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1431492241344 = 26311677789887
BaseRepresentation
bin10100110101001011100…
…101100010011111000000
312001211221011012102010220
4110311023211202133000
5141423144003210334
63013341330423040
7205264466200524
oct24651345423700
95054834172126
101431492241344
11502102062330
121b1523a31a80
13a4cb21a58c9
144d3dacd7d84
1527382c9e449
hex14d4b9627c0

1431492241344 has 56 divisors (see below), whose sum is σ = 4131807157248. Its totient is φ = 433785527040.

The previous prime is 1431492241331. The next prime is 1431492241373. The reversal of 1431492241344 is 4431422941341.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1431492241296 and 1431492241305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338892832 + ... + 338897055.

Almost surely, 21431492241344 is an apocalyptic number.

It is an amenable number.

1431492241344 is an abundant number, since it is smaller than the sum of its proper divisors (2700314915904).

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

1431492241344 is a wasteful number, since it uses less digits than its factorization.

1431492241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677789913 (or 677789903 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 1431492241344 in words is "one trillion, four hundred thirty-one billion, four hundred ninety-two million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 677789887 1355579774 2033369661 2711159548 4066739322 5422319096 7455688757 8133478644 10844638192 14911377514 16266957288 21689276384 22367066271 29822755028 32533914576 43378552768 44734132542 59645510056 65067829152 89468265084 119291020112 130135658304 178936530168 238582040224 357873060336 477164080448 715746120672 1431492241344