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140099845536 = 25337233153613
BaseRepresentation
bin1000001001111010011…
…0011111110110100000
3111101121210120120002000
42002132212133312200
54243411030024121
6144205545524000
713056543016110
oct2023646376640
9441553516060
10140099845536
115446378a612
122319b1a3600
13102994803b1
146ad09bd040
15399e895526
hex209e99fda0

140099845536 has 768 divisors, whose sum is σ = 513350369280. Its totient is φ = 36294635520.

The previous prime is 140099845493. The next prime is 140099845537. The reversal of 140099845536 is 635548990041.

140099845536 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 9 + 9 + 84 + 553 + 6 = 666.

140099845536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1400998455362 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (140099845537) 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, 228547566 + ... + 228548178.

It is an arithmetic number, because the mean of its divisors is an integer number (668424960).

Almost surely, 2140099845536 is an apocalyptic number.

140099845536 is a gapful number since it is divisible by the number (16) 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 140099845536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256675184640).

140099845536 is an abundant number, since it is smaller than the sum of its proper divisors (373250523744).

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

140099845536 is a wasteful number, since it uses less digits than its factorization.

140099845536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 140099845536 in words is "one hundred forty billion, ninety-nine million, eight hundred forty-five thousand, five hundred thirty-six".