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14414201323000 = 235359244308497
BaseRepresentation
bin1101000111000001000101…
…0110010111110111111000
31220000222120110210021120021
43101300101112113313320
53342130241014314000
650353443114540224
73015251226454453
oct321602126276770
956028513707507
1014414201323000
114658034962166
12174969aa37674
1380733a7cc69b
1437b91875249a
1519ee2e44611a
hexd1c11597df8

14414201323000 has 64 divisors (see below), whose sum is σ = 34300913119200. Its totient is φ = 5667957107200.

The previous prime is 14414201322971. The next prime is 14414201323033. The reversal of 14414201323000 is 32310241441.

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

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, 122095249 + ... + 122213248.

Almost surely, 214414201323000 is an apocalyptic number.

14414201323000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14414201323000 is an abundant number, since it is smaller than the sum of its proper divisors (19886711796200).

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

14414201323000 is a wasteful number, since it uses less digits than its factorization.

14414201323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244308577 (or 244308563 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 14414201323000 its reverse (32310241441), we get a palindrome (14446511564441).

The spelling of 14414201323000 in words is "fourteen trillion, four hundred fourteen billion, two hundred one million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 295 472 500 590 1000 1180 1475 2360 2950 5900 7375 11800 14750 29500 59000 244308497 488616994 977233988 1221542485 1954467976 2443084970 4886169940 6107712425 9772339880 12215424850 14414201323 24430849700 28828402646 30538562125 48861699400 57656805292 61077124250 72071006615 115313610584 122154248500 144142013230 244308497000 288284026460 360355033075 576568052920 720710066150 1441420132300 1801775165375 2882840264600 3603550330750 7207100661500 14414201323000