Search a number
-
+
10042014244104 = 2332592749859927
BaseRepresentation
bin1001001000100001011010…
…1100010001110100001000
31022120000012020102222210100
42102020112230101310020
52304012021121302404
633205123200045400
72054340321464013
oct222102654216410
938500166388710
1010042014244104
113221881278507
121162262303860
1357ac5b6016ab
1426a07102237a
151263386a2d39
hex92216b11d08

10042014244104 has 96 divisors (see below), whose sum is σ = 27668183400000. Its totient is φ = 3289402694016.

The previous prime is 10042014244039. The next prime is 10042014244117. The reversal of 10042014244104 is 40144241024001.

It is a happy number.

10042014244104 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 201 + 42 + 4 + 410 + 4 = 666.

It is a super-3 number, since 3×100420142441043 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11247789 + ... + 12107715.

It is an arithmetic number, because the mean of its divisors is an integer number (288210243750).

Almost surely, 210042014244104 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 10042014244104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13834091700000).

10042014244104 is an abundant number, since it is smaller than the sum of its proper divisors (17626169155896).

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

10042014244104 is a wasteful number, since it uses less digits than its factorization.

10042014244104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862747 (or 862740 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 10042014244104 its reverse (40144241024001), we get a palindrome (50186255268105).

The spelling of 10042014244104 in words is "ten trillion, forty-two billion, fourteen million, two hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 2749 4248 5498 8247 10996 16494 21992 24741 32988 49482 65976 98964 162191 197928 324382 486573 648764 859927 973146 1297528 1459719 1719854 1946292 2579781 2919438 3439708 3892584 5159562 5838876 6879416 7739343 10319124 11677752 15478686 20638248 30957372 50735693 61914744 101471386 152207079 202942772 304414158 405885544 456621237 608828316 913242474 1217656632 1826484948 2363939323 3652969896 4727878646 7091817969 9455757292 14183635938 18911514584 21275453907 28367271876 42550907814 56734543752 85101815628 139472420057 170203631256 278944840114 418417260171 557889680228 836834520342 1115779360456 1255251780513 1673669040684 2510503561026 3347338081368 5021007122052 10042014244104