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4040143440 = 243560727733
BaseRepresentation
bin1111000011001111…
…1011001001010000
3101102120020112220020
43300303323021100
531233234042230
61504522143440
7202055436564
oct36063731120
911376215806
104040143440
111793612623
12949051b80
134c5038628
142a48036a4
15189a54810
hexf0cfb250

4040143440 has 80 divisors (see below), whose sum is σ = 12545530368. Its totient is φ = 1075557888.

The previous prime is 4040143433. The next prime is 4040143501. The reversal of 4040143440 is 443410404.

4040143440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4040143440.

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, 131814 + ... + 159546.

Almost surely, 24040143440 is an apocalyptic number.

4040143440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272765184).

4040143440 is an abundant number, since it is smaller than the sum of its proper divisors (8505386928).

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

4040143440 is a wasteful number, since it uses less digits than its factorization.

4040143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28356 (or 28350 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4040143440 is about 63562.1226832459. The cubic root of 4040143440 is about 1592.6936974153.

Adding to 4040143440 its reverse (443410404), we get a palindrome (4483553844).

The spelling of 4040143440 in words is "four billion, forty million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 607 1214 1821 2428 3035 3642 4856 6070 7284 9105 9712 12140 14568 18210 24280 27733 29136 36420 48560 55466 72840 83199 110932 138665 145680 166398 221864 277330 332796 415995 443728 554660 665592 831990 1109320 1331184 1663980 2218640 3327960 6655920 16833931 33667862 50501793 67335724 84169655 101003586 134671448 168339310 202007172 252508965 269342896 336678620 404014344 505017930 673357240 808028688 1010035860 1346714480 2020071720 4040143440