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140978194560 = 27325723281541
BaseRepresentation
bin1000001101001011110…
…1001000100010000000
3111110220000100022102100
42003102331020202000
54302210404211220
6144433043550400
713120366611330
oct2032275104200
9443800308370
10140978194560
11548745741a5
12233a538b400
13103a9436048
146b755010c0
153a01a46d90
hex20d2f48880

140978194560 has 768 divisors, whose sum is σ = 583692894720. Its totient is φ = 30656102400.

The previous prime is 140978194531. The next prime is 140978194573. The reversal of 140978194560 is 65491879041.

140978194560 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 78 + 1 + 9 + 4 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 140978194497 and 140978194506.

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 95 ways as a sum of consecutive naturals, for example, 260587890 + ... + 260588430.

It is an arithmetic number, because the mean of its divisors is an integer number (760016790).

Almost surely, 2140978194560 is an apocalyptic number.

140978194560 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 140978194560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291846447360).

140978194560 is an abundant number, since it is smaller than the sum of its proper divisors (442714700160).

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

140978194560 is a wasteful number, since it uses less digits than its factorization.

140978194560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 140978194560 in words is "one hundred forty billion, nine hundred seventy-eight million, one hundred ninety-four thousand, five hundred sixty".