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14304224141240 = 2351124121758131
BaseRepresentation
bin1101000000100111011000…
…1100101101111110111000
31212122110200222022120221012
43100021312030231332320
53333330022340004430
650231134142133052
73004306003031465
oct320116614557670
955573628276835
1014304224141240
114615429687800
121730307881188
137c9b61c618c7
143764845cc66c
1519c144359695
hexd027632dfb8

14304224141240 has 144 divisors (see below), whose sum is σ = 36260259388920. Its totient is φ = 5074666432000.

The previous prime is 14304224141239. The next prime is 14304224141267. The reversal of 14304224141240 is 4214142240341.

It is a super-2 number, since 2×143042241412402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14304224141197 and 14304224141206.

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 35 ways as a sum of consecutive naturals, for example, 7256975 + ... + 9015105.

Almost surely, 214304224141240 is an apocalyptic number.

14304224141240 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 14304224141240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18130129694460).

14304224141240 is an abundant number, since it is smaller than the sum of its proper divisors (21956035247680).

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

14304224141240 is a wasteful number, since it uses less digits than its factorization.

14304224141240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758246 (or 1758190 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 14304224141240 its reverse (4214142240341), we get a palindrome (18518366381581).

The spelling of 14304224141240 in words is "fourteen trillion, three hundred four billion, two hundred twenty-four million, one hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 121 164 205 220 242 328 410 440 451 484 605 820 902 968 1210 1640 1681 1804 2255 2420 3362 3608 4510 4840 4961 6724 8405 9020 9922 13448 16810 18040 18491 19844 24805 33620 36982 39688 49610 67240 73964 92455 99220 147928 184910 198440 203401 369820 406802 739640 813604 1017005 1627208 1758131 2034010 3516262 4068020 7032524 8136040 8790655 14065048 17581310 19339441 35162620 38678882 70325240 72083371 77357764 96697205 144166742 154715528 193394410 212733851 288333484 360416855 386788820 425467702 576666968 720833710 773577640 792917081 850935404 1063669255 1441667420 1585834162 1701870808 2127338510 2883334840 2955418211 3171668324 3964585405 4254677020 5910836422 6343336648 7929170810 8509354040 8722087891 11821672844 14777091055 15858341620 17444175782 23643345688 29554182110 31716683240 32509600321 34888351564 43610439455 59108364220 65019200642 69776703128 87220878910 118216728440 130038401284 162548001605 174441757820 260076802568 325096003210 348883515640 357605603531 650192006420 715211207062 1300384012840 1430422414124 1788028017655 2860844828248 3576056035310 7152112070620 14304224141240