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10430043414 = 237793479059
BaseRepresentation
bin10011011011010110…
…11101010100010110
3222220212222002210020
421231223131110112
5132330042342124
64442544010010
7516315622560
oct115553352426
928825862706
1010430043414
11447253aa9a
122031000906
13ca2b1a72b
1470d308330
15410a08379
hex26dadd516

10430043414 has 64 divisors (see below), whose sum is σ = 24214118400. Its totient is φ = 2933487648.

The previous prime is 10430043409. The next prime is 10430043431. The reversal of 10430043414 is 41434003401.

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1146817 + ... + 1155875.

It is an arithmetic number, because the mean of its divisors is an integer number (378345600).

Almost surely, 210430043414 is an apocalyptic number.

10430043414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10430043414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12107059200).

10430043414 is an abundant number, since it is smaller than the sum of its proper divisors (13784074986).

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

10430043414 is a wasteful number, since it uses less digits than its factorization.

10430043414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9497.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10430043414 its reverse (41434003401), we get a palindrome (51864046815).

The spelling of 10430043414 in words is "ten billion, four hundred thirty million, forty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 79 158 237 347 474 553 694 1041 1106 1659 2082 2429 3318 4858 7287 9059 14574 18118 27177 27413 54354 54826 63413 82239 126826 164478 190239 191891 380478 383782 575673 715661 1151346 1431322 2146983 3143473 4293966 5009627 6286946 9430419 10019254 15028881 18860838 22004311 30057762 44008622 66012933 132025866 248334367 496668734 745003101 1490006202 1738340569 3476681138 5215021707 10430043414