Search a number
-
+
104014310241330 = 23453741591434731
BaseRepresentation
bin10111101001100110111000…
…000000110111010000110010
3111122021200010010020210220000
4113221212320000313100302
5102113132301410210310
61005115303042530430
730623533400166516
oct2751467000672062
9448250103223800
10104014310241330
1130162248535975
12b7ba806066a16
1346066798c59a8
141b98468906146
15c059b6c414c0
hex5e99b8037432

104014310241330 has 320 divisors, whose sum is σ = 299235281304960. Its totient is φ = 25882988313600.

The previous prime is 104014310241301. The next prime is 104014310241419. The reversal of 104014310241330 is 33142013410401.

104014310241330 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 14 + 310 + 2 + 4 + 1 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 104014310241294 and 104014310241303.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71780065 + ... + 73214795.

It is an arithmetic number, because the mean of its divisors is an integer number (935110254078).

Almost surely, 2104014310241330 is an apocalyptic number.

104014310241330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104014310241330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149617640652480).

104014310241330 is an abundant number, since it is smaller than the sum of its proper divisors (195220971063630).

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

104014310241330 is a wasteful number, since it uses less digits than its factorization.

104014310241330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434887 (or 1434878 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 104014310241330 its reverse (33142013410401), we get a palindrome (137156323651731).

The spelling of 104014310241330 in words is "one hundred four trillion, fourteen billion, three hundred ten million, two hundred forty-one thousand, three hundred thirty".