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12445024223445 = 35112347143948487
BaseRepresentation
bin1011010100011001010100…
…1111111000000011010101
31122001201210010200000011120
42311012111033320003111
53112344402200122240
642245055403354153
72423060205341052
oct265062517700325
948051703600146
1012445024223445
113a689a5807720
12148bb19522959
136c3739c70958
143104b1718029
15168acc43ead0
hexb51953f80d5

12445024223445 has 128 divisors (see below), whose sum is σ = 23165502750720. Its totient is φ = 5644763393280.

The previous prime is 12445024223407. The next prime is 12445024223447. The reversal of 12445024223445 is 54432242054421.

12445024223445 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12445024223445 - 26 = 12445024223381 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12445024223397 and 12445024223406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12445024223447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 256642992 + ... + 256691478.

It is an arithmetic number, because the mean of its divisors is an integer number (180980490240).

Almost surely, 212445024223445 is an apocalyptic number.

12445024223445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12445024223445 is a deficient number, since it is larger than the sum of its proper divisors (10720478527275).

12445024223445 is a wasteful number, since it uses less digits than its factorization.

12445024223445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50015.

The product of its (nonzero) digits is 1228800, while the sum is 42.

Adding to 12445024223445 its reverse (54432242054421), we get a palindrome (66877266277866).

The spelling of 12445024223445 in words is "twelve trillion, four hundred forty-five billion, twenty-four million, two hundred twenty-three thousand, four hundred forty-five".

Divisors: 1 3 5 11 15 23 33 47 55 69 115 141 165 235 253 345 517 705 759 1081 1265 1439 1551 2585 3243 3795 4317 5405 7195 7755 11891 15829 16215 21585 33097 35673 47487 48487 59455 67633 79145 99291 145461 165485 178365 202899 237435 242435 338165 364067 496455 533357 727305 743963 1014495 1092201 1115201 1555559 1600071 1820335 2231889 2278889 2666785 3345603 3719815 4666677 5461005 5576005 6836667 7777795 8000355 11159445 11394445 12267211 16728015 17111149 23333385 25067779 34183335 36801633 51333447 52414447 61336055 69772793 75203337 85555745 125338895 157243341 184008165 209318379 256667235 262072235 348863965 376016685 576558917 767500723 786216705 1046591895 1604774239 1729676751 2302502169 2882794585 3279321271 3837503615 4814322717 8023871195 8648383755 9837963813 11512510845 16396606355 17652516629 24071613585 36072533981 49189819065 52957549887 75424389233 88262583145 108217601943 180362669905 226273167699 264787749435 377121946165 541088009715 829668281563 1131365838495 2489004844689 4148341407815 12445024223445