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140598205440 = 210357112101107
BaseRepresentation
bin1000001011110001001…
…1100101110000000000
3111102220112022212100020
42002330103211300000
54300421120033230
6144331231253440
713105104012330
oct2027423456000
9442815285306
10140598205440
115469a026800
12232ba07a280
13103487acb04
146b3ac690c0
1539cd4d7810
hex20bc4e5c00

140598205440 has 1056 divisors, whose sum is σ = 575830467072. Its totient is φ = 28655616000.

The previous prime is 140598205427. The next prime is 140598205457. The reversal of 140598205440 is 44502895041.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 140598205392 and 140598205401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1314001867 + ... + 1314001973.

Almost surely, 2140598205440 is an apocalyptic number.

140598205440 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 140598205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287915233536).

140598205440 is an abundant number, since it is smaller than the sum of its proper divisors (435232261632).

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

140598205440 is a wasteful number, since it uses less digits than its factorization.

140598205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 140598205440 in words is "one hundred forty billion, five hundred ninety-eight million, two hundred five thousand, four hundred forty".