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120441505044 = 22373741223053
BaseRepresentation
bin111000000101011011…
…1111000010100010100
3102111212202221101120010
41300022313320110110
53433131011130134
6131155143240220
711462436621060
oct1601267702424
9374782841503
10120441505044
11470960a9423
121b413749070
13b4857cb563
145b87c32aa0
1531edb16ce9
hex1c0adf8514

120441505044 has 144 divisors (see below), whose sum is σ = 338114021504. Its totient is φ = 32663761920.

The previous prime is 120441505043. The next prime is 120441505069. The reversal of 120441505044 is 440505144021.

It is a super-2 number, since 2×1204415050442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120441505043) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5213022 + ... + 5236074.

Almost surely, 2120441505044 is an apocalyptic number.

120441505044 is a gapful number since it is divisible by the number (14) 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 120441505044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169057010752).

120441505044 is an abundant number, since it is smaller than the sum of its proper divisors (217672516460).

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

120441505044 is a wasteful number, since it uses less digits than its factorization.

120441505044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23186 (or 23143 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 120441505044 its reverse (440505144021), we get a palindrome (560946649065).

The spelling of 120441505044 in words is "one hundred twenty billion, four hundred forty-one million, five hundred five thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 41 42 74 82 84 111 123 148 164 222 246 259 287 444 492 518 574 777 861 1036 1148 1517 1554 1681 1722 3034 3108 3362 3444 4551 5043 6068 6724 9102 10086 10619 11767 18204 20172 21238 23053 23534 31857 35301 42476 46106 47068 62197 63714 69159 70602 92212 124394 127428 138318 141204 161371 186591 248788 276636 322742 373182 435379 484113 645484 746364 852961 870758 945173 968226 1306137 1705922 1741516 1890346 1936452 2558883 2612274 2835519 3411844 3780692 5117766 5224548 5671038 5970727 6616211 10235532 11342076 11941454 13232422 17912181 19848633 23882908 26464844 34971401 35824362 38752093 39697266 69942802 71648724 77504186 79394532 104914203 116256279 139885604 155008372 209828406 232512558 244799807 271264651 419656812 465025116 489599614 542529302 734399421 813793953 979199228 1085058604 1433827441 1468798842 1627587906 2867654882 2937597684 3255175812 4301482323 5735309764 8602964646 10036792087 17205929292 20073584174 30110376261 40147168348 60220752522 120441505044