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1431300214432 = 25112292439541
BaseRepresentation
bin10100110101000000001…
…001000000111010100000
312001211102202212102202001
4110311000021000322200
5141422300323330212
63013310310533344
7205256645041354
oct24650011007240
95054382772661
101431300214432
11502013725700
121b148b667254
13a4c8148070a
144d3bd5cd464
1527370ebc657
hex14d40240ea0

1431300214432 has 108 divisors (see below), whose sum is σ = 3207825426078. Its totient is φ = 628155404800.

The previous prime is 1431300214387. The next prime is 1431300214439. The reversal of 1431300214432 is 2344120031341.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 917618389776 + 513681824656 = 957924^2 + 716716^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1431300214432.

It is not an unprimeable number, because it can be changed into a prime (1431300214439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3036582 + ... + 3476122.

Almost surely, 21431300214432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431300214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603912713039).

1431300214432 is an abundant number, since it is smaller than the sum of its proper divisors (1776525211646).

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

1431300214432 is a wasteful number, since it uses less digits than its factorization.

1431300214432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439631 (or 439583 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1431300214432 its reverse (2344120031341), we get a palindrome (3775420245773).

The spelling of 1431300214432 in words is "one trillion, four hundred thirty-one billion, three hundred million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 121 176 232 242 319 352 464 484 638 841 928 968 1276 1682 1936 2552 3364 3509 3872 5104 6728 7018 9251 10208 13456 14036 18502 26912 28072 37004 56144 74008 101761 112288 148016 203522 296032 407044 439541 814088 879082 1628176 1758164 3256352 3516328 4834951 7032656 9669902 12746689 14065312 19339804 25493378 38679608 50986756 53184461 77359216 101973512 106368922 140213579 154718432 203947024 212737844 280427158 369653981 407894048 425475688 560854316 739307962 850951376 1121708632 1478615924 1542349369 1701902752 2243417264 2957231848 3084698738 4066193791 4486834528 5914463696 6169397476 8132387582 11828927392 12338794952 16264775164 24677589904 32529550328 44728131701 49355179808 65059100656 89456263402 130118201312 178912526804 357825053608 715650107216 1431300214432