Search a number
-
+
342498694966272 = 210321319231467547
BaseRepresentation
bin100110111100000000011000…
…1000011001010110000000000
31122220200112222221021120122200
41031320000301003022300000
5324342444311402410042
63212233421153233200
7132066466642364265
oct11570006103126000
91586615887246580
10342498694966272
119a1489764276a9
12324b665bb62800
1311915646ba34b0
14608104d55326c
15298e29c804c4c
hex13780310cac00

342498694966272 has 1584 divisors, whose sum is σ = 1164905232970752. Its totient is φ = 96233964503040.

The previous prime is 342498694966271. The next prime is 342498694966289. The reversal of 342498694966272 is 272669496894243.

342498694966272 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 9 + 8 + 69 + 496 + 62 + 7 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 342498694966191 and 342498694966200.

It is not an unprimeable number, because it can be changed into a prime (342498694966271) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 626140209903 + ... + 626140210449.

Almost surely, 2342498694966272 is an apocalyptic number.

342498694966272 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 342498694966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582452616485376).

342498694966272 is an abundant number, since it is smaller than the sum of its proper divisors (822406538004480).

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

342498694966272 is a wasteful number, since it uses less digits than its factorization.

342498694966272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1082 counting only the distinct ones).

The product of its digits is 13544423424, while the sum is 81.

The spelling of 342498694966272 in words is "three hundred forty-two trillion, four hundred ninety-eight billion, six hundred ninety-four million, nine hundred sixty-six thousand, two hundred seventy-two".