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10441241304 = 23313198321221
BaseRepresentation
bin10011011100101100…
…01011001011011000
3222221200001000101220
421232112023023120
5132340424210204
64444024012040
7516513041514
oct115626131330
928850030356
1010441241304
11447889914a
122034901020
13ca523b5c0
147109c1144
154119bb1d9
hex26e58b2d8

10441241304 has 128 divisors (see below), whose sum is σ = 29948486400. Its totient is φ = 3006789120.

The previous prime is 10441241281. The next prime is 10441241333. The reversal of 10441241304 is 40314214401.

10441241304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 481414 + ... + 502634.

It is an arithmetic number, because the mean of its divisors is an integer number (233972550).

Almost surely, 210441241304 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 10441241304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14974243200).

10441241304 is an abundant number, since it is smaller than the sum of its proper divisors (19507245096).

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

10441241304 is a wasteful number, since it uses less digits than its factorization.

10441241304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21345 (or 21341 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10441241304 its reverse (40314214401), we get a palindrome (50755455705).

The spelling of 10441241304 in words is "ten billion, four hundred forty-one million, two hundred forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 83 104 114 152 156 166 228 247 249 312 332 456 494 498 664 741 988 996 1079 1482 1577 1976 1992 2158 2964 3154 3237 4316 4731 5928 6308 6474 8632 9462 12616 12948 18924 20501 21221 25896 37848 41002 42442 61503 63663 82004 84884 123006 127326 164008 169768 246012 254652 275873 403199 492024 509304 551746 806398 827619 1103492 1209597 1612796 1655238 1761343 2206984 2419194 3225592 3310476 3522686 4838388 5241587 5284029 6620952 7045372 9676776 10483174 10568058 14090744 15724761 20966348 21136116 22897459 31449522 33465517 41932696 42272232 45794918 62899044 66931034 68692377 91589836 100396551 125798088 133862068 137384754 183179672 200793102 267724136 274769508 401586204 435051721 549539016 803172408 870103442 1305155163 1740206884 2610310326 3480413768 5220620652 10441241304