Search a number
-
+
21302444033244 = 2232111710872911091
BaseRepresentation
bin1001101011111110111001…
…00111000000010011011100
32210102111022221200201012200
410311333130213000103130
510243004401133030434
6113150112505531500
74326023264443533
oct465773447002334
983374287621180
1021302444033244
116873352337610
1224806814a3b90
13bb6a7284339a
1453908824931a
1526e1d362e199
hex135fdc9c04dc

21302444033244 has 144 divisors (see below), whose sum is σ = 62255821694976. Its totient is φ = 6069971980800.

The previous prime is 21302444033219. The next prime is 21302444033279. The reversal of 21302444033244 is 44233044420312.

21302444033244 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 2 + 4 + 4 + 403 + 3 + 244 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21302444033199 and 21302444033208.

It is a congruent number.

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, 5862139 + ... + 8773229.

It is an arithmetic number, because the mean of its divisors is an integer number (432332095104).

Almost surely, 221302444033244 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 21302444033244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31127910847488).

21302444033244 is an abundant number, since it is smaller than the sum of its proper divisors (40953377661732).

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

21302444033244 is a wasteful number, since it uses less digits than its factorization.

21302444033244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912216 (or 2912211 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 21302444033244 its reverse (44233044420312), we get a palindrome (65535488453556).

The spelling of 21302444033244 in words is "twenty-one trillion, three hundred two billion, four hundred forty-four million, thirty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1087 1122 1683 2174 2244 3261 3366 4348 6522 6732 9783 11957 13044 18479 19566 23914 35871 36958 39132 47828 55437 71742 73916 107613 110874 143484 166311 203269 215226 221748 332622 406538 430452 609807 665244 813076 1219614 1829421 2439228 2911091 3658842 5822182 7317684 8733273 11644364 17466546 26199819 32022001 34933092 49488547 52399638 64044002 96066003 98977094 104799276 128088004 148465641 192132006 197954188 288198009 296931282 384264012 445396923 544374017 576396018 593862564 890793846 1088748034 1152792036 1633122051 1781587692 2177496068 3164355917 3266244102 4899366153 6328711834 6532488204 9493067751 9798732306 12657423668 18986135502 19597464612 28479203253 34807915087 37972271004 53794050589 56958406506 69615830174 104423745261 107588101178 113916813012 139231660348 161382151767 208847490522 215176202356 313271235783 322764303534 417694981044 484146455301 591734556479 626542471566 645528607068 968292910602 1183469112958 1253084943132 1775203669437 1936585821204 2366938225916 3550407338874 5325611008311 7100814677748 10651222016622 21302444033244