Search a number
-
+
140028890760 = 2332511229110849
BaseRepresentation
bin1000001001101001011…
…1110100111010001000
3111101102212001200102100
42002122113310322020
54243234344001020
6144154533033400
713055021634633
oct2023227647210
9441385050370
10140028890760
1154427727200
122317b485860
1310287869115
146ac53ccc1a
15399852ba90
hex209a5f4e88

140028890760 has 288 divisors, whose sum is σ = 517481055000. Its totient is φ = 32775536640.

The previous prime is 140028890671. The next prime is 140028890803. The reversal of 140028890760 is 67098820041.

It can be written as a sum of positive squares in 4 ways, for example, as 137532689316 + 2496201444 = 370854^2 + 49962^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1207816 + ... + 1318664.

Almost surely, 2140028890760 is an apocalyptic number.

140028890760 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 140028890760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258740527500).

140028890760 is an abundant number, since it is smaller than the sum of its proper divisors (377452164240).

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

140028890760 is a wasteful number, since it uses less digits than its factorization.

140028890760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110917 (or 110899 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 140028890760 in words is "one hundred forty billion, twenty-eight million, eight hundred ninety thousand, seven hundred sixty".