Search a number
-
+
4014403440 = 243523727247
BaseRepresentation
bin1110111101000110…
…1110111101110000
3101100202210211020220
43233101232331300
531210141402230
61502202333040
7201323603055
oct35721567560
911322724226
104014403440
1117800317a3
129404ba180
134bc8c5668
142a122302c
1518766cd10
hexef46ef70

4014403440 has 80 divisors (see below), whose sum is σ = 12985740288. Its totient is φ = 1023962368.

The previous prime is 4014403369. The next prime is 4014403447. The reversal of 4014403440 is 443044104.

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

It is a super-2 number, since 2×40144034402 = 32230869958167667200, which contains 22 as substring.

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 4014403440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014403447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358104 + ... + 369143.

Almost surely, 24014403440 is an apocalyptic number.

4014403440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014403440 is an abundant number, since it is smaller than the sum of its proper divisors (8971336848).

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

4014403440 is a wasteful number, since it uses less digits than its factorization.

4014403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727286 (or 727280 counting only the distinct ones).

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

The square root of 4014403440 is about 63359.3200721094. The cubic root of 4014403440 is about 1589.3041058998.

Adding to 4014403440 its reverse (443044104), we get a palindrome (4457447544).

The spelling of 4014403440 in words is "four billion, fourteen million, four hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 727247 1454494 2181741 2908988 3636235 4363482 5817976 7272470 8726964 10908705 11635952 14544940 16726681 17453928 21817410 29089880 33453362 34907856 43634820 50180043 58179760 66906724 83633405 87269640 100360086 133813448 167266810 174539280 200720172 250900215 267626896 334533620 401440344 501800430 669067240 802880688 1003600860 1338134480 2007201720 4014403440