Search a number
-
+
20344145211126 = 23211314180840447
BaseRepresentation
bin1001010000000101111011…
…00011000110111011110110
32200000212210110101121120100
410220002331203012323312
510131304302133224001
6111133545444214530
74166546612034552
oct450027543067366
980025713347510
1020344145211126
1165339a36678a0
1223469b909a446
13b475a1bc9839
1450493a2c0862
152542e7dd7586
hex1280bd8c6ef6

20344145211126 has 96 divisors (see below), whose sum is σ = 50847995068416. Its totient is φ = 5820512112000.

The previous prime is 20344145211121. The next prime is 20344145211133. The reversal of 20344145211126 is 62111254144302.

20344145211126 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 4 + 1 + 4 + 521 + 1 + 126 = 666.

It is a super-2 number, since 2×203441452111262 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20344145211121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 40168566 + ... + 40671881.

It is an arithmetic number, because the mean of its divisors is an integer number (529666615296).

Almost surely, 220344145211126 is an apocalyptic number.

20344145211126 is an abundant number, since it is smaller than the sum of its proper divisors (30503849857290).

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

20344145211126 is a wasteful number, since it uses less digits than its factorization.

20344145211126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80840538 (or 80840535 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 20344145211126 its reverse (62111254144302), we get a palindrome (82455399355428).

The spelling of 20344145211126 in words is "twenty trillion, three hundred forty-four billion, one hundred forty-five million, two hundred eleven thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 31 33 41 62 66 82 93 99 123 186 198 246 279 341 369 451 558 682 738 902 1023 1271 1353 2046 2542 2706 3069 3813 4059 6138 7626 8118 11439 13981 22878 27962 41943 83886 125829 251658 80840447 161680894 242521341 485042682 727564023 889244917 1455128046 1778489834 2506053857 2667734751 3314458327 5012107714 5335469502 6628916654 7518161571 8003204253 9943374981 15036323142 16006408506 19886749962 22554484713 27566592427 29830124943 36459041597 45108969426 55133184854 59660249886 72918083194 82699777281 102748208137 109377124791 165399554562 205496416274 218754249582 248099331843 308244624411 328131374373 496198663686 616489248822 656262748746 924733873233 1130230289507 1849467746466 2260460579014 3390690868521 6781381737042 10172072605563 20344145211126