Search a number
-
+
4139929440 = 25345319439
BaseRepresentation
bin1111011011000010…
…0100111101100000
3101200112000012120000
43312300210331200
531434310220230
61522445020000
7204406551063
oct36660447540
911615005500
104139929440
111834978299
12976554600
1350c9058ba
142b3b7a8da
151936b5b60
hexf6c24f60

4139929440 has 120 divisors (see below), whose sum is σ = 14610546720. Its totient is φ = 1103977728.

The previous prime is 4139929439. The next prime is 4139929457. The reversal of 4139929440 is 449299314.

4139929440 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 146760 + ... + 172679.

It is an arithmetic number, because the mean of its divisors is an integer number (121754556).

Almost surely, 24139929440 is an apocalyptic number.

4139929440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4139929440 is an abundant number, since it is smaller than the sum of its proper divisors (10470617280).

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

4139929440 is a wasteful number, since it uses less digits than its factorization.

4139929440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319466 (or 319449 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 4139929440 is about 64342.2834534181. The cubic root of 4139929440 is about 1605.6996512919.

The spelling of 4139929440 in words is "four billion, one hundred thirty-nine million, nine hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 319439 638878 958317 1277756 1597195 1916634 2555512 2874951 3194390 3833268 4791585 5111024 5749902 6388780 7666536 8624853 9583170 10222048 11499804 12777560 14374755 15333072 17249706 19166340 22999608 25555120 25874559 28749510 30666144 34499412 38332680 43124265 45999216 51110240 51749118 57499020 68998824 76665360 86248530 91998432 103498236 114998040 129372795 137997648 153330720 172497060 206996472 229996080 258745590 275995296 344994120 413992944 459992160 517491180 689988240 827985888 1034982360 1379976480 2069964720 4139929440