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14130041200040 = 2351735935783321
BaseRepresentation
bin1100110110011110100000…
…0101100001110110101000
31212000211002212101101012202
43031213220011201312220
53323001311021400130
650015130141155332
72655601410331463
oct315475005416650
955024085341182
1014130041200040
114558575984a37
1217025b625bb48
137b65c35225ac
1436bc7d1c02da
1519784c69e145
hexcd9e8161da8

14130041200040 has 64 divisors (see below), whose sum is σ = 33672120014160. Its totient is φ = 5318063472640.

The previous prime is 14130041200021. The next prime is 14130041200063. The reversal of 14130041200040 is 4000214003141.

It can be written as a sum of positive squares in 8 ways, for example, as 9735760367524 + 4394280832516 = 3120218^2 + 2096254^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14130041199985 and 14130041200021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448421 + ... + 5334900.

Almost surely, 214130041200040 is an apocalyptic number.

14130041200040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14130041200040 is an abundant number, since it is smaller than the sum of its proper divisors (19542078814120).

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

14130041200040 is a wasteful number, since it uses less digits than its factorization.

14130041200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786942 (or 5786938 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14130041200040 its reverse (4000214003141), we get a palindrome (18130255203181).

The spelling of 14130041200040 in words is "fourteen trillion, one hundred thirty billion, forty-one million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 3593 7186 14372 17965 28744 35930 61081 71860 122162 143720 244324 305405 488648 610810 1221620 2443240 5783321 11566642 23133284 28916605 46266568 57833210 98316457 115666420 196632914 231332840 393265828 491582285 786531656 983164570 1966329140 3932658280 20779472353 41558944706 83117889412 103897361765 166235778824 207794723530 353251030001 415589447060 706502060002 831178894120 1413004120004 1766255150005 2826008240008 3532510300010 7065020600020 14130041200040