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10014011024 = 24171011033539
BaseRepresentation
bin10010101001110000…
…11010111010010000
3221211220010110122012
421110320122322100
5131002041323044
64333403002052
7503104455263
oct112470327220
927756113565
1010014011024
114279714776
121b35809328
13c37884914
146add6ccda
153d922959e
hex254e1ae90

10014011024 has 80 divisors (see below), whose sum is σ = 20954194560. Its totient is φ = 4619212800.

The previous prime is 10014011023. The next prime is 10014011053. The reversal of 10014011024 is 42011041001.

It is not an unprimeable number, because it can be changed into a prime (10014011023) 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, 2827847 + ... + 2831385.

It is an arithmetic number, because the mean of its divisors is an integer number (261927432).

Almost surely, 210014011024 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 10014011024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10477097280).

10014011024 is an abundant number, since it is smaller than the sum of its proper divisors (10940183536).

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

10014011024 is a wasteful number, since it uses less digits than its factorization.

10014011024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10014011024 its reverse (42011041001), we get a palindrome (52025052025).

The spelling of 10014011024 in words is "ten billion, fourteen million, eleven thousand, twenty-four".

Divisors: 1 2 4 8 16 17 34 68 101 103 136 202 206 272 404 412 808 824 1616 1648 1717 1751 3434 3502 3539 6868 7004 7078 10403 13736 14008 14156 20806 27472 28016 28312 41612 56624 60163 83224 120326 166448 176851 240652 353702 357439 364517 481304 707404 714878 729034 962608 1414808 1429756 1458068 2829616 2859512 2916136 5719024 5832272 6076463 6196789 12152926 12393578 24305852 24787156 36816217 48611704 49574312 73632434 97223408 99148624 147264868 294529736 589059472 625875689 1251751378 2503502756 5007005512 10014011024