Search a number
-
+
1422438473664 = 2633131737100669
BaseRepresentation
bin10100101100101111111…
…100001001111111000000
312000222120011221100202000
4110230233330021333000
5141301123222124124
63005243105024000
7204524231350425
oct24545774117700
95028504840660
101422438473664
114a92864876aa
121ab817925000
13a419b54b320
144cbbc6c7d4c
15270030016c9
hex14b2ff09fc0

1422438473664 has 448 divisors, whose sum is σ = 4897200873600. Its totient is φ = 400790716416.

The previous prime is 1422438473633. The next prime is 1422438473773. The reversal of 1422438473664 is 4663748342241.

1422438473664 is a `hidden beast` number, since 1 + 4 + 224 + 384 + 7 + 36 + 6 + 4 = 666.

It is a super-2 number, since 2×14224384736642 (a number of 25 digits) contains 22 as substring.

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 1422438473664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14079522 + ... + 14180190.

It is an arithmetic number, because the mean of its divisors is an integer number (10931251950).

Almost surely, 21422438473664 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 1422438473664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448600436800).

1422438473664 is an abundant number, since it is smaller than the sum of its proper divisors (3474762399936).

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

1422438473664 is a wasteful number, since it uses less digits than its factorization.

1422438473664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100757 (or 100741 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 54.

The spelling of 1422438473664 in words is "one trillion, four hundred twenty-two billion, four hundred thirty-eight million, four hundred seventy-three thousand, six hundred sixty-four".