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21444212440 = 2357194030867
BaseRepresentation
bin10011111110001011…
…001011011011011000
32001100111001212021101
4103332023023123120
5322404204244230
613503515521144
71356256540540
oct237613133330
961314055241
1021444212440
119104776222
1241a57591b4
132039966401
141076026320
15857945aca
hex4fe2cb6d8

21444212440 has 64 divisors (see below), whose sum is σ = 58044499200. Its totient is φ = 6965336448.

The previous prime is 21444212389. The next prime is 21444212443. The reversal of 21444212440 is 4421244412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 21444212399 and 21444212408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21444212443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2010114 + ... + 2020753.

It is an arithmetic number, because the mean of its divisors is an integer number (906945300).

Almost surely, 221444212440 is an apocalyptic number.

21444212440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21444212440 is an abundant number, since it is smaller than the sum of its proper divisors (36600286760).

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

21444212440 is a wasteful number, since it uses less digits than its factorization.

21444212440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4030904 (or 4030900 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 21444212440 its reverse (4421244412), we get a palindrome (25865456852).

The spelling of 21444212440 in words is "twenty-one billion, four hundred forty-four million, two hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 4030867 8061734 16123468 20154335 28216069 32246936 40308670 56432138 76586473 80617340 112864276 141080345 153172946 161234680 225728552 282160690 306345892 382932365 536105311 564321380 612691784 765864730 1072210622 1128642760 1531729460 2144421244 2680526555 3063458920 4288842488 5361053110 10722106220 21444212440