Search a number
-
+
1431315654012 = 2232208119105607
BaseRepresentation
bin10100110101000001000…
…011111010010101111100
312001211110211220211212100
4110311001003322111330
5141422313301412022
63013312021505100
7205260223214616
oct24650103722574
95054424824770
101431315654012
11502021410692
121b1494872190
13a4c8472816a
144d3c168bdb6
152737251c1ac
hex14d410fa57c

1431315654012 has 36 divisors (see below), whose sum is σ = 3619786702896. Its totient is φ = 476875925760.

The previous prime is 1431315654001. The next prime is 1431315654031. The reversal of 1431315654012 is 2104565131341.

1431315654012 is a `hidden beast` number, since 1 + 4 + 31 + 31 + 56 + 540 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×14313156540122 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9477888 + ... + 9627719.

It is an arithmetic number, because the mean of its divisors is an integer number (100549630636).

Almost surely, 21431315654012 is an apocalyptic number.

1431315654012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1431315654012 is an abundant number, since it is smaller than the sum of its proper divisors (2188471048884).

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

1431315654012 is a wasteful number, since it uses less digits than its factorization.

1431315654012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19107698 (or 19107693 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1431315654012 in words is "one trillion, four hundred thirty-one billion, three hundred fifteen million, six hundred fifty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2081 4162 6243 8324 12486 18729 24972 37458 74916 19105607 38211214 57316821 76422428 114633642 171950463 229267284 343900926 687801852 39758768167 79517536334 119276304501 159035072668 238552609002 357828913503 477105218004 715657827006 1431315654012