Search a number
-
+
12044225485446 = 23711411765936007
BaseRepresentation
bin1010111101000100001111…
…0010000001101010000110
31120122102020210010112121220
42233101003302001222012
53034313033211013241
641341012451421210
72352111064310610
oct257210362015206
946572223115556
1012044225485446
113923a22326680
1214263028b4806
136949c5001c9b
142d8d2d437db0
1515d47086d166
hexaf443c81a86

12044225485446 has 128 divisors (see below), whose sum is σ = 30767447531520. Its totient is φ = 3051810950400.

The previous prime is 12044225485337. The next prime is 12044225485447. The reversal of 12044225485446 is 64458452244021.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12044225485447) 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 63 ways as a sum of consecutive naturals, for example, 334478775 + ... + 334514781.

It is an arithmetic number, because the mean of its divisors is an integer number (240370683840).

Almost surely, 212044225485446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12044225485446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15383723765760).

12044225485446 is an abundant number, since it is smaller than the sum of its proper divisors (18723222046074).

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

12044225485446 is a wasteful number, since it uses less digits than its factorization.

12044225485446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53730.

The product of its (nonzero) digits is 9830400, while the sum is 51.

The spelling of 12044225485446 in words is "twelve trillion, forty-four billion, two hundred twenty-five million, four hundred eighty-five thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 41 42 66 77 82 123 154 231 246 287 451 462 574 861 902 1353 1722 2706 3157 6314 9471 17659 18942 35318 36007 52977 72014 105954 108021 123613 194249 216042 247226 252049 370839 388498 396077 504098 582747 724019 741678 756147 792154 1165494 1188231 1359743 1448038 1476287 1512294 2172057 2376462 2719486 2772539 2952574 4079229 4344114 4428861 5068133 5545078 7964209 8158458 8317617 8857722 10136266 10334009 15204399 15928418 16239157 16635234 20668018 23892627 30408798 31002027 32478314 47785254 48717471 55749463 62004054 97434942 111498926 113674099 167248389 227348198 334496778 341022297 635847613 682044594 1271695226 1907542839 3815085678 4450933291 6994323743 8901866582 13352799873 13988647486 20982971229 26069752133 26705599746 41965942458 48960266201 52139504266 78209256399 97920532402 146880798603 156418512798 182488264931 286767273463 293761597206 364976529862 547464794793 573534546926 860301820389 1094929589586 1720603640778 2007370914241 4014741828482 6022112742723 12044225485446