Search a number
-
+
10031241004044 = 22313712269399151
BaseRepresentation
bin1001000111111001010010…
…0011101000010000001100
31022111222101102200200201020
42101332110203220100030
52303322440144112134
633200142152114140
72053506334450611
oct221762443502014
938458342620636
1010031241004044
11321825303a827
121160156395950
13579c32670630
1426972c2dc508
15125e079a6b49
hex91f948e840c

10031241004044 has 96 divisors (see below), whose sum is σ = 25573061928960. Its totient is φ = 3041714592000.

The previous prime is 10031241004021. The next prime is 10031241004049. The reversal of 10031241004044 is 44040014213001.

It is not an unprimeable number, because it can be changed into a prime (10031241004049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24931869 + ... + 25331019.

It is an arithmetic number, because the mean of its divisors is an integer number (266386061760).

Almost surely, 210031241004044 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 10031241004044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12786530964480).

10031241004044 is an abundant number, since it is smaller than the sum of its proper divisors (15541820924916).

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

10031241004044 is a wasteful number, since it uses less digits than its factorization.

10031241004044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401511 (or 401509 counting only the distinct ones).

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

Adding to 10031241004044 its reverse (44040014213001), we get a palindrome (54071255217045).

The spelling of 10031241004044 in words is "ten trillion, thirty-one billion, two hundred forty-one million, four thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 852 923 1846 2269 2769 3692 4538 5538 6807 9076 11076 13614 27228 29497 58994 88491 117988 161099 176982 322198 353964 399151 483297 644396 798302 966594 1197453 1596604 1933188 2094287 2394906 4188574 4789812 5188963 6282861 8377148 10377926 12565722 15566889 20755852 25131444 28339721 31133778 56679442 62267556 85019163 113358884 170038326 340076652 368416373 736832746 905673619 1105249119 1473665492 1811347238 2210498238 2717020857 3622694476 4420996476 5434041714 10868083428 11773757047 23547514094 35321271141 47095028188 64302826949 70642542282 128605653898 141285084564 192908480847 257211307796 385816961694 771633923388 835936750337 1671873500674 2507810251011 3343747001348 5015620502022 10031241004044