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44111123430 = 235111072395227
BaseRepresentation
bin101001000101001110…
…100101001111100110
311012212011212020122020
4221011032211033212
51210314421422210
632133034244010
73121054235253
oct510516451746
9135764766566
1044111123430
1117786640a10
128670886606
13420ca1078a
1421c65aa42a
1512328ac770
hexa453a53e6

44111123430 has 128 divisors (see below), whose sum is σ = 117080432640. Its totient is φ = 10547322240.

The previous prime is 44111123417. The next prime is 44111123437. The reversal of 44111123430 is 3432111144.

44111123430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 44111123430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44111123437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8436477 + ... + 8441703.

It is an arithmetic number, because the mean of its divisors is an integer number (914690880).

Almost surely, 244111123430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44111123430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58540216320).

44111123430 is an abundant number, since it is smaller than the sum of its proper divisors (72969309210).

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

44111123430 is a wasteful number, since it uses less digits than its factorization.

44111123430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5594.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 44111123430 its reverse (3432111144), we get a palindrome (47543234574).

The spelling of 44111123430 in words is "forty-four billion, one hundred eleven million, one hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 107 110 165 214 239 321 330 478 535 642 717 1070 1177 1195 1434 1605 2354 2390 2629 3210 3531 3585 5227 5258 5885 7062 7170 7887 10454 11770 13145 15681 15774 17655 25573 26135 26290 31362 35310 39435 51146 52270 57497 76719 78405 78870 114994 127865 153438 156810 172491 255730 281303 287485 344982 383595 559289 562606 574970 767190 843909 862455 1118578 1249253 1406515 1677867 1687818 1724910 2498506 2796445 2813030 3355734 3747759 4219545 5592890 6152179 6246265 7495518 8389335 8439090 12304358 12492530 13741783 16778670 18456537 18738795 27483566 30760895 36913074 37477590 41225349 61521790 68708915 82450698 92282685 133670071 137417830 184565370 206126745 267340142 401010213 412253490 668350355 802020426 1336700710 1470370781 2005051065 2940741562 4010102130 4411112343 7351853905 8822224686 14703707810 22055561715 44111123430