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14300140440040 = 2357139294228859
BaseRepresentation
bin1101000000011000001011…
…0010101000100111101000
31212122002011101010002000121
43100012002302220213220
53333243141423040130
650225221022213024
73004102545115210
oct320060262504750
955562141102017
1014300140440040
114613723524634
12172b568124174
137c9660bb5270
143761b80cb240
1519bea5a9dd7a
hexd0182ca89e8

14300140440040 has 128 divisors (see below), whose sum is σ = 39643025184000. Its totient is φ = 4520886018048.

The previous prime is 14300140439969. The next prime is 14300140440041. The reversal of 14300140440040 is 4004404100341.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14300140439987 and 14300140440014.

It is not an unprimeable number, because it can be changed into a prime (14300140440041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1267131 + ... + 5495989.

It is an arithmetic number, because the mean of its divisors is an integer number (309711134250).

Almost surely, 214300140440040 is an apocalyptic number.

14300140440040 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 14300140440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19821512592000).

14300140440040 is an abundant number, since it is smaller than the sum of its proper divisors (25342884743960).

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

14300140440040 is a wasteful number, since it uses less digits than its factorization.

14300140440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229819 (or 4229815 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 14300140440040 its reverse (4004404100341), we get a palindrome (18304544540381).

The spelling of 14300140440040 in words is "fourteen trillion, three hundred billion, one hundred forty million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 929 1820 1858 3640 3716 4645 6503 7432 9290 12077 13006 18580 24154 26012 32515 37160 48308 52024 60385 65030 84539 96616 120770 130060 169078 241540 260120 338156 422695 483080 676312 845390 1690780 3381560 4228859 8457718 16915436 21144295 29602013 33830872 42288590 54975167 59204026 84577180 109950334 118408052 148010065 169154360 219900668 236816104 274875835 296020130 384826169 439801336 549751670 592040260 769652338 1099503340 1184080520 1539304676 1924130845 2199006680 3078609352 3848261690 3928610011 7696523380 7857220022 15393046760 15714440044 19643050055 27500270077 31428880088 39286100110 51071930143 55000540154 78572200220 102143860286 110001080308 137501350385 157144400440 204287720572 220002160616 255359650715 275002700770 357503511001 408575441144 510719301430 550005401540 715007022002 1021438602860 1100010803080 1430014044004 1787517555005 2042877205720 2860028088008 3575035110010 7150070220020 14300140440040