Search a number
-
+
1342023102420 = 22357211313233137
BaseRepresentation
bin10011100001110110110…
…011110110111111010100
311202021222220020020111220
4103201312303312333110
5133441430403234140
62504303352330340
7165646404104100
oct23416663667724
94667886206456
101342023102420
11478170067000
121981149a39b0
1399724352610
1448d50706900
1524d98334bd0
hex13876cf6fd4

1342023102420 has 2304 divisors, whose sum is σ = 5727934808064. Its totient is φ = 231836774400.

The previous prime is 1342023102379. The next prime is 1342023102439. The reversal of 1342023102420 is 242013202431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 36270894642 + ... + 36270894678.

It is an arithmetic number, because the mean of its divisors is an integer number (2486082816).

Almost surely, 21342023102420 is an apocalyptic number.

1342023102420 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 1342023102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863967404032).

1342023102420 is an abundant number, since it is smaller than the sum of its proper divisors (4385911705644).

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

1342023102420 is a wasteful number, since it uses less digits than its factorization.

1342023102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1342023102420 its reverse (242013202431), we get a palindrome (1584036304851).

The spelling of 1342023102420 in words is "one trillion, three hundred forty-two billion, twenty-three million, one hundred two thousand, four hundred twenty".