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10434330401334 = 2377091111331531
BaseRepresentation
bin1001011111010110111010…
…0011101001101000110110
31100221111211102111201001220
42113311232203221220312
52331424002040320314
634105244252531210
72124566302010040
oct227655643515066
940844742451056
1010434330401334
1133631a1542024
1212062b0180b06
135a8c510639b8
1428104a8d8a90
1513164a7023a9
hex97d6e8e9a36

10434330401334 has 64 divisors (see below), whose sum is σ = 23886443527680. Its totient is φ = 2976670114560.

The previous prime is 10434330401311. The next prime is 10434330401389. The reversal of 10434330401334 is 43310403343401.

It is a junction number, because it is equal to n+sod(n) for n = 10434330401295 and 10434330401304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330907149 + ... + 330938679.

It is an arithmetic number, because the mean of its divisors is an integer number (373225680120).

Almost surely, 210434330401334 is an apocalyptic number.

10434330401334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10434330401334 is an abundant number, since it is smaller than the sum of its proper divisors (13452113126346).

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

10434330401334 is a wasteful number, since it uses less digits than its factorization.

10434330401334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43365.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 10434330401334 its reverse (43310403343401), we get a palindrome (53744733744735).

The spelling of 10434330401334 in words is "ten trillion, four hundred thirty-four billion, three hundred thirty million, four hundred one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 709 1418 2127 4254 4963 9926 11113 14889 22226 29778 31531 33339 63062 66678 77791 94593 155582 189186 220717 233373 441434 466746 662151 1324302 7879117 15758234 22355479 23637351 44710958 47274702 55153819 67066437 110307638 134132874 156488353 165461457 312976706 330922914 350404003 469465059 700808006 938930118 1051212009 2102424018 2452828021 4905656042 7358484063 14716968126 248436438127 496872876254 745309314381 1490618628762 1739055066889 3478110133778 5217165200667 10434330401334