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13432444331000 = 235317099785569
BaseRepresentation
bin1100001101110111110000…
…0100101010001111111000
31202120010111010210200102012
43003131330010222033320
53230034121222043000
644322440231225052
72554314330641612
oct303357404521770
952503433720365
1013432444331000
114309738707192
12160b36a518188
1376589bbc9446
143461c3111db2
1518461e58a735
hexc377c12a3f8

13432444331000 has 64 divisors (see below), whose sum is σ = 31433797980000. Its totient is φ = 5372656665600.

The previous prime is 13432444330973. The next prime is 13432444331011. The reversal of 13432444331000 is 13344423431.

It is a super-2 number, since 2×134324443310002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16706216 + ... + 17491784.

Almost surely, 213432444331000 is an apocalyptic number.

13432444331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13432444331000 is an abundant number, since it is smaller than the sum of its proper divisors (18001353649000).

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

13432444331000 is a wasteful number, since it uses less digits than its factorization.

13432444331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802689 (or 802675 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 13432444331000 its reverse (13344423431), we get a palindrome (13445788754431).

The spelling of 13432444331000 in words is "thirteen trillion, four hundred thirty-two billion, four hundred forty-four million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 17099 34198 68396 85495 136792 170990 341980 427475 683960 785569 854950 1571138 1709900 2137375 3142276 3419800 3927845 4274750 6284552 7855690 8549500 15711380 17099000 19639225 31422760 39278450 78556900 98196125 157113800 196392250 392784500 785569000 13432444331 26864888662 53729777324 67162221655 107459554648 134324443310 268648886620 335811108275 537297773240 671622216550 1343244433100 1679055541375 2686488866200 3358111082750 6716222165500 13432444331000