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10441124430 = 23511172776719
BaseRepresentation
bin10011011100101011…
…01110101001001110
3222221122211002002020
421232111232221032
5132340411440210
64444021311010
7516512044002
oct115625565116
928848732066
1010441124430
114478819360
122034865466
13ca51ca349
14710990702
15411996770
hex26e56ea4e

10441124430 has 128 divisors (see below), whose sum is σ = 29053624320. Its totient is φ = 2373335040.

The previous prime is 10441124423. The next prime is 10441124467. The reversal of 10441124430 is 3442114401.

It is a self number, because there is not a number n which added to its sum of digits gives 10441124430.

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 63 ways as a sum of consecutive naturals, for example, 1550611 + ... + 1557329.

It is an arithmetic number, because the mean of its divisors is an integer number (226981440).

Almost surely, 210441124430 is an apocalyptic number.

10441124430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10441124430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14526812160).

10441124430 is an abundant number, since it is smaller than the sum of its proper divisors (18612499890).

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

10441124430 is a wasteful number, since it uses less digits than its factorization.

10441124430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10441124430 its reverse (3442114401), we get a palindrome (13883238831).

The spelling of 10441124430 in words is "ten billion, four hundred forty-one million, one hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 277 330 374 510 554 561 831 935 1122 1385 1662 1870 2770 2805 3047 4155 4709 5610 6094 6719 8310 9141 9418 13438 14127 15235 18282 20157 23545 28254 30470 33595 40314 45705 47090 51799 67190 70635 73909 91410 100785 103598 114223 141270 147818 155397 201570 221727 228446 258995 310794 342669 369545 443454 517990 571115 685338 739090 776985 1108635 1142230 1256453 1553970 1713345 1861163 2217270 2512906 3426690 3722326 3769359 5583489 6282265 7538718 9305815 11166978 12564530 18611630 18846795 20472793 27917445 31639771 37693590 40945586 55834890 61418379 63279542 94919313 102363965 122836758 158198855 189838626 204727930 307091895 316397710 348037481 474596565 614183790 696074962 949193130 1044112443 1740187405 2088224886 3480374810 5220562215 10441124430