Search a number
-
+
139782020640 = 253531137191359
BaseRepresentation
bin1000001000101110101…
…0000101111000100000
3111100210122112101021120
42002023222011320200
54242233144130030
6144114233452240
713045633366653
oct2021352057040
9440718471246
10139782020640
1154310341009
1223110871080
1310248681222
146aa06c989a
153981a15010
hex208ba85e20

139782020640 has 384 divisors, whose sum is σ = 461513687040. Its totient is φ = 35522764800.

The previous prime is 139782020627. The next prime is 139782020659. The reversal of 139782020640 is 46020287931.

It is a junction number, because it is equal to n+sod(n) for n = 139782020592 and 139782020601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 389364781 + ... + 389365139.

It is an arithmetic number, because the mean of its divisors is an integer number (1201858560).

Almost surely, 2139782020640 is an apocalyptic number.

139782020640 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 139782020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230756843520).

139782020640 is an abundant number, since it is smaller than the sum of its proper divisors (321731666400).

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

139782020640 is a wasteful number, since it uses less digits than its factorization.

139782020640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 139782020640 in words is "one hundred thirty-nine billion, seven hundred eighty-two million, twenty thousand, six hundred forty".