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140858984448 = 2113472133143
BaseRepresentation
bin1000001100101111011…
…0011000100000000000
3111110120201000210220000
42003023312120200000
54301434400000243
6144413144520000
713114421420100
oct2031366304000
9443521023800
10140858984448
1154813251946
1223371480000
131038a827810
146b6374d200
1539e634a5d3
hex20cbd98800

140858984448 has 1440 divisors, whose sum is σ = 556730254080. Its totient is φ = 35115171840.

The previous prime is 140858984447. The next prime is 140858984533. The reversal of 140858984448 is 844489858041.

140858984448 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 589 + 8 + 4 + 4 + 48 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (140858984447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3275790315 + ... + 3275790357.

It is an arithmetic number, because the mean of its divisors is an integer number (386618232).

Almost surely, 2140858984448 is an apocalyptic number.

140858984448 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 140858984448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278365127040).

140858984448 is an abundant number, since it is smaller than the sum of its proper divisors (415871269632).

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

140858984448 is a wasteful number, since it uses less digits than its factorization.

140858984448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 63.

The spelling of 140858984448 in words is "one hundred forty billion, eight hundred fifty-eight million, nine hundred eighty-four thousand, four hundred forty-eight".