Search a number
-
+
10514031424 = 2613311672441
BaseRepresentation
bin10011100101010111…
…10110001101000000
31000010202000010200021
421302223312031000
5133013043001144
64455144103224
7521355535561
oct116253661500
930122003607
1010514031424
114505995476
122055164b14
13cb7346090
1471a52c168
15418098884
hex272af6340

10514031424 has 112 divisors (see below), whose sum is σ = 23341925376. Its totient is φ = 4666060800.

The previous prime is 10514031383. The next prime is 10514031433. The reversal of 10514031424 is 42413041501.

It is a super-2 number, since 2×105140314242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4306044 + ... + 4308484.

It is an arithmetic number, because the mean of its divisors is an integer number (208410048).

Almost surely, 210514031424 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 10514031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11670962688).

10514031424 is an abundant number, since it is smaller than the sum of its proper divisors (12827893952).

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

10514031424 is a wasteful number, since it uses less digits than its factorization.

10514031424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 10514031424 its reverse (42413041501), we get a palindrome (52927072925).

The spelling of 10514031424 in words is "ten billion, five hundred fourteen million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 167 208 248 334 403 416 496 668 806 832 992 1336 1612 1984 2171 2441 2672 3224 4342 4882 5177 5344 6448 8684 9764 10354 10688 12896 17368 19528 20708 25792 31733 34736 39056 41416 63466 67301 69472 75671 78112 82832 126932 134602 138944 151342 156224 165664 253864 269204 302684 331328 407647 507728 538408 605368 815294 983723 1015456 1076816 1210736 1630588 1967446 2030912 2153632 2421472 3261176 3934892 4307264 4842944 5299411 6522352 7869784 10598822 12637057 13044704 15739568 21197644 25274114 26089408 31479136 42395288 50548228 62958272 84790576 101096456 164281741 169581152 202192912 328563482 339162304 404385824 657126964 808771648 1314253928 2628507856 5257015712 10514031424