Search a number
-
+
1406070169812 = 223372111923311783
BaseRepresentation
bin10100011101100000010…
…100000010000011010100
311222102022110002101001000
4110131200110002003110
5141014112430413222
62553534551303300
7203404505150100
oct24354024020324
94872273071030
101406070169812
114a2346a55760
121a860a07ab30
13a27903a0829
144c0a8882900
15268960089ac
hex147605020d4

1406070169812 has 1152 divisors, whose sum is σ = 5248077004800. Its totient is φ = 320092819200.

The previous prime is 1406070169799. The next prime is 1406070169841. The reversal of 1406070169812 is 2189610706041.

1406070169812 is a `hidden beast` number, since 1 + 406 + 0 + 7 + 0 + 169 + 81 + 2 = 666.

It is a super-2 number, since 2×14060701698122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 788597073 + ... + 788598855.

It is an arithmetic number, because the mean of its divisors is an integer number (4555622400).

Almost surely, 21406070169812 is an apocalyptic number.

1406070169812 is a gapful number since it is divisible by the number (12) 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 1406070169812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624038502400).

1406070169812 is an abundant number, since it is smaller than the sum of its proper divisors (3842006834988).

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

1406070169812 is a wasteful number, since it uses less digits than its factorization.

1406070169812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1406070169812 in words is "one trillion, four hundred six billion, seventy million, one hundred sixty-nine thousand, eight hundred twelve".