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13643214103332 = 223211233259459631
BaseRepresentation
bin1100011010001000111011…
…1011100010001100100100
31210022021112001022111011100
43012202032323202030210
53242012300302301312
645003334523040100
72605455364310022
oct306421673421444
953267461274140
1013643214103332
114390066757780
121644190970030
1377c71b534168
14352499693712
15189d582735dc
hexc688eee2324

13643214103332 has 144 divisors (see below), whose sum is σ = 39270075586560. Its totient is φ = 3953332785600.

The previous prime is 13643214103331. The next prime is 13643214103357. The reversal of 13643214103332 is 23330141234631.

13643214103332 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 3 + 214 + 103 + 332 = 666.

It is a super-2 number, since 2×136432141033322 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13643214103331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29453157 + ... + 29912787.

It is an arithmetic number, because the mean of its divisors is an integer number (272708858240).

Almost surely, 213643214103332 is an apocalyptic number.

13643214103332 is a gapful number since it is divisible by the number (12) 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 13643214103332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19635037793280).

13643214103332 is an abundant number, since it is smaller than the sum of its proper divisors (25626861483228).

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

13643214103332 is a wasteful number, since it uses less digits than its factorization.

13643214103332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462934 (or 462929 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 13643214103332 its reverse (23330141234631), we get a palindrome (36973355337963).

The spelling of 13643214103332 in words is "thirteen trillion, six hundred forty-three billion, two hundred fourteen million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 3259 4554 6518 9108 9777 13036 19554 29331 35849 39108 58662 71698 74957 107547 117324 143396 149914 215094 224871 299828 322641 430188 449742 459631 645282 674613 824527 899484 919262 1290564 1349226 1378893 1649054 1838524 2473581 2698452 2757786 3298108 4136679 4947162 5055941 5515572 7420743 8273358 9894324 10111882 10571513 14841486 15167823 16546716 20223764 21143026 29682972 30335646 31714539 42286052 45503469 60671292 63429078 91006938 95143617 116286643 126858156 182013876 190287234 232573286 348859929 380574468 465146572 697719858 1046579787 1395439716 1497937429 2093159574 2995874858 4186319148 4493812287 5991749716 8987624574 13481436861 16477311719 17975249148 26962873722 32954623438 34452560867 49431935157 53925747444 65909246876 68905121734 98863870314 103357682601 137810243468 148295805471 197727740628 206715365202 296591610942 310073047803 378978169537 413430730404 593183221884 620146095606 757956339074 1136934508611 1240292191212 1515912678148 2273869017222 3410803525833 4547738034444 6821607051666 13643214103332