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12430302423040 = 21158913639289
BaseRepresentation
bin1011010011100010011111…
…0000101010100000000000
31122000022210011000001120201
42310320213300222200000
53112124224410014130
642234222504214544
72422026324163135
oct264704760524000
948008704001521
1012430302423040
113a6273072a127
1214890ab16a454
136c2231c5b958
1430d8b643058c
15168519c7ebca
hexb4e27c2a800

12430302423040 has 96 divisors (see below), whose sum is σ = 30160561977000. Its totient is φ = 4916254081024.

The previous prime is 12430302423029. The next prime is 12430302423053. The reversal of 12430302423040 is 4032420303421.

It can be written as a sum of positive squares in 4 ways, for example, as 5251503891456 + 7178798531584 = 2291616^2 + 2679328^2 .

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 7 ways as a sum of consecutive naturals, for example, 5908285 + ... + 7731004.

Almost surely, 212430302423040 is an apocalyptic number.

12430302423040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12430302423040 is an abundant number, since it is smaller than the sum of its proper divisors (17730259553960).

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

12430302423040 is an equidigital number, since it uses as much as digits as its factorization.

12430302423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13639405 (or 13639385 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 12430302423040 its reverse (4032420303421), we get a palindrome (16462722726461).

The spelling of 12430302423040 in words is "twelve trillion, four hundred thirty billion, three hundred two million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 256 320 356 445 512 640 712 890 1024 1280 1424 1780 2048 2560 2848 3560 5120 5696 7120 10240 11392 14240 22784 28480 45568 56960 91136 113920 182272 227840 455680 911360 13639289 27278578 54557156 68196445 109114312 136392890 218228624 272785780 436457248 545571560 872914496 1091143120 1213896721 1745828992 2182286240 2427793442 3491657984 4364572480 4855586884 6069483605 6983315968 8729144960 9711173768 12138967210 13966631936 17458289920 19422347536 24277934420 27933263872 34916579840 38844695072 48555868840 69833159680 77689390144 97111737680 139666319360 155378780288 194223475360 310757560576 388446950720 621515121152 776893901440 1243030242304 1553787802880 2486060484608 3107575605760 6215151211520 12430302423040