Search a number
-
+
140016527640 = 233351167175909
BaseRepresentation
bin1000001001100110100…
…0101010100100011000
3111101101222210120102000
42002121220222210120
54243223212341030
6144153412041000
713054511563563
oct2023150524430
9441358716360
10140016527640
1154420752650
1223177303160
131028512aa72
146ac38d14da
1539973d8860
hex2099a2a918

140016527640 has 256 divisors, whose sum is σ = 516753216000. Its totient is φ = 33436592640.

The previous prime is 140016527639. The next prime is 140016527647. The reversal of 140016527640 is 46725610041.

140016527640 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 6 + 5 + 2 + 7 + 640 = 666.

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 = 140016527595 and 140016527604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140016527647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 708006 + ... + 883914.

It is an arithmetic number, because the mean of its divisors is an integer number (2018567250).

Almost surely, 2140016527640 is an apocalyptic number.

140016527640 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 140016527640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258376608000).

140016527640 is an abundant number, since it is smaller than the sum of its proper divisors (376736688360).

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

140016527640 is a wasteful number, since it uses less digits than its factorization.

140016527640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176007 (or 175997 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 140016527640 in words is "one hundred forty billion, sixteen million, five hundred twenty-seven thousand, six hundred forty".