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44120331030 = 23517434094919
BaseRepresentation
bin101001000101110001…
…101101001100010110
311012212211012001002110
4221011301231030112
51210324301043110
632134003451450
73121225424466
oct510561551426
9135784161073
1044120331030
111779085a7a6
128673986b86
1342118b5769
1421c78c5ba6
1512335caa20
hexa45c6d316

44120331030 has 128 divisors (see below), whose sum is σ = 115028812800. Its totient is φ = 10787180544.

The previous prime is 44120331019. The next prime is 44120331067. The reversal of 44120331030 is 3013302144.

It is a super-2 number, since 2×441203310302 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44120330988 and 44120331006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8966911 + ... + 8971829.

It is an arithmetic number, because the mean of its divisors is an integer number (898662600).

Almost surely, 244120331030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44120331030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57514406400).

44120331030 is an abundant number, since it is smaller than the sum of its proper divisors (70908481770).

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

44120331030 is a wasteful number, since it uses less digits than its factorization.

44120331030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5398.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 44120331030 its reverse (3013302144), we get a palindrome (47133633174).

The spelling of 44120331030 in words is "forty-four billion, one hundred twenty million, three hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 43 51 85 86 102 129 170 215 255 258 409 430 510 645 731 818 1227 1290 1462 2045 2193 2454 3655 4090 4386 4919 6135 6953 7310 9838 10965 12270 13906 14757 17587 20859 21930 24595 29514 34765 35174 41718 49190 52761 69530 73785 83623 87935 104295 105522 147570 167246 175870 208590 211517 250869 263805 298979 418115 423034 501738 527610 597958 634551 836230 896937 1057585 1254345 1269102 1494895 1793874 2011871 2115170 2508690 2989790 3172755 3595789 4023742 4484685 6035613 6345510 7191578 8969370 10059355 10787367 12071226 17978945 20118710 21574734 30178065 34201807 35957890 53936835 60356130 68403614 86510453 102605421 107873670 171009035 173020906 205210842 259531359 342018070 432552265 513027105 519062718 865104530 1026054210 1297656795 1470677701 2595313590 2941355402 4412033103 7353388505 8824066206 14706777010 22060165515 44120331030