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13414314343332 = 22371375092290081
BaseRepresentation
bin1100001100110100001101…
…1100001111101110100100
31202111101200122000212211110
43003031003130033232210
53224240003432441312
644310241222505020
72553103133406660
oct303150334175644
952441618025743
1013414314343332
114301a84811101
12160794a895170
13763c6ca85ba6
143453833298a0
15183e0caa743c
hexc334370fba4

13414314343332 has 96 divisors (see below), whose sum is σ = 36103417539840. Its totient is φ = 3797209128960.

The previous prime is 13414314343307. The next prime is 13414314343333. The reversal of 13414314343332 is 23334341341431.

13414314343332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13414314343333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4712532 + ... + 7002612.

It is an arithmetic number, because the mean of its divisors is an integer number (376077266040).

Almost surely, 213414314343332 is an apocalyptic number.

13414314343332 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 13414314343332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18051708769920).

13414314343332 is an abundant number, since it is smaller than the sum of its proper divisors (22689103196508).

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

13414314343332 is a wasteful number, since it uses less digits than its factorization.

13414314343332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290741 (or 2290739 counting only the distinct ones).

The product of its digits is 373248, while the sum is 39.

Adding to 13414314343332 its reverse (23334341341431), we get a palindrome (36748655684763).

The spelling of 13414314343332 in words is "thirteen trillion, four hundred fourteen billion, three hundred fourteen million, three hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 274 411 509 548 822 959 1018 1527 1644 1918 2036 2877 3054 3563 3836 5754 6108 7126 10689 11508 14252 21378 42756 69733 139466 209199 278932 418398 488131 836796 976262 1464393 1952524 2290081 2928786 4580162 5857572 6870243 9160324 13740486 16030567 27480972 32061134 48091701 64122268 96183402 192366804 313741097 627482194 941223291 1165651229 1254964388 1882446582 2196187679 2331302458 3496953687 3764893164 4392375358 4662604916 6588563037 6993907374 8159558603 8784750716 13177126074 13987814748 16319117206 24478675809 26354252148 32638234412 48957351618 97914703236 159694218373 319388436746 479082655119 638776873492 958165310238 1117859528611 1916330620476 2235719057222 3353578585833 4471438114444 6707157171666 13414314343332