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140441653872 = 243313232411153
BaseRepresentation
bin1000001011001011111…
…0011001001001110000
3111102111121202012222000
42002302332121021300
54300111030410442
6144303520014000
713101163234632
oct2026276311160
9442447665860
10140441653872
115461971a243
1223275761300
1310322228b50
146b24156a52
1539be8b1d4c
hex20b2f99270

140441653872 has 480 divisors, whose sum is σ = 465296677440. Its totient is φ = 40290877440.

The previous prime is 140441653853. The next prime is 140441653883. The reversal of 140441653872 is 278356144041.

140441653872 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 41 + 6 + 538 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121804848 + ... + 121806000.

It is an arithmetic number, because the mean of its divisors is an integer number (969368078).

Almost surely, 2140441653872 is an apocalyptic number.

140441653872 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 140441653872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232648338720).

140441653872 is an abundant number, since it is smaller than the sum of its proper divisors (324855023568).

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

140441653872 is a wasteful number, since it uses less digits than its factorization.

140441653872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 140441653872 in words is "one hundred forty billion, four hundred forty-one million, six hundred fifty-three thousand, eight hundred seventy-two".