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140739892560 = 243253717832963
BaseRepresentation
bin1000001100010011000…
…0000101010101010000
3111110021101221022112100
42003010300011111100
54301213403030220
6144353252200400
713111444230321
oct2030460052520
9443241838470
10140739892560
11547620003a3
1223339609100
131036bc5b047
146b519cc448
1539dab73d90
hex20c4c05550

140739892560 has 240 divisors, whose sum is σ = 485862009984. Its totient is φ = 36483499008.

The previous prime is 140739892543. The next prime is 140739892567. The reversal of 140739892560 is 65298937041.

140739892560 is a `hidden beast` number, since 1 + 4 + 0 + 73 + 9 + 8 + 9 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 140739892497 and 140739892506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140739892567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47497639 + ... + 47500601.

It is a 1-persistent number, because it is pandigital, but 2⋅140739892560 = 281479785120 is not.

Almost surely, 2140739892560 is an apocalyptic number.

140739892560 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 140739892560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242931004992).

140739892560 is an abundant number, since it is smaller than the sum of its proper divisors (345122117424).

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

140739892560 is a wasteful number, since it uses less digits than its factorization.

140739892560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4802 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 140739892560 in words is "one hundred forty billion, seven hundred thirty-nine million, eight hundred ninety-two thousand, five hundred sixty".