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1431411012432 = 243247211496899
BaseRepresentation
bin10100110101000110101…
…111101011001101010000
312001211201111100120000200
4110311012233223031100
5141423012204344212
63013325305415200
7205262461565532
oct24650657531520
95054644316020
101431411012432
115020702218a5
121b150079a500
13a4c9b40506b
144d3d01d1852
152737aaa66dc
hex14d46beb350

1431411012432 has 60 divisors (see below), whose sum is σ = 4091196033600. Its totient is φ = 466985150784.

The previous prime is 1431411012377. The next prime is 1431411012487. The reversal of 1431411012432 is 2342101141341.

It is a happy number.

1431411012432 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 411 + 0 + 1 + 243 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1431411012377) and next prime (1431411012487).

It is a junction number, because it is equal to n+sod(n) for n = 1431411012396 and 1431411012405.

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, 105741682 + ... + 105755217.

It is an arithmetic number, because the mean of its divisors is an integer number (68186600560).

Almost surely, 21431411012432 is an apocalyptic number.

1431411012432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1431411012432 is an abundant number, since it is smaller than the sum of its proper divisors (2659785021168).

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

1431411012432 is a wasteful number, since it uses less digits than its factorization.

1431411012432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211496960 (or 211496951 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1431411012432 its reverse (2342101141341), we get a palindrome (3773512153773).

The spelling of 1431411012432 in words is "one trillion, four hundred thirty-one billion, four hundred eleven million, twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 211496899 422993798 634490697 845987596 1268981394 1691975192 1903472091 2537962788 3383950384 3806944182 5075925576 7613888364 9940354253 10151851152 15227776728 19880708506 29821062759 30455553456 39761417012 59642125518 79522834024 89463188277 119284251036 159045668048 178926376554 238568502072 357852753108 477137004144 715705506216 1431411012432