Search a number
-
+
21444313000122 = 23219314743035463
BaseRepresentation
bin1001110000000111001001…
…01010001010100010111010
32210221001112001011221112100
410320003210222022202322
510302320423112000442
6113335214214124230
74342205031662055
oct470034452124272
983831461157470
1021444313000122
116918533700181
1224a4075050676
13bc726169192c
14541ca5b83a9c
15272c3847d84c
hex1380e4a8a8ba

21444313000122 has 96 divisors (see below), whose sum is σ = 51559928709120. Its totient is φ = 6414005256480.

The previous prime is 21444313000051. The next prime is 21444313000129. The reversal of 21444313000122 is 22100031344412.

21444313000122 is a `hidden beast` number, since 214 + 4 + 431 + 3 + 0 + 0 + 0 + 12 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (21444313000129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21019438 + ... + 22016025.

It is an arithmetic number, because the mean of its divisors is an integer number (537082590720).

Almost surely, 221444313000122 is an apocalyptic number.

21444313000122 is an abundant number, since it is smaller than the sum of its proper divisors (30115615708998).

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

21444313000122 is a wasteful number, since it uses less digits than its factorization.

21444313000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43035568 (or 43035565 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 21444313000122 its reverse (22100031344412), we get a palindrome (43544344344534).

The spelling of 21444313000122 in words is "twenty-one trillion, four hundred forty-four billion, three hundred thirteen million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 31 38 47 57 62 93 94 114 141 171 186 279 282 342 423 558 589 846 893 1178 1457 1767 1786 2679 2914 3534 4371 5301 5358 8037 8742 10602 13113 16074 26226 27683 55366 83049 166098 249147 498294 43035463 86070926 129106389 258212778 387319167 774638334 817673797 1334099353 1635347594 2022666761 2453021391 2668198706 4002298059 4045333522 4906042782 6068000283 7359064173 8004596118 12006894177 12136000566 14718128346 18204000849 24013788354 25347887707 36408001698 38430668459 50695775414 62702669591 76043663121 76861336918 115292005377 125405339182 152087326242 188108008773 228130989363 230584010754 345876016131 376216017546 456261978726 564324026319 691752032262 1128648052638 1191350722229 2382701444458 3574052166687 7148104333374 10722156500061 21444313000122