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10004240503242 = 233372881153607
BaseRepresentation
bin1001000110010100101100…
…1100111001000111001010
31022102101200201111010201000
42101211023030321013022
52302402141032100432
633135515025435430
72051532256130436
oct221451314710712
938371621433630
1010004240503242
113207857a54957
121156a7ba9bb76
1357751b845b3b
142682ca3a99c6
1512537737357c
hex9194b3391ca

10004240503242 has 96 divisors (see below), whose sum is σ = 22874824103040. Its totient is φ = 3240914561280.

The previous prime is 10004240503217. The next prime is 10004240503247. The reversal of 10004240503242 is 24230504240001.

10004240503242 is a `hidden beast` number, since 10 + 0 + 0 + 4 + 2 + 405 + 0 + 3 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10004240503247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65052003 + ... + 65205609.

It is an arithmetic number, because the mean of its divisors is an integer number (238279417740).

Almost surely, 210004240503242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004240503242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11437412051520).

10004240503242 is an abundant number, since it is smaller than the sum of its proper divisors (12870583599798).

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

10004240503242 is a wasteful number, since it uses less digits than its factorization.

10004240503242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154573 (or 154530 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 10004240503242 its reverse (24230504240001), we get a palindrome (34234744743243).

The spelling of 10004240503242 in words is "ten trillion, four billion, two hundred forty million, five hundred three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 881 999 1369 1762 1998 2643 2738 4107 5286 7929 8214 12321 15858 23787 24642 32597 36963 47574 65194 73926 97791 153607 195582 293373 307214 460821 586746 880119 921642 1206089 1382463 1760238 2412178 2764926 3618267 4147389 5683459 7236534 8294778 10854801 11366918 17050377 21709602 32564403 34100754 51151131 65128806 102302262 135327767 153453393 210287983 270655534 306906786 405983301 420575966 630863949 811966602 1217949903 1261727898 1892591847 2435899806 3653849709 3785183694 5007127379 5677775541 7307699418 10014254758 11355551082 15021382137 30042764274 45064146411 90128292822 135192439233 185263713023 270384878466 370527426046 555791139069 1111582278138 1667373417207 3334746834414 5002120251621 10004240503242