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1314432123000 = 233531313344611
BaseRepresentation
bin10011001000001010010…
…000101000000001111000
311122122210000221021010020
4103020022100220001320
5133013424110414000
62443501454050440
7163651565461623
oct23101220500170
94578700837106
101314432123000
114674a1736877
121928b47a9a20
1396c480b3ca9
14478941c8dba
15242d0e64ba0
hex1320a428078

1314432123000 has 128 divisors (see below), whose sum is σ = 4132335018240. Its totient is φ = 347839440000.

The previous prime is 1314432122933. The next prime is 1314432123079. The reversal of 1314432123000 is 3212344131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1279306 + ... + 2065305.

It is an arithmetic number, because the mean of its divisors is an integer number (32283867330).

Almost surely, 21314432123000 is an apocalyptic number.

1314432123000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314432123000 is an abundant number, since it is smaller than the sum of its proper divisors (2817902895240).

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

1314432123000 is a wasteful number, since it uses less digits than its factorization.

1314432123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344766 (or 3344752 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1314432123000 its reverse (3212344131), we get a palindrome (1317644467131).

The spelling of 1314432123000 in words is "one trillion, three hundred fourteen billion, four hundred thirty-two million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 131 150 200 250 262 300 375 393 500 524 600 655 750 786 1000 1048 1310 1500 1572 1965 2620 3000 3144 3275 3930 5240 6550 7860 9825 13100 15720 16375 19650 26200 32750 39300 49125 65500 78600 98250 131000 196500 393000 3344611 6689222 10033833 13378444 16723055 20067666 26756888 33446110 40135332 50169165 66892220 80270664 83615275 100338330 133784440 167230550 200676660 250845825 334461100 401353320 418076375 438144041 501691650 668922200 836152750 876288082 1003383300 1254229125 1314432123 1672305500 1752576164 2006766600 2190720205 2508458250 2628864246 3344611000 3505152328 4381440410 5016916500 5257728492 6572160615 8762880820 10033833000 10515456984 10953601025 13144321230 17525761640 21907202050 26288642460 32860803075 43814404100 52577284920 54768005125 65721606150 87628808200 109536010250 131443212300 164304015375 219072020500 262886424600 328608030750 438144041000 657216061500 1314432123000