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14318355024 = 2432193677761
BaseRepresentation
bin11010101010111000…
…01100001001010000
31100221212111210120100
431111130030021100
5213310444330044
610324444012400
71014552003201
oct152534141120
940855453510
1014318355024
11608837a066
122937231100
13147256542c
1499b8a75a8
1558c06a869
hex35570c250

14318355024 has 120 divisors (see below), whose sum is σ = 40391635752. Its totient is φ = 4734812160.

The previous prime is 14318355019. The next prime is 14318355041. The reversal of 14318355024 is 42055381341.

14318355024 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 83 + 550 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 839145024 + 13479210000 = 28968^2 + 116100^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14318355024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18814804 + ... + 18815564.

Almost surely, 214318355024 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 14318355024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20195817876).

14318355024 is an abundant number, since it is smaller than the sum of its proper divisors (26073280728).

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

14318355024 is a wasteful number, since it uses less digits than its factorization.

14318355024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 14318355024 in words is "fourteen billion, three hundred eighteen million, three hundred fifty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 386 579 677 761 772 1158 1354 1522 1544 1737 2031 2283 2316 2708 3044 3088 3474 4062 4566 4632 5416 6088 6093 6849 6948 8124 9132 9264 10832 12176 12186 13698 13896 16248 18264 24372 27396 27792 32496 36528 48744 54792 97488 109584 130661 146873 261322 293746 391983 440619 515197 522644 587492 783966 881238 1030394 1045288 1174984 1175949 1321857 1545591 1567932 1762476 2060788 2090576 2349968 2351898 2643714 3091182 3135864 3524952 4121576 4636773 4703796 5287428 6182364 6271728 7049904 8243152 9273546 9407592 10574856 12364728 18547092 18815184 21149712 24729456 37094184 74188368 99433021 198866042 298299063 397732084 596598126 795464168 894897189 1193196252 1590928336 1789794378 2386392504 3579588756 4772785008 7159177512 14318355024