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14342313003000 = 2335318253261917
BaseRepresentation
bin1101000010110101010001…
…1110001100011111111000
31212210010000110020020121220
43100231110132030133320
53334441024112044000
650300433450432040
73010124613022623
oct320552436143770
955703013206556
1014342313003000
11462a5a4872354
121737777732620
138006220b0928
14378259032dba
1519d1231831a0
hexd0b5478c7f8

14342313003000 has 128 divisors (see below), whose sum is σ = 44750638969920. Its totient is φ = 3824392665600.

The previous prime is 14342313002987. The next prime is 14342313003049. The reversal of 14342313003000 is 30031324341.

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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54628042 + ... + 54889958.

Almost surely, 214342313003000 is an apocalyptic number.

14342313003000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14342313003000 is an abundant number, since it is smaller than the sum of its proper divisors (30408325966920).

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

14342313003000 is a wasteful number, since it uses less digits than its factorization.

14342313003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280194 (or 280180 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 14342313003000 its reverse (30031324341), we get a palindrome (14372344327341).

The spelling of 14342313003000 in words is "fourteen trillion, three hundred forty-two billion, three hundred thirteen million, three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 18253 36506 54759 73012 91265 109518 146024 182530 219036 261917 273795 365060 438072 456325 523834 547590 730120 785751 912650 1047668 1095180 1309585 1368975 1571502 1825300 2095336 2190360 2281625 2619170 2737950 3143004 3650600 3928755 4563250 5238340 5475900 6286008 6547925 6844875 7857510 9126500 10476680 10951800 13095850 13689750 15715020 18253000 19643775 26191700 27379500 31430040 32739625 39287550 52383400 54759000 65479250 78575100 98218875 130958500 157150200 196437750 261917000 392875500 785751000 4780771001 9561542002 14342313003 19123084004 23903855005 28684626006 38246168008 47807710010 57369252012 71711565015 95615420020 114738504024 119519275025 143423130030 191230840040 239038550050 286846260060 358557825075 478077100100 573692520120 597596375125 717115650150 956154200200 1195192750250 1434231300300 1792789125375 2390385500500 2868462600600 3585578250750 4780771001000 7171156501500 14342313003000