Search a number
-
+
4137881040 = 243255747057
BaseRepresentation
bin1111011010100011…
…0000110111010000
3101200101011010200100
43312220300313100
531433244143130
61522333052400
7204353260056
oct36650606720
911611133610
104137881040
1118337a92a7
12975927100
1350c369427
142b37a61d6
1519340dc60
hexf6a30dd0

4137881040 has 60 divisors (see below), whose sum is σ = 13896386244. Its totient is φ = 1103434752.

The previous prime is 4137881017. The next prime is 4137881057. The reversal of 4137881040 is 401887314.

4137881040 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 2 ways, for example, as 3198581136 + 939299904 = 56556^2 + 30648^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 4137880986 and 4137881004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2872809 + ... + 2874248.

Almost surely, 24137881040 is an apocalyptic number.

4137881040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4137881040 is an abundant number, since it is smaller than the sum of its proper divisors (9758505204).

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

4137881040 is a wasteful number, since it uses less digits than its factorization.

4137881040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747076 (or 5747067 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 4137881040 is about 64326.3634911845. The cubic root of 4137881040 is about 1605.4347790006.

The spelling of 4137881040 in words is "four billion, one hundred thirty-seven million, eight hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 5747057 11494114 17241171 22988228 28735285 34482342 45976456 51723513 57470570 68964684 86205855 91952912 103447026 114941140 137929368 172411710 206894052 229882280 258617565 275858736 344823420 413788104 459764560 517235130 689646840 827576208 1034470260 1379293680 2068940520 4137881040