Search a number
-
+
10342140321320 = 23523311672937411
BaseRepresentation
bin1001011001111111011110…
…0110011001111000101000
31100121200212112121101221222
42112133313212121320220
52323421200410240240
633555040315321212
72115123610161413
oct226376746317050
940550775541858
1010342140321320
113328093657455
1211b0461a50208
135a034b5a43b2
1427a7c2bc2b7a
1512e051e67eb5
hex967f7999e28

10342140321320 has 256 divisors, whose sum is σ = 25304382996480. Its totient is φ = 3792914611200.

The previous prime is 10342140321319. The next prime is 10342140321353. The reversal of 10342140321320 is 2312304124301.

It is a self number, because there is not a number n which added to its sum of digits gives 10342140321320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1395508415 + ... + 1395515825.

It is an arithmetic number, because the mean of its divisors is an integer number (98845246080).

Almost surely, 210342140321320 is an apocalyptic number.

10342140321320 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 10342140321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12652191498240).

10342140321320 is an abundant number, since it is smaller than the sum of its proper divisors (14962242675160).

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

10342140321320 is a wasteful number, since it uses less digits than its factorization.

10342140321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7936 (or 7932 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 10342140321320 its reverse (2312304124301), we get a palindrome (12654444445621).

The spelling of 10342140321320 in words is "ten trillion, three hundred forty-two billion, one hundred forty million, three hundred twenty-one thousand, three hundred twenty".