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1020344144314 = 2112359102111503
BaseRepresentation
bin11101101100100010100…
…00000001000110111010
310121112200112112000222111
432312101100001012322
5113204131100104224
62100423432042534
7133501036061065
oct16662120010672
93545615460874
101020344144314
113637a873a700
121458bb23344a
13752ab059261
14375563138dc
151b81c810d94
hexed914011ba

1020344144314 has 48 divisors (see below), whose sum is σ = 1688788120320. Its totient is φ = 462007735200.

The previous prime is 1020344144299. The next prime is 1020344144333. The reversal of 1020344144314 is 4134414430201.

It is a super-2 number, since 2×10203441443142 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 88696687 + ... + 88708189.

It is an arithmetic number, because the mean of its divisors is an integer number (35183085840).

Almost surely, 21020344144314 is an apocalyptic number.

1020344144314 is a deficient number, since it is larger than the sum of its proper divisors (668443976006).

1020344144314 is a wasteful number, since it uses less digits than its factorization.

1020344144314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12907 (or 12896 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 1020344144314 its reverse (4134414430201), we get a palindrome (5154758574515).

The spelling of 1020344144314 in words is "one trillion, twenty billion, three hundred forty-four million, one hundred forty-four thousand, three hundred fourteen".

Divisors: 1 2 11 22 121 242 359 718 1021 2042 3949 7898 11231 11503 22462 23006 43439 86878 123541 126533 247082 253066 366539 733078 1391863 2783726 4031929 4129577 8063858 8259154 11744563 23489126 44351219 45425347 88702438 90850694 129190193 258380386 499678817 999357634 1421092123 2842184246 4216298117 8432596234 46379279287 92758558574 510172072157 1020344144314