Search a number
-
+
1431437079996 = 223671119421797
BaseRepresentation
bin10100110101001000010…
…011000111010110111100
312001211210022101221000000
4110311020103013112330
5141423040343024441
63013332040234300
7205263226265340
oct24651023072674
95054708357000
101431437079996
11502083a06840
121b150946b990
13a4ca3931161
144d3d3859620
152737d0052b6
hex14d484c75bc

1431437079996 has 672 divisors, whose sum is σ = 4946918699520. Its totient is φ = 350955763200.

The previous prime is 1431437079983. The next prime is 1431437079997. The reversal of 1431437079996 is 6999707341341.

1431437079996 is a `hidden beast` number, since 1 + 43 + 1 + 437 + 0 + 79 + 9 + 96 = 666.

It is a super-2 number, since 2×14314370799962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431437079997) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1796031070 + ... + 1796031866.

It is an arithmetic number, because the mean of its divisors is an integer number (7361486160).

Almost surely, 21431437079996 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 1431437079996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473459349760).

1431437079996 is an abundant number, since it is smaller than the sum of its proper divisors (3515481619524).

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

1431437079996 is a wasteful number, since it uses less digits than its factorization.

1431437079996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 1431437079996 in words is "one trillion, four hundred thirty-one billion, four hundred thirty-seven million, seventy-nine thousand, nine hundred ninety-six".