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44005113525440 = 2654110873085601
BaseRepresentation
bin10100000000101101111010…
…01010001111010011000000
312202210211220000121201102202
422000112331022033103000
521231434433030303230
6233331400422532332
712161156510231234
oct1200267512172300
9182724800551382
1044005113525440
1113026511413021
124b2859b5970a8
131b728838bc9a2
14ac1c049cc5c4
15514a19aa5a45
hex2805bd28f4c0

44005113525440 has 112 divisors (see below), whose sum is σ = 107441747771904. Its totient is φ = 17156923392000.

The previous prime is 44005113525403. The next prime is 44005113525449. The reversal of 44005113525440 is 4452531150044.

It is a junction number, because it is equal to n+sod(n) for n = 44005113525394 and 44005113525403.

It is not an unprimeable number, because it can be changed into a prime (44005113525449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12718640 + ... + 15804240.

It is an arithmetic number, because the mean of its divisors is an integer number (959301319392).

Almost surely, 244005113525440 is an apocalyptic number.

44005113525440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44005113525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53720873885952).

44005113525440 is an abundant number, since it is smaller than the sum of its proper divisors (63436634246464).

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

44005113525440 is a wasteful number, since it uses less digits than its factorization.

44005113525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086746 (or 3086736 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

Adding to 44005113525440 its reverse (4452531150044), we get a palindrome (48457644675484).

The spelling of 44005113525440 in words is "forty-four trillion, five billion, one hundred thirteen million, five hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1087 1312 1640 2174 2624 3280 4348 5435 6560 8696 10870 13120 17392 21740 34784 43480 44567 69568 86960 89134 173920 178268 222835 347840 356536 445670 713072 891340 1426144 1782680 2852288 3085601 3565360 6171202 7130720 12342404 14261440 15428005 24684808 30856010 49369616 61712020 98739232 123424040 126509641 197478464 246848080 253019282 493696160 506038564 632548205 987392320 1012077128 1265096410 2024154256 2530192820 3354048287 4048308512 5060385640 6708096574 8096617024 10120771280 13416193148 16770241435 20241542560 26832386296 33540482870 40483085120 53664772592 67080965740 107329545184 134161931480 137515979767 214659090368 268323862960 275031959534 536647725920 550063919068 687579898835 1073295451840 1100127838136 1375159797670 2200255676272 2750319595340 4400511352544 5500639190680 8801022705088 11001278381360 22002556762720 44005113525440