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44030111424 = 2631335334993
BaseRepresentation
bin101001000000011001…
…100010111011000000
311012122112102102001120
4221000121202323000
51210133202031144
632121022032240
73116051525535
oct510031427300
9135575372046
1044030111424
1117744939442
128649718680
1341c8cb7890
1421b991cd8c
15122a708e19
hexa40662ec0

44030111424 has 112 divisors (see below), whose sum is σ = 125518237152. Its totient is φ = 13541179392.

The previous prime is 44030111423. The next prime is 44030111443. The reversal of 44030111424 is 42411103044.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 44030111394 and 44030111403.

It is not an unprimeable number, because it can be changed into a prime (44030111423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8815872 + ... + 8820864.

It is an arithmetic number, because the mean of its divisors is an integer number (1120698546).

Almost surely, 244030111424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44030111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62759118576).

44030111424 is an abundant number, since it is smaller than the sum of its proper divisors (81488125728).

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

44030111424 is a wasteful number, since it uses less digits than its factorization.

44030111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8554 (or 8544 counting only the distinct ones).

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

Adding to 44030111424 its reverse (42411103044), we get a palindrome (86441214468).

It can be divided in two parts, 440301 and 11424, that added together give a triangular number (451725 = T950).

The spelling of 44030111424 in words is "forty-four billion, thirty million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 3533 4993 7066 9986 10599 14132 14979 19972 21198 28264 29958 39944 42396 45929 56528 59916 64909 79888 84792 91858 113056 119832 129818 137787 159776 169584 183716 194727 226112 239664 259636 275574 319552 339168 367432 389454 479328 519272 551148 678336 734864 778908 958656 1038544 1102296 1469728 1557816 2077088 2204592 2939456 3115632 4154176 4409184 6231264 8818368 12462528 17640269 35280538 52920807 70561076 105841614 141122152 211683228 229323497 282244304 423366456 458646994 564488608 687970491 846732912 917293988 1128977216 1375940982 1693465824 1834587976 2751881964 3386931648 3669175952 5503763928 7338351904 11007527856 14676703808 22015055712 44030111424