Search a number
-
+
20144531715720 = 23352916633480853
BaseRepresentation
bin1001001010010010000111…
…01010000011011010001000
32122022210120001101101200220
410211021003222003122020
510120022000104400340
6110502134202230040
74146252163234236
oct445110352033210
978283501341626
1020144531715720
11646727aa94285
12231418aab5320
13b3180c9a5409
144d900168d956
1524e01385ced0
hex125243a83688

20144531715720 has 128 divisors (see below), whose sum is σ = 62555123404800. Its totient is φ = 5183517717504.

The previous prime is 20144531715683. The next prime is 20144531715733. The reversal of 20144531715720 is 2751713544102.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4046814 + ... + 7527666.

It is an arithmetic number, because the mean of its divisors is an integer number (488711901600).

Almost surely, 220144531715720 is an apocalyptic number.

20144531715720 is a gapful number since it is divisible by the number (20) 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 20144531715720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31277561702400).

20144531715720 is an abundant number, since it is smaller than the sum of its proper divisors (42410591689080).

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

20144531715720 is a wasteful number, since it uses less digits than its factorization.

20144531715720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482559 (or 3482555 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 20144531715720 in words is "twenty trillion, one hundred forty-four billion, five hundred thirty-one million, seven hundred fifteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1663 1740 3326 3480 4989 6652 8315 9978 13304 16630 19956 24945 33260 39912 48227 49890 66520 96454 99780 144681 192908 199560 241135 289362 385816 482270 578724 723405 964540 1157448 1446810 1929080 2893620 3480853 5787240 6961706 10442559 13923412 17404265 20885118 27846824 34808530 41770236 52212795 69617060 83540472 100944737 104425590 139234120 201889474 208851180 302834211 403778948 417702360 504723685 605668422 807557896 1009447370 1211336844 1514171055 2018894740 2422673688 3028342110 4037789480 5788658539 6056684220 11577317078 12113368440 17365975617 23154634156 28943292695 34731951234 46309268312 57886585390 69463902468 86829878085 115773170780 138927804936 167871097631 173659756170 231546341560 335742195262 347319512340 503613292893 671484390524 694639024680 839355488155 1007226585786 1342968781048 1678710976310 2014453171572 2518066464465 3357421952620 4028906343144 5036132928930 6714843905240 10072265857860 20144531715720