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1431430000032 = 253853122314293
BaseRepresentation
bin10100110101000111111…
…000000110110110100000
312001211202211002020010010
4110311013320012312200
5141423032040000112
63013331224404520
7205263112150134
oct24650770066640
95054684066103
101431430000032
1150207aa1052a
121b1507016740
13a4ca2322726
144d3d29353c4
152737c5a763c
hex14d47e06da0

1431430000032 has 96 divisors (see below), whose sum is σ = 3765248178048. Its totient is φ = 476160961536.

The previous prime is 1431430000027. The next prime is 1431430000043. The reversal of 1431430000032 is 2300000341341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×14314300000322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1431429999963 and 1431430000008.

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 15 ways as a sum of consecutive naturals, for example, 100141878 + ... + 100156170.

It is an arithmetic number, because the mean of its divisors is an integer number (39221335188).

Almost surely, 21431430000032 is an apocalyptic number.

1431430000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1431430000032 is an abundant number, since it is smaller than the sum of its proper divisors (2333818178016).

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

1431430000032 is a wasteful number, since it uses less digits than its factorization.

1431430000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16382 (or 16374 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1431430000032 its reverse (2300000341341), we get a palindrome (3731430341373).

The spelling of 1431430000032 in words is "one trillion, four hundred thirty-one billion, four hundred thirty million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 853 1223 1706 2446 2559 3412 3669 4892 5118 6824 7338 9784 10236 13648 14293 14676 19568 20472 27296 28586 29352 39136 40944 42879 57172 58704 81888 85758 114344 117408 171516 228688 343032 457376 686064 1043219 1372128 2086438 3129657 4172876 6259314 8345752 12191929 12518628 16691504 17480339 24383858 25037256 33383008 34960678 36575787 48767716 50074512 52441017 69921356 73151574 97535432 100149024 104882034 139842712 146303148 195070864 209764068 279685424 292606296 390141728 419528136 559370848 585212592 839056272 1170425184 1678112544 14910729167 29821458334 44732187501 59642916668 89464375002 119285833336 178928750004 238571666672 357857500008 477143333344 715715000016 1431430000032