Search a number
-
+
340610656535552 = 2101324121170857
BaseRepresentation
bin100110101110010001001100…
…1001100001000010000000000
31122200000001122021212202020202
41031130202121030020100000
5324121031111033114202
63204230213033224332
7131513210410460444
oct11534423114102000
91580001567782222
10340610656535552
1199590193a04a67
12322507638620a8
13118095a7348c00
1460179025ba824
15295a0e8c40802
hex135c899308400

340610656535552 has 198 divisors, whose sum is σ = 755715687304734. Its totient is φ = 153370521108480.

The previous prime is 340610656535549. The next prime is 340610656535557. The reversal of 340610656535552 is 255535656016043.

It can be written as a sum of positive squares in 9 ways, for example, as 315846258820096 + 24764397715456 = 17772064^2 + 4976384^2 .

It is not an unprimeable number, because it can be changed into a prime (340610656535557) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 290321708 + ... + 291492564.

Almost surely, 2340610656535552 is an apocalyptic number.

340610656535552 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 340610656535552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377857843652367).

340610656535552 is an abundant number, since it is smaller than the sum of its proper divisors (415105030769182).

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

340610656535552 is a wasteful number, since it uses less digits than its factorization.

340610656535552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170985 (or 1170913 counting only the distinct ones).

The product of its (nonzero) digits is 48600000, while the sum is 56.

The spelling of 340610656535552 in words is "three hundred forty trillion, six hundred ten billion, six hundred fifty-six million, five hundred thirty-five thousand, five hundred fifty-two".