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13450432253120 = 265832083243119
BaseRepresentation
bin1100001110111010110000…
…1111001000110011000000
31202121211220202020210200222
43003232230033020303000
53230332441124044440
644335013203002212
72555522151521342
oct303565417106300
952554822223628
1013450432253120
11431632939a325
12161294a669368
137674a778b445
1434700c0b7292
15184d2385a2b5
hexc3bac3c8cc0

13450432253120 has 112 divisors (see below), whose sum is σ = 32430426416640. Its totient is φ = 5312777911296.

The previous prime is 13450432253099. The next prime is 13450432253173. The reversal of 13450432253120 is 2135223405431.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55202921 + ... + 55446039.

It is an arithmetic number, because the mean of its divisors is an integer number (289557378720).

Almost surely, 213450432253120 is an apocalyptic number.

13450432253120 is a gapful number since it is divisible by the number (10) 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 13450432253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16215213208320).

13450432253120 is an abundant number, since it is smaller than the sum of its proper divisors (18979994163520).

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

13450432253120 is a wasteful number, since it uses less digits than its factorization.

13450432253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245302 (or 245292 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 13450432253120 its reverse (2135223405431), we get a palindrome (15585655658551).

The spelling of 13450432253120 in words is "thirteen trillion, four hundred fifty billion, four hundred thirty-two million, two hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 160 166 320 332 415 664 830 1328 1660 2083 2656 3320 4166 5312 6640 8332 10415 13280 16664 20830 26560 33328 41660 66656 83320 133312 166640 172889 243119 333280 345778 486238 666560 691556 864445 972476 1215595 1383112 1728890 1944952 2431190 2766224 3457780 3889904 4862380 5532448 6915560 7779808 9724760 11064896 13831120 15559616 19449520 20178877 27662240 38899040 40357754 55324480 77798080 80715508 100894385 161431016 201788770 322862032 403577540 506416877 645724064 807155080 1012833754 1291448128 1614310160 2025667508 2532084385 3228620320 4051335016 5064168770 6457240640 8102670032 10128337540 16205340064 20256675080 32410680128 40513350160 42032600791 81026700320 84065201582 162053400640 168130403164 210163003955 336260806328 420326007910 672521612656 840652015820 1345043225312 1681304031640 2690086450624 3362608063280 6725216126560 13450432253120