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44544344344544 = 25112111721348487
BaseRepresentation
bin10100010000011010010011…
…10100100100011111100000
312211201101201221112112100102
422020031021310210133200
521314303304123011134
6234423220030441532
712245136243454532
oct1210151164443740
9184641657475312
1044544344344544
1113214172128570
124bb4baa9632a8
131bb168a63ab95
14addd5a197852
15523a798d537e
hex288349d247e0

44544344344544 has 96 divisors (see below), whose sum is σ = 96178639963392. Its totient is φ = 20139702912000.

The previous prime is 44544344344531. The next prime is 44544344344559.

44544344344544 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×445443443445442 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44544344344544.

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 15 ways as a sum of consecutive naturals, for example, 127647869 + ... + 127996355.

It is an arithmetic number, because the mean of its divisors is an integer number (1001860832952).

Almost surely, 244544344344544 is an apocalyptic number.

44544344344544 is a gapful number since it is divisible by the number (44) 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 44544344344544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48089319981696).

44544344344544 is an abundant number, since it is smaller than the sum of its proper divisors (51634295618848).

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

44544344344544 is a wasteful number, since it uses less digits than its factorization.

44544344344544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350440 (or 350432 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 56.

It can be divided in two parts, 4454434 and 4344544, that added together give a palindrome (8798978).

The spelling of 44544344344544 in words is "forty-four trillion, five hundred forty-four billion, three hundred forty-four million, three hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 211 352 422 844 1688 1721 2321 3376 3442 4642 6752 6884 9284 13768 18568 18931 27536 37136 37862 55072 74272 75724 151448 302896 348487 363131 605792 696974 726262 1393948 1452524 2787896 2905048 3833357 3994441 5575792 5810096 7666714 7988882 11151584 11620192 15333428 15977764 30666856 31955528 61333712 63911056 73530757 122667424 127822112 147061514 294123028 588246056 599746127 808838327 1176492112 1199492254 1617676654 2352984224 2398984508 3235353308 4797969016 6470706616 6597207397 9595938032 12941413232 13194414794 19191876064 25882826464 26388829588 52777659176 105555318352 126546432797 211110636704 253092865594 506185731188 1012371462376 1392010760767 2024742924752 2784021521534 4049485849504 5568043043068 11136086086136 22272172172272 44544344344544