
9610837863178600
10140067216108792
11406a2199a48685
1213861b6b335760
13602038817b03b
14268340a2b3a40
15112d70a4e587c
hex7f63f0a92cf8

140067216108792 has 384 divisors, whose sum is σ = 488528078438400. Its totient is φ = 36689930812800.

The previous prime is 140067216108731. The next prime is 140067216108793. The reversal of 140067216108792 is 297801612760041.

140067216108792 is a `hidden beast` number, since 1 + 400 + 6 + 7 + 2 + 161 + 0 + 8 + 79 + 2 = 666.

It is a super-2 number, since 2×1400672161087922 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140067216108793) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 722584 + ... + 16752807.

It is an arithmetic number, because the mean of its divisors is an integer number (1272208537600).

Almost surely, 2140067216108792 is an apocalyptic number.

140067216108792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140067216108792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244264039219200).

140067216108792 is an abundant number, since it is smaller than the sum of its proper divisors (348460862329608).

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

140067216108792 is a wasteful number, since it uses less digits than its factorization.

140067216108792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17475469 (or 17475453 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 140067216108792 in words is "one hundred forty trillion, sixty-seven billion, two hundred sixteen million, one hundred eight thousand, seven hundred ninety-two".