Search a number
-
+
1410380916168 = 23371715112792557
BaseRepresentation
bin10100100001100001010…
…000001110010111001000
311222211102212111222100110
4110201201100032113020
5141101430003304133
62555530421434320
7203616360661530
oct24414120162710
94884385458313
101410380916168
114a4159293254
121a941186b9a0
13a2cc94b3513
144c3971a64c0
1526a496b1c63
hex1486140e5c8

1410380916168 has 256 divisors, whose sum is σ = 4299993907200. Its totient is φ = 376308633600.

The previous prime is 1410380916163. The next prime is 1410380916193. The reversal of 1410380916168 is 8616190830141.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1410380916163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 551575146 + ... + 551577702.

It is an arithmetic number, because the mean of its divisors is an integer number (16796851200).

Almost surely, 21410380916168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1410380916168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149996953600).

1410380916168 is an abundant number, since it is smaller than the sum of its proper divisors (2889612991032).

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

1410380916168 is a wasteful number, since it uses less digits than its factorization.

1410380916168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020 (or 4016 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 1410380916168 in words is "one trillion, four hundred ten billion, three hundred eighty million, nine hundred sixteen thousand, one hundred sixty-eight".