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140797328429952 = 27342931101149561
BaseRepresentation
bin100000000000110111101110…
…101111110001001110000000
3200110112002111220100110110000
4200000313232233301032000
5121423310412034224302
61215241222202240000
741441162024104125
oct4000675657611600
9613462456313400
10140797328429952
11409538a2357907
121395b5704b6000
136074192048a9c
1426aa8ac90074c
1511426dceb231c
hex800deebf1380

140797328429952 has 640 divisors, whose sum is σ = 451874901139200. Its totient is φ = 43417866240000.

The previous prime is 140797328429939. The next prime is 140797328429957. The reversal of 140797328429952 is 259924823797041.

140797328429952 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 9 + 7 + 3 + 284 + 299 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140797328429957) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 941329252 + ... + 941478812.

It is an arithmetic number, because the mean of its divisors is an integer number (706054533030).

Almost surely, 2140797328429952 is an apocalyptic number.

140797328429952 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 140797328429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225937450569600).

140797328429952 is an abundant number, since it is smaller than the sum of its proper divisors (311077572709248).

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

140797328429952 is a wasteful number, since it uses less digits than its factorization.

140797328429952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149748 (or 149727 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 140797328429952 in words is "one hundred forty trillion, seven hundred ninety-seven billion, three hundred twenty-eight million, four hundred twenty-nine thousand, nine hundred fifty-two".