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13341412132000 = 25538783379751
BaseRepresentation
bin1100001000100100101000…
…1000011000010010100000
31202020102111221122211110021
43002021022020120102200
53222041203001211000
644212543215243224
72544612426006541
oct302111210302240
952212457584407
1013341412132000
11428407437a777
1215b57a3b19514
1375a1222a5134
14341a290c44c8
151820927bc11a
hexc224a2184a0

13341412132000 has 96 divisors (see below), whose sum is σ = 32783668130304. Its totient is φ = 5335943200000.

The previous prime is 13341412131979. The next prime is 13341412132091. The reversal of 13341412132000 is 23121414331.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34942125 + ... + 35321875.

It is an arithmetic number, because the mean of its divisors is an integer number (341496543024).

Almost surely, 213341412132000 is an apocalyptic number.

13341412132000 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 13341412132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16391834065152).

13341412132000 is an abundant number, since it is smaller than the sum of its proper divisors (19442255998304).

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

13341412132000 is an equidigital number, since it uses as much as digits as its factorization.

13341412132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388559 (or 388541 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 13341412132000 its reverse (23121414331), we get a palindrome (13364533546331).

The spelling of 13341412132000 in words is "thirteen trillion, three hundred forty-one billion, four hundred twelve million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 8783 17566 35132 43915 70264 87830 140528 175660 219575 281056 351320 379751 439150 702640 759502 878300 1097875 1405280 1519004 1756600 1898755 2195750 3038008 3513200 3797510 4391500 6076016 7026400 7595020 8783000 9493775 12152032 15190040 17566000 18987550 30380080 35132000 37975100 47468875 60760160 75950200 94937750 151900400 189875500 303800800 379751000 759502000 1519004000 3335353033 6670706066 13341412132 16676765165 26682824264 33353530330 53365648528 66707060660 83383825825 106731297056 133414121320 166767651650 266828242640 333535303300 416919129125 533656485280 667070606600 833838258250 1334141213200 1667676516500 2668282426400 3335353033000 6670706066000 13341412132000