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10034304004326 = 2372312334725223
BaseRepresentation
bin1001001000000100101100…
…1000000011000011100110
31022112021021220021020012010
42102001023020003003212
52303400223311114301
633201410130535050
72053645256514600
oct222011310030346
938467256236163
1010034304004326
113219585020218
121160870137486
1357a300112634
1426993d024170
151260368425d6
hex9204b2030e6

10034304004326 has 96 divisors (see below), whose sum is σ = 24201614481408. Its totient is φ = 2762553790080.

The previous prime is 10034304004279. The next prime is 10034304004327. The reversal of 10034304004326 is 62340040343001.

It is a junction number, because it is equal to n+sod(n) for n = 10034304004293 and 10034304004302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034304004327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239050 + ... + 4486173.

It is an arithmetic number, because the mean of its divisors is an integer number (252100150848).

Almost surely, 210034304004326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10034304004326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12100807240704).

10034304004326 is an abundant number, since it is smaller than the sum of its proper divisors (14167310477082).

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

10034304004326 is a wasteful number, since it uses less digits than its factorization.

10034304004326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725506 (or 4725499 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 10034304004326 its reverse (62340040343001), we get a palindrome (72374344347327).

The spelling of 10034304004326 in words is "ten trillion, thirty-four billion, three hundred four million, four thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 233 294 434 466 651 699 1302 1398 1519 1631 3038 3262 4557 4893 7223 9114 9786 11417 14446 21669 22834 34251 43338 50561 68502 101122 151683 303366 353927 707854 1061781 2123562 4725223 9450446 14175669 28351338 33076561 66153122 99229683 146481913 198459366 231535927 292963826 439445739 463071854 694607781 878891478 1025373391 1100976959 1389215562 2050746782 2201953918 3076120173 3302930877 6152240346 6605861754 7177613737 7706838713 14355227474 15413677426 21532841211 23120516139 34130285729 43065682422 46241032278 53947870991 68260571458 102390857187 107895741982 161843612973 204781714374 238912000103 323687225946 477824000206 716736000309 1433472000618 1672384000721 3344768001442 5017152002163 10034304004326