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140661235440 = 2432511174183307
BaseRepresentation
bin1000001100000000010…
…0000001111011110000
3111110001220221010020200
42003000010001323300
54301033234013230
6144341402235200
713106500526265
oct2030004017360
9443056833220
10140661235440
1154721667110
12233171b5b00
131035887ac7b
146b4539526c
1539d3cd8160
hex20c0101ef0

140661235440 has 960 divisors, whose sum is σ = 567530675712. Its totient is φ = 30833049600.

The previous prime is 140661235381. The next prime is 140661235453. The reversal of 140661235440 is 44532166041.

140661235440 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 612 + 35 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×1406612354402 (a number of 23 digits) contains 22 as substring.

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 = 140661235395 and 140661235404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 458179767 + ... + 458180073.

Almost surely, 2140661235440 is an apocalyptic number.

140661235440 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 140661235440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283765337856).

140661235440 is an abundant number, since it is smaller than the sum of its proper divisors (426869440272).

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

140661235440 is a wasteful number, since it uses less digits than its factorization.

140661235440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 140661235440 in words is "one hundred forty billion, six hundred sixty-one million, two hundred thirty-five thousand, four hundred forty".