Search a number
-
+
340139588672 = 26132377111971
BaseRepresentation
bin1001111001100011110…
…01100011110001000000
31012111221220122101220102
410330301321203301000
521033101213314142
6420131415501532
733400655541242
oct4746171436100
91174856571812
10340139588672
11121285a26384
1255b080878a8
13260c8aa6200
141266a088092
158cab56a532
hex4f31e63c40

340139588672 has 168 divisors, whose sum is σ = 761268065472. Its totient is φ = 150580684800.

The previous prime is 340139588671. The next prime is 340139588809. The reversal of 340139588672 is 276885931043.

It is not an unprimeable number, because it can be changed into a prime (340139588671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28407647 + ... + 28419617.

It is a 1-persistent number, because it is pandigital, but 2⋅340139588672 = 680279177344 is not.

Almost surely, 2340139588672 is an apocalyptic number.

340139588672 is a gapful number since it is divisible by the number (32) 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 340139588672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380634032736).

340139588672 is an abundant number, since it is smaller than the sum of its proper divisors (421128476800).

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

340139588672 is a wasteful number, since it uses less digits than its factorization.

340139588672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12117 (or 12094 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 340139588672 in words is "three hundred forty billion, one hundred thirty-nine million, five hundred eighty-eight thousand, six hundred seventy-two".