Search a number
-
+
3714413096394 = 23372111319271383
BaseRepresentation
bin110110000011010100010…
…001011110110111001010
3111011002112211112211111000
4312003110101132313022
5441324104223041034
611522213335315430
7532233422244600
oct66032421366712
914132484484430
103714413096394
1112023013a3a90
124bba6551bb76
1320c363054340
14cbac84c7870
1566948d2d599
hex360d445edca

3714413096394 has 1152 divisors, whose sum is σ = 12104701378560. Its totient is φ = 829641657600.

The previous prime is 3714413096369. The next prime is 3714413096441. The reversal of 3714413096394 is 4936903144173.

3714413096394 is a `hidden beast` number, since 37 + 1 + 4 + 4 + 130 + 96 + 394 = 666.

3714413096394 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3714413096394.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9698206327 + ... + 9698206709.

It is an arithmetic number, because the mean of its divisors is an integer number (10507553280).

Almost surely, 23714413096394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3714413096394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6052350689280).

3714413096394 is an abundant number, since it is smaller than the sum of its proper divisors (8390288282166).

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

3714413096394 is a wasteful number, since it uses less digits than its factorization.

3714413096394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 3714413096394 in words is "three trillion, seven hundred fourteen billion, four hundred thirteen million, ninety-six thousand, three hundred ninety-four".