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140566487040 = 2133257194761
BaseRepresentation
bin1000001011101001101…
…0100110000000000000
3111102211022122101212200
42002322122212000000
54300340010041130
6144324135353200
713104240266010
oct2027232460000
9442738571780
10140566487040
1154683132251
12232ab522800
1310342055925
146b3696dc40
1539ca81e760
hex20ba6a6000

140566487040 has 1344 divisors, whose sum is σ = 608472483840. Its totient is φ = 29302456320.

The previous prime is 140566487027. The next prime is 140566487041. The reversal of 140566487040 is 40784665041.

140566487040 is a `hidden beast` number, since 1 + 4 + 0 + 566 + 4 + 87 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×1405664870403 (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140566487041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2304368610 + ... + 2304368670.

Almost surely, 2140566487040 is an apocalyptic number.

140566487040 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 140566487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304236241920).

140566487040 is an abundant number, since it is smaller than the sum of its proper divisors (467905996800).

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

140566487040 is a wasteful number, since it uses less digits than its factorization.

140566487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

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

The spelling of 140566487040 in words is "one hundred forty billion, five hundred sixty-six million, four hundred eighty-seven thousand, forty".