Search a number
-
+
4124420640 = 25335954727
BaseRepresentation
bin1111010111010101…
…1010101000100000
3101122102211021111000
43311311122220200
531421322430030
61521132352000
7204130665654
oct36565325040
911572737430
104124420640
1118271452aa
12971315600
135096357b2
142b1aa0a64
15192150860
hexf5d5aa20

4124420640 has 96 divisors (see below), whose sum is σ = 14435487360. Its totient is φ = 1099844352.

The previous prime is 4124420627. The next prime is 4124420647. The reversal of 4124420640 is 460244214.

It is a happy number.

4124420640 is a `hidden beast` number, since 4 + 12 + 4 + 4 + 2 + 0 + 640 = 666.

4124420640 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4124420647) 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, 473044 + ... + 481683.

It is an arithmetic number, because the mean of its divisors is an integer number (150369660).

Almost surely, 24124420640 is an apocalyptic number.

4124420640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4124420640 is an abundant number, since it is smaller than the sum of its proper divisors (10311066720).

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

4124420640 is a wasteful number, since it uses less digits than its factorization.

4124420640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954751 (or 954737 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4124420640 is about 64221.6524234623. The cubic root of 4124420640 is about 1603.6920779637.

Adding to 4124420640 its reverse (460244214), we get a palindrome (4584664854).

The spelling of 4124420640 in words is "four billion, one hundred twenty-four million, four hundred twenty thousand, six 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 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 954727 1909454 2864181 3818908 4773635 5728362 7637816 8592543 9547270 11456724 14320905 15275632 17185086 19094540 22913448 25777629 28641810 30551264 34370172 38189080 42962715 45826896 51555258 57283620 68740344 76378160 85925430 91653792 103110516 114567240 128888145 137480688 152756320 171850860 206221032 229134480 257776290 274961376 343701720 412442064 458268960 515552580 687403440 824884128 1031105160 1374806880 2062210320 4124420640