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140287422240 = 25325728194937
BaseRepresentation
bin1000001010100111001…
…0000010111100100000
3111102002212112102221100
42002221302002330200
54244302040002430
6144240330154400
713064311262010
oct2025162027440
9442085472840
10140287422240
115454a657789
1223231b82a00
13102c92a7b24
146b0b889c40
1539b1098960
hex20a9c82f20

140287422240 has 288 divisors, whose sum is σ = 547425889920. Its totient is φ = 32047828992.

The previous prime is 140287422181. The next prime is 140287422257. The reversal of 140287422240 is 42224782041.

140287422240 is a `hidden beast` number, since 1 + 402 + 8 + 7 + 4 + 2 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 140287422195 and 140287422204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28413052 + ... + 28417988.

It is an arithmetic number, because the mean of its divisors is an integer number (1900784340).

Almost surely, 2140287422240 is an apocalyptic number.

140287422240 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 140287422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273712944960).

140287422240 is an abundant number, since it is smaller than the sum of its proper divisors (407138467680).

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

140287422240 is a wasteful number, since it uses less digits than its factorization.

140287422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7784 (or 7773 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 140287422240 in words is "one hundred forty billion, two hundred eighty-seven million, four hundred twenty-two thousand, two hundred forty".