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1431310300032 = 27310734835239
BaseRepresentation
bin10100110101000000101…
…111011111001110000000
312001211110110211211120210
4110311000233133032000
5141422310414100112
63013311311034120
7205260126545424
oct24650057371600
95054413754523
101431310300032
11502019394108
121b1492b0b940
13a4c835a2222
144d3c0a96b84
1527371d10b3c
hex14d40bdf380

1431310300032 has 64 divisors (see below), whose sum is σ = 3837450038400. Its totient is φ = 472644509184.

The previous prime is 1431310299983. The next prime is 1431310300037. The reversal of 1431310300032 is 2300030131341.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1431310299981 and 1431310300008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431310300037) by changing a digit.

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, 17376532 + ... + 17458707.

It is an arithmetic number, because the mean of its divisors is an integer number (59960156850).

Almost surely, 21431310300032 is an apocalyptic number.

1431310300032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1431310300032 is an abundant number, since it is smaller than the sum of its proper divisors (2406139738368).

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

1431310300032 is a wasteful number, since it uses less digits than its factorization.

1431310300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34835363 (or 34835351 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1431310300032 its reverse (2300030131341), we get a palindrome (3731340431373).

The spelling of 1431310300032 in words is "one trillion, four hundred thirty-one billion, three hundred ten million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 642 856 1284 1712 2568 3424 5136 6848 10272 13696 20544 41088 34835239 69670478 104505717 139340956 209011434 278681912 418022868 557363824 836045736 1114727648 1672091472 2229455296 3344182944 3727370573 4458910592 6688365888 7454741146 11182111719 13376731776 14909482292 22364223438 29818964584 44728446876 59637929168 89456893752 119275858336 178913787504 238551716672 357827575008 477103433344 715655150016 1431310300032