Search a number
-
+
1415411255016 = 23321116329093769
BaseRepresentation
bin10100100110001101000…
…101011100011011101000
312000022102102222122222200
4110212031011130123220
5141142230240130031
63002121515220200
7204155132105463
oct24461505343350
95008372878880
101415411255016
114a62aa832290
121aa396447660
13a361b705395
144c7132c42da
1526c4110c8e6
hex1498d15c6e8

1415411255016 has 192 divisors, whose sum is σ = 4210115832000. Its totient is φ = 426021534720.

The previous prime is 1415411254997. The next prime is 1415411255059. The reversal of 1415411255016 is 6105521145141.

1415411255016 is a `hidden beast` number, since 1 + 41 + 5 + 41 + 12 + 550 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375538380 + ... + 375542148.

It is an arithmetic number, because the mean of its divisors is an integer number (21927686625).

Almost surely, 21415411255016 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 1415411255016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105057916000).

1415411255016 is an abundant number, since it is smaller than the sum of its proper divisors (2794704576984).

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

1415411255016 is a wasteful number, since it uses less digits than its factorization.

1415411255016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6864 (or 6857 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 1415411255016 in words is "one trillion, four hundred fifteen billion, four hundred eleven million, two hundred fifty-five thousand, sixteen".