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44410002121144 = 231147127353239509
BaseRepresentation
bin10100001100100000000100…
…11001101010000110111000
312211020112222101221111000201
422012100002121222012320
521310103141020334034
6234241401234411544
712232342152425662
oct1206200231520670
9184215871844021
1044410002121144
11131721a3481760
124b92b57a30bb4
131ba1acac822ba
14ad7654133532
1552031574c014
hex28640266a1b8

44410002121144 has 128 divisors (see below), whose sum is σ = 93767130316800. Its totient is φ = 19545692221440.

The previous prime is 44410002121033. The next prime is 44410002121153. The reversal of 44410002121144 is 44112120001444.

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 31 ways as a sum of consecutive naturals, for example, 185301262 + ... + 185540770.

It is an arithmetic number, because the mean of its divisors is an integer number (732555705600).

Almost surely, 244410002121144 is an apocalyptic number.

44410002121144 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 44410002121144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46883565158400).

44410002121144 is an abundant number, since it is smaller than the sum of its proper divisors (49357128195656).

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

44410002121144 is a wasteful number, since it uses less digits than its factorization.

44410002121144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240053 (or 240049 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 44410002121144 its reverse (44112120001444), we get a palindrome (88522122122588).

The spelling of 44410002121144 in words is "forty-four trillion, four hundred ten billion, two million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 47 88 94 127 188 254 353 376 508 517 706 1016 1034 1397 1412 2068 2794 2824 3883 4136 5588 5969 7766 11176 11938 15532 16591 23876 31064 33182 44831 47752 65659 66364 89662 131318 132728 179324 182501 239509 262636 358648 365002 479018 493141 525272 730004 958036 986282 1460008 1916072 1972564 2107057 2634599 3945128 4214114 5269198 8428228 10538396 11256923 16856456 21076792 22513846 23177627 30417643 45027692 46355254 60835286 84546677 90055384 92710508 121670572 123826153 169093354 185421016 243341144 247652306 334594073 338186708 495304612 669188146 676373416 930013447 990609224 1338376292 1429629221 1860026894 2676752584 2859258442 3720053788 3973693819 5718516884 7440107576 7947387638 10737427979 11437033768 15725921431 15894775276 21474855958 31451842862 31789550552 42949711916 43710632009 62903685724 85899423832 87421264018 118111707769 125807371448 174842528036 236223415538 349685056072 472446831076 504659115013 944893662152 1009318230026 2018636460052 4037272920104 5551250265143 11102500530286 22205001060572 44410002121144