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140166235440 = 243257112229841
BaseRepresentation
bin1000001010001010001…
…1110000010100110000
3111101210102111111220100
42002202203300110300
54244030024013230
6144220320512400
713061310225510
oct2024243602460
9441712444810
10140166235440
1154498205300
12231b947b700
13102aa15696a
146ad9741840
1539a560b660
hex20a28f0530

140166235440 has 360 divisors, whose sum is σ = 591326465184. Its totient is φ = 29125324800.

The previous prime is 140166235439. The next prime is 140166235483. The reversal of 140166235440 is 44532661041.

140166235440 is a `hidden beast` number, since 1 + 40 + 16 + 62 + 3 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 140166235395 and 140166235404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 494920 + ... + 724760.

Almost surely, 2140166235440 is an apocalyptic number.

140166235440 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 140166235440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295663232592).

140166235440 is an abundant number, since it is smaller than the sum of its proper divisors (451160229744).

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

140166235440 is a wasteful number, since it uses less digits than its factorization.

140166235440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229889 (or 229869 counting only the distinct ones).

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

Adding to 140166235440 its reverse (44532661041), we get a palindrome (184698896481).

The spelling of 140166235440 in words is "one hundred forty billion, one hundred sixty-six million, two hundred thirty-five thousand, four hundred forty".