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42204102233124 = 223131492277998673
BaseRepresentation
bin10011001100010011010001…
…00001011000110000100100
312112102200011110010120201010
421212021220201120300210
521012433000132424444
6225432144044302220
711614100665645116
oct1146115041306044
9175380143116633
1042204102233124
11124a17284a7567
124897530541970
131a71aa2cb5780
14a5c991bb33b6
154d2c5b38a2b9
hex266268858c24

42204102233124 has 96 divisors (see below), whose sum is σ = 107233423113600. Its totient is φ = 12841899890688.

The previous prime is 42204102233123. The next prime is 42204102233129. The reversal of 42204102233124 is 42133220140224.

It is a junction number, because it is equal to n+sod(n) for n = 42204102233091 and 42204102233100.

It is not an unprimeable number, because it can be changed into a prime (42204102233123) 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, 1277052 + ... + 9275724.

It is an arithmetic number, because the mean of its divisors is an integer number (1117014824100).

Almost surely, 242204102233124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42204102233124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53616711556800).

42204102233124 is an abundant number, since it is smaller than the sum of its proper divisors (65029320880476).

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

42204102233124 is a wasteful number, since it uses less digits than its factorization.

42204102233124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7999069 (or 7999067 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 42204102233124 its reverse (42133220140224), we get a palindrome (84337322373348).

The spelling of 42204102233124 in words is "forty-two trillion, two hundred four billion, one hundred two million, two hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 149 156 227 298 447 454 596 681 894 908 1362 1788 1937 2724 2951 3874 5811 5902 7748 8853 11622 11804 17706 23244 33823 35412 67646 101469 135292 202938 405876 439699 879398 1319097 1758796 2638194 5276388 7998673 15997346 23996019 31994692 47992038 95984076 103982749 207965498 311948247 415930996 623896494 1191802277 1247792988 1815698771 2383604554 3575406831 3631397542 4767209108 5447096313 7150813662 7262795084 10894192626 14301627324 15493429601 21788385252 23604084023 30986859202 46480288803 47208168046 61973718404 70812252069 92960577606 94416336092 141624504138 185921155212 270539116879 283249008276 541078233758 811617350637 1082156467516 1623234701274 3246469402548 3517008519427 7034017038854 10551025558281 14068034077708 21102051116562 42204102233124