Search a number
-
+
139454701281792 = 2932135997615107
BaseRepresentation
bin11111101101010101010011…
…111011101010001000000000
3200021202201221220111111221200
4133231111103323222020000
5121234311212012004132
61212332334431021200
741242161333460521
oct3755252373521000
9607681856444850
10139454701281792
114048645232a356
121378330936a800
135ca76a2812270
142661901cba848
15111c80bb10d7c
hex7ed553eea200

139454701281792 has 480 divisors, whose sum is σ = 434814613833600. Its totient is φ = 42772836188160.

The previous prime is 139454701281739. The next prime is 139454701281799. The reversal of 139454701281792 is 297182107454931.

139454701281792 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 5 + 470 + 12 + 81 + 79 + 2 = 666.

139454701281792 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1394547012817922 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (139454701281799) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27306576903 + ... + 27306582009.

It is an arithmetic number, because the mean of its divisors is an integer number (905863778820).

Almost surely, 2139454701281792 is an apocalyptic number.

139454701281792 is a gapful number since it is divisible by the number (12) 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 139454701281792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217407306916800).

139454701281792 is an abundant number, since it is smaller than the sum of its proper divisors (295359912551808).

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

139454701281792 is a wasteful number, since it uses less digits than its factorization.

139454701281792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6504 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 139454701281792 in words is "one hundred thirty-nine trillion, four hundred fifty-four billion, seven hundred one million, two hundred eighty-one thousand, seven hundred ninety-two".