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15305541413412 = 22341107673432001
BaseRepresentation
bin1101111010111001100101…
…0110111110101000100100
32000012012021111102101010110
43132232121112332220210
54001231222100212122
652315134010253020
73136534404306255
oct336563126765044
960165244371113
1015305541413412
114971053127788
121872396a27170
138703ca102023
143acb13970b2c
151b81eb57390c
hexdeb995bea24

15305541413412 has 96 divisors (see below), whose sum is σ = 36980836550784. Its totient is φ = 4923555840000.

The previous prime is 15305541413401. The next prime is 15305541413413. The reversal of 15305541413412 is 21431414550351.

It is not an unprimeable number, because it can be changed into a prime (15305541413413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35213412 + ... + 35645412.

It is an arithmetic number, because the mean of its divisors is an integer number (385217047404).

Almost surely, 215305541413412 is an apocalyptic number.

15305541413412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15305541413412 is an abundant number, since it is smaller than the sum of its proper divisors (21675295137372).

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

15305541413412 is a wasteful number, since it uses less digits than its factorization.

15305541413412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432829 (or 432827 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

Adding to 15305541413412 its reverse (21431414550351), we get a palindrome (36736955963763).

The spelling of 15305541413412 in words is "fifteen trillion, three hundred five billion, five hundred forty-one million, four hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 41 82 107 123 164 214 246 321 428 492 642 673 1284 1346 2019 2692 4038 4387 8076 8774 13161 17548 26322 27593 52644 55186 72011 82779 110372 144022 165558 216033 288044 331116 432001 432066 864002 864132 1296003 1728004 2592006 2952451 5184012 5904902 8857353 11809804 17712041 17714706 35424082 35429412 46224107 53136123 70848164 92448214 106272246 138672321 184896428 212544492 277344642 290736673 554689284 581473346 872210019 1162946692 1744420038 1895188387 3488840076 3790376774 5685565161 7580753548 11371130322 11920203593 22742260644 23840407186 31108824011 35760610779 47680814372 62217648022 71521221558 93326472033 124435296044 143042443116 186652944066 373305888132 1275461784451 2550923568902 3826385353353 5101847137804 7652770706706 15305541413412