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20344145211140 = 2252983941807047
BaseRepresentation
bin1001010000000101111011…
…00011000110111100000100
32200000212210110101121120212
410220002331203012330010
510131304302133224030
6111133545444214552
74166546612034602
oct450027543067404
980025713347525
1020344145211140
1165339a3667903
1223469b909a458
13b475a1bc984a
1450493a2c0872
152542e7dd7595
hex1280bd8c6f04

20344145211140 has 48 divisors (see below), whose sum is σ = 44248579603200. Its totient is φ = 7847684218752.

The previous prime is 20344145211133. The next prime is 20344145211251. The reversal of 20344145211140 is 4111254144302.

It is a junction number, because it is equal to n+sod(n) for n = 20344145211097 and 20344145211106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20416904 + ... + 21390143.

It is an arithmetic number, because the mean of its divisors is an integer number (921845408400).

Almost surely, 220344145211140 is an apocalyptic number.

20344145211140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20344145211140 is an abundant number, since it is smaller than the sum of its proper divisors (23904434392060).

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

20344145211140 is a wasteful number, since it uses less digits than its factorization.

20344145211140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41807924 (or 41807922 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 20344145211140 its reverse (4111254144302), we get a palindrome (24455399355442).

The spelling of 20344145211140 in words is "twenty trillion, three hundred forty-four billion, one hundred forty-five million, two hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 839 1678 3356 4195 8390 16780 24331 48662 97324 121655 243310 486620 41807047 83614094 167228188 209035235 418070470 836140940 1212404363 2424808726 4849617452 6062021815 12124043630 24248087260 35076112433 70152224866 140304449732 175380562165 350761124330 701522248660 1017207260557 2034414521114 4068829042228 5086036302785 10172072605570 20344145211140