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140641712640 = 2936511131731
BaseRepresentation
bin1000001011111011100…
…1100011101000000000
3111110000120012021000000
42002332321203220000
54301013234301030
6144335424000000
713106142555432
oct2027671435000
9443016167000
10140641712640
1154711642370
1223310760000
1310354803b10
146b42952652
1539d222d860
hex20bee63a00

140641712640 has 2240 divisors, whose sum is σ = 649200448512. Its totient is φ = 28665446400.

The previous prime is 140641712483. The next prime is 140641712689. The reversal of 140641712640 is 46217146041.

It is a happy number.

140641712640 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 4 + 1 + 7 + 1 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140641712595 and 140641712604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4536829425 + ... + 4536829455.

Almost surely, 2140641712640 is an apocalyptic number.

140641712640 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 140641712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324600224256).

140641712640 is an abundant number, since it is smaller than the sum of its proper divisors (508558735872).

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

140641712640 is a wasteful number, since it uses less digits than its factorization.

140641712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 140641712640 its reverse (46217146041), we get a palindrome (186858858681).

The spelling of 140641712640 in words is "one hundred forty billion, six hundred forty-one million, seven hundred twelve thousand, six hundred forty".