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140946391040 = 214572133773
BaseRepresentation
bin1000001101000100001…
…1110100000000000000
3111110210210111112012012
42003101003310000000
54302124234003130
6144425550152052
713116532361600
oct2032103640000
9443723445165
10140946391040
11548586217a4
12233967b2628
13103a297c1b0
146b711c2c00
1539edd63995
hex20d10f4000

140946391040 has 720 divisors, whose sum is σ = 441170169552. Its totient is φ = 42807066624.

The previous prime is 140946391031. The next prime is 140946391063. The reversal of 140946391040 is 40193649041.

It can be written as a sum of positive squares in 8 ways, for example, as 3211264 + 140943179776 = 1792^2 + 375424^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1930772444 + ... + 1930772516.

Almost surely, 2140946391040 is an apocalyptic number.

140946391040 is a gapful number since it is divisible by the number (10) 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 140946391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220585084776).

140946391040 is an abundant number, since it is smaller than the sum of its proper divisors (300223778512).

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

140946391040 is an equidigital number, since it uses as much as digits as its factorization.

140946391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 140946391040 in words is "one hundred forty billion, nine hundred forty-six million, three hundred ninety-one thousand, forty".