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44544211244544 = 293114361311073
BaseRepresentation
bin10100010000011010000011…
…11000110101011000000000
312211201101101200002100110210
422020031001320311120000
521314303021034311134
6234423154513554120
712245133036233064
oct1210150170653000
9184641350070423
1044544211244544
1113214103a89570
124bb4b72275940
131bb1668ba839b
14addd4662baa4
15523a6cd932e9
hex288341e35600

44544211244544 has 160 divisors (see below), whose sum is σ = 132467235018624. Its totient is φ = 13184332922880.

The previous prime is 44544211244531. The next prime is 44544211244549.

It is a happy number.

44544211244544 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 44544211244493 and 44544211244502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44544211244549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29929009 + ... + 31382064.

Almost surely, 244544211244544 is an apocalyptic number.

44544211244544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44544211244544 is an abundant number, since it is smaller than the sum of its proper divisors (87923023774080).

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

44544211244544 is a wasteful number, since it uses less digits than its factorization.

44544211244544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61311148 (or 61311132 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 48.

It can be divided in two parts, 4454421 and 1244544, that added together give a palindrome (5698965).

The spelling of 44544211244544 in words is "forty-four trillion, five hundred forty-four billion, two hundred eleven million, two hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 128 129 132 172 176 192 256 258 264 344 352 384 473 512 516 528 688 704 768 946 1032 1056 1376 1408 1419 1536 1892 2064 2112 2752 2816 2838 3784 4128 4224 5504 5632 5676 7568 8256 8448 11008 11352 15136 16512 16896 22016 22704 30272 33024 45408 60544 66048 90816 121088 181632 242176 363264 726528 61311073 122622146 183933219 245244292 367866438 490488584 674421803 735732876 980977168 1348843606 1471465752 1961954336 2023265409 2636376139 2697687212 2942931504 3923908672 4046530818 5272752278 5395374424 5885863008 7847817344 7909128417 8093061636 10545504556 10790748848 11771726016 15695634688 15818256834 16186123272 21091009112 21581497696 23543452032 29000137529 31391269376 31636513668 32372246544 42182018224 43162995392 47086904064 58000275058 63273027336 64744493088 84364036448 86325990784 87000412587 94173808128 116000550116 126546054672 129488986176 168728072896 172651981568 174000825174 232001100232 253092109344 258977972352 337456145792 345303963136 348001650348 464002200464 506184218688 517955944704 674912291584 696003300696 928004400928 1012368437376 1035911889408 1349824583168 1392006601392 1856008801856 2024736874752 2784013202784 3712017603712 4049473749504 5568026405568 7424035207424 11136052811136 14848070414848 22272105622272 44544211244544