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1431668070040 = 235134364028089
BaseRepresentation
bin10100110101010110000…
…100010001011010011000
312001212101102001102202211
4110311112010101122120
5141424024011220130
63013411011204504
7205302032543605
oct24652604213230
95055342042684
101431668070040
11502192335aaa
121b15728a6734
13a500c748c60
144d4163c76ac
1527393431a2a
hex14d56111698

1431668070040 has 64 divisors (see below), whose sum is σ = 3549717309600. Its totient is φ = 516322501632.

The previous prime is 1431668070017. The next prime is 1431668070061. The reversal of 1431668070040 is 400708661341.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1431668069975 and 1431668070002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31991685 + ... + 32036404.

Almost surely, 21431668070040 is an apocalyptic number.

1431668070040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1431668070040 is an abundant number, since it is smaller than the sum of its proper divisors (2118049239560).

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

1431668070040 is a wasteful number, since it uses less digits than its factorization.

1431668070040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64028156 (or 64028152 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 1431668070040 in words is "one trillion, four hundred thirty-one billion, six hundred sixty-eight million, seventy thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 520 559 860 1118 1720 2236 2795 4472 5590 11180 22360 64028089 128056178 256112356 320140445 512224712 640280890 832365157 1280561780 1664730314 2561123560 2753207827 3329460628 4161825785 5506415654 6658921256 8323651570 11012831308 13766039135 16647303140 22025662616 27532078270 33294606280 35791701751 55064156540 71583403502 110128313080 143166807004 178958508755 286333614008 357917017510 715834035020 1431668070040