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1043414340040 = 235173734113761
BaseRepresentation
bin11110010111100000101…
…01110101000111001000
310200202020100011102000001
433023300111311013020
5114043403032340130
62115200554252344
7135245531360662
oct17136025650710
93622210142001
101043414340040
11372567214166
1214a2794270b4
1377516825047
1438704275532
151c21cd896ca
hexf2f05751c8

1043414340040 has 64 divisors (see below), whose sum is σ = 2492446120560. Its totient is φ = 391761592320.

The previous prime is 1043414340013. The next prime is 1043414340097. The reversal of 1043414340040 is 400434143401.

It is a happy number.

1043414340040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 487486032804 + 555928307236 = 698202^2 + 745606^2 .

It is a super-2 number, since 2×10434143400402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1043414339990 and 1043414340008.

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, 1803241 + ... + 2310520.

Almost surely, 21043414340040 is an apocalyptic number.

1043414340040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1043414340040 is an abundant number, since it is smaller than the sum of its proper divisors (1449031780520).

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

1043414340040 is a wasteful number, since it uses less digits than its factorization.

1043414340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114162 (or 4114158 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1043414340040 its reverse (400434143401), we get a palindrome (1443848483441).

The spelling of 1043414340040 in words is "one trillion, forty-three billion, four hundred fourteen million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 373 680 746 1492 1865 2984 3730 6341 7460 12682 14920 25364 31705 50728 63410 126820 253640 4113761 8227522 16455044 20568805 32910088 41137610 69933937 82275220 139867874 164550440 279735748 349669685 559471496 699339370 1398678740 1534432853 2797357480 3068865706 6137731412 7672164265 12275462824 15344328530 26085358501 30688657060 52170717002 61377314120 104341434004 130426792505 208682868008 260853585010 521707170020 1043414340040