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140117537572848 = 24331125371279127
BaseRepresentation
bin11111110110111110101000…
…000011011100011111110000
3200101010002212002220220002000
4133312332220003130133300
5121331141204104312343
61214001035205054000
741341105126131423
oct3766765003343760
9611102762826060
10140117537572848
1140711572115400
121386b8739b7300
1360250476c2484
142685a215a39ba
15112eba31d8ed3
hex7f6fa80dc7f0

140117537572848 has 1440 divisors, whose sum is σ = 466275756441600. Its totient is φ = 40232781388800.

The previous prime is 140117537572847. The next prime is 140117537572861. The reversal of 140117537572848 is 848275735711041.

140117537572848 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 1 + 7 + 53 + 7 + 572 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×1401175375728482 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140117537572841) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1103287697361 + ... + 1103287697487.

It is an arithmetic number, because the mean of its divisors is an integer number (323802608640).

Almost surely, 2140117537572848 is an apocalyptic number.

140117537572848 is a gapful number since it is divisible by the number (18) 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 140117537572848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233137878220800).

140117537572848 is an abundant number, since it is smaller than the sum of its proper divisors (326158218868752).

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

140117537572848 is a wasteful number, since it uses less digits than its factorization.

140117537572848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 63.

The spelling of 140117537572848 in words is "one hundred forty trillion, one hundred seventeen billion, five hundred thirty-seven million, five hundred seventy-two thousand, eight hundred forty-eight".