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13322244244140 = 223251316334928017
BaseRepresentation
bin1100000111011101001110…
…1000101100001010101100
31202011121001002220020110200
43001313103220230022230
53221232424011303030
644200053213033500
72543333426442546
oct301672350541254
952147032806420
1013322244244140
114276a28624937
1215b1b34785890
13758389114860
14340b2b526696
1518181eb1cd60
hexc1dd3a2c2ac

13322244244140 has 144 divisors (see below), whose sum is σ = 43786322213088. Its totient is φ = 3259203028992.

The previous prime is 13322244244087. The next prime is 13322244244181. The reversal of 13322244244140 is 4144244222331.

13322244244140 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 224 + 424 + 4 + 1 + 4 + 0 = 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 = 13322244244095 and 13322244244104.

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, 17082589 + ... + 17845428.

Almost surely, 213322244244140 is an apocalyptic number.

13322244244140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13322244244140 is an abundant number, since it is smaller than the sum of its proper divisors (30464077968948).

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

13322244244140 is a wasteful number, since it uses less digits than its factorization.

13322244244140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34928208 (or 34928203 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 13322244244140 its reverse (4144244222331), we get a palindrome (17466488466471).

The spelling of 13322244244140 in words is "thirteen trillion, three hundred twenty-two billion, two hundred forty-four million, two hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 163 180 195 234 260 326 390 468 489 585 652 780 815 978 1170 1467 1630 1956 2119 2340 2445 2934 3260 4238 4890 5868 6357 7335 8476 9780 10595 12714 14670 19071 21190 25428 29340 31785 38142 42380 63570 76284 95355 127140 190710 381420 34928017 69856034 104784051 139712068 174640085 209568102 314352153 349280170 419136204 454064221 523920255 628704306 698560340 908128442 1047840510 1257408612 1362192663 1571760765 1816256884 2095681020 2270321105 2724385326 3143521530 4086577989 4540642210 5448770652 5693266771 6287043060 6810963315 8173155978 9081284420 11386533542 13621926630 16346311956 17079800313 20432889945 22773067084 27243853260 28466333855 34159600626 40865779890 51239400939 56932667710 68319201252 74012468023 81731559780 85399001565 102478801878 113865335420 148024936046 170798003130 204957603756 222037404069 256197004695 296049872092 341596006260 370062340115 444074808138 512394009390 666112212207 740124680230 888149616276 1024788018780 1110187020345 1332224424414 1480249360460 2220374040690 2664448848828 3330561061035 4440748081380 6661122122070 13322244244140