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140853514086132 = 2231729617915731469
BaseRepresentation
bin100000000001101100000011…
…101011000010011011110100
3200110201110112120120112010220
4200001230003223002123310
5121430220444101224012
61215323113332014340
741445221246231661
oct4001540353023364
9613643476515126
10140853514086132
1140975704726a01
121396a430a613b0
136079577488aa3
1426ad4bc96aa68
151143dca91408c
hex801b03ac26f4

140853514086132 has 384 divisors, whose sum is σ = 372895633152000. Its totient is φ = 41169690132480.

The previous prime is 140853514086121. The next prime is 140853514086137. The reversal of 140853514086132 is 231680415358041.

It is a super-2 number, since 2×1408535140861322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140853514086137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4475929294 + ... + 4475960762.

It is an arithmetic number, because the mean of its divisors is an integer number (971082378000).

Almost surely, 2140853514086132 is an apocalyptic number.

140853514086132 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 140853514086132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186447816576000).

140853514086132 is an abundant number, since it is smaller than the sum of its proper divisors (232042119065868).

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

140853514086132 is a wasteful number, since it uses less digits than its factorization.

140853514086132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31819 (or 31817 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 140853514086132 in words is "one hundred forty trillion, eight hundred fifty-three billion, five hundred fourteen million, eighty-six thousand, one hundred thirty-two".