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4123413343044 = 22326731133116607
BaseRepresentation
bin111100000000001110100…
…101100110101101000100
3112121012020202200002211100
4330000032211212231010
51020024222303434134
612434134150140100
7603623012055012
oct74001645465504
915535222602740
104123413343044
11134a803375956
1256718a951630
1323bab41cacc8
14103807b278b2
15723d5951999
hex3c00e966b44

4123413343044 has 144 divisors (see below), whose sum is σ = 10645359169536. Its totient is φ = 1345444689600.

The previous prime is 4123413343039. The next prime is 4123413343103. The reversal of 4123413343044 is 4403433143214.

4123413343044 is a `hidden beast` number, since 4 + 1 + 2 + 341 + 3 + 3 + 4 + 304 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248285389 + ... + 248301995.

It is an arithmetic number, because the mean of its divisors is an integer number (73926105344).

Almost surely, 24123413343044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123413343044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322679584768).

4123413343044 is an abundant number, since it is smaller than the sum of its proper divisors (6521945826492).

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

4123413343044 is a wasteful number, since it uses less digits than its factorization.

4123413343044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17326 (or 17321 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 4123413343044 its reverse (4403433143214), we get a palindrome (8526846486258).

The spelling of 4123413343044 in words is "four trillion, one hundred twenty-three billion, four hundred thirteen million, three hundred forty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 311 331 402 603 622 662 804 933 993 1206 1244 1324 1866 1986 2412 2799 2979 3732 3972 5598 5958 11196 11916 16607 20837 22177 33214 41674 44354 49821 62511 66428 66531 83348 88708 99642 102941 125022 133062 149463 187533 199284 199593 205882 250044 266124 298926 308823 375066 399186 411764 597852 617646 750132 798372 926469 1112669 1235292 1852938 2225338 3338007 3705876 4450676 5164777 5496917 6676014 6897047 10014021 10329554 10993834 13352028 13794094 15494331 16490751 20028042 20659108 20691141 21987668 27588188 30988662 32981502 40056084 41382282 46482993 49472253 61977324 62073423 65963004 82764564 92965986 98944506 124146846 185931972 197889012 248293692 346040059 368293439 692080118 736586878 1038120177 1104880317 1384160236 1473173756 1709541187 2076240354 2209760634 3114360531 3314640951 3419082374 4152480708 4419521268 5128623561 6228721062 6629281902 6838164748 10257247122 12457442124 13258563804 15385870683 20514494244 30771741366 61543482732 114539259529 229078519058 343617778587 458157038116 687235557174 1030853335761 1374471114348 2061706671522 4123413343044