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10434340444 = 22111753263201
BaseRepresentation
bin10011011011110111…
…10110011001011100
3222221012001102012111
421231323312121130
5132332142343234
64443220043404
7516400300423
oct115573663134
928835042174
1010434340444
114474a05460
122032533564
13ca3993558
1470db062ba
154110a6664
hex26def665c

10434340444 has 48 divisors (see below), whose sum is σ = 21489916896. Its totient is φ = 4379648000.

The previous prime is 10434340403. The next prime is 10434340457. The reversal of 10434340444 is 44404343401.

It is a super-3 number, since 3×104343404443 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91957 + ... + 171244.

It is an arithmetic number, because the mean of its divisors is an integer number (447706602).

Almost surely, 210434340444 is an apocalyptic number.

It is an amenable number.

10434340444 is an abundant number, since it is smaller than the sum of its proper divisors (11055576452).

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

10434340444 is a wasteful number, since it uses less digits than its factorization.

10434340444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263286 (or 263284 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 10434340444 its reverse (44404343401), we get a palindrome (54838683845).

The spelling of 10434340444 in words is "ten billion, four hundred thirty-four million, three hundred forty thousand, four hundred forty-four".

Divisors: 1 2 4 11 17 22 34 44 53 68 106 187 212 374 583 748 901 1166 1802 2332 3604 9911 19822 39644 263201 526402 1052804 2895211 4474417 5790422 8948834 11580844 13949653 17897668 27899306 49218587 55798612 98437174 153446183 196874348 237144101 306892366 474288202 613784732 948576404 2608585111 5217170222 10434340444