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10304011144 = 2371922343427
BaseRepresentation
bin10011001100010101…
…01011101110001000
3222121002211000000101
421212022223232020
5132100311324034
64422242415144
7513225435550
oct114612535610
928532730011
1010304011144
114408389099
121bb69614b4
13c82990c1b
146da69c160
15404910514
hex2662abb88

10304011144 has 64 divisors (see below), whose sum is σ = 23346892800. Its totient is φ = 4164727104.

The previous prime is 10304011121. The next prime is 10304011147. The reversal of 10304011144 is 44111040301.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (10304011147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215559 + ... + 258985.

It is an arithmetic number, because the mean of its divisors is an integer number (364795200).

Almost surely, 210304011144 is an apocalyptic number.

10304011144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10304011144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11673446400).

10304011144 is an abundant number, since it is smaller than the sum of its proper divisors (13042881656).

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

10304011144 is a wasteful number, since it uses less digits than its factorization.

10304011144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43682 (or 43678 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10304011144 its reverse (44111040301), we get a palindrome (54415051445).

The spelling of 10304011144 in words is "ten billion, three hundred four million, eleven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 223 266 446 532 892 1064 1561 1784 3122 4237 6244 8474 12488 16948 29659 33896 43427 59318 86854 118636 173708 237272 303989 347416 607978 825113 1215956 1650226 2431912 3300452 5775791 6600904 9684221 11551582 19368442 23103164 38736884 46206328 67789547 77473768 135579094 184000199 271158188 368000398 542316376 736000796 1288001393 1472001592 2576002786 5152005572 10304011144