Search a number
-
+
4064421113460 = 2232553426039949
BaseRepresentation
bin111011001001010010011…
…000000110111001110100
3112101112222111101100012100
4323021102120012321310
51013042413301112320
612351100322022100
7566434100303331
oct73112230067164
915345874340170
104064421113460
111327790839704
125578664a7930
1323637249ba96
14100a0d045988
1570ad1917790
hex3b252606e74

4064421113460 has 72 divisors (see below), whose sum is σ = 12561361885800. Its totient is φ = 1063395710208.

The previous prime is 4064421113443. The next prime is 4064421113477. The reversal of 4064421113460 is 643111244604.

4064421113460 is a `hidden beast` number, since 4 + 0 + 64 + 4 + 21 + 113 + 460 = 666.

It is an interprime number because it is at equal distance from previous prime (4064421113443) and next prime (4064421113477).

It can be written as a sum of positive squares in 4 ways, for example, as 216883941264 + 3847537172196 = 465708^2 + 1961514^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213010435 + ... + 213029514.

It is an arithmetic number, because the mean of its divisors is an integer number (174463359525).

Almost surely, 24064421113460 is an apocalyptic number.

It is an amenable number.

4064421113460 is an abundant number, since it is smaller than the sum of its proper divisors (8496940772340).

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

4064421113460 is a wasteful number, since it uses less digits than its factorization.

4064421113460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426040017 (or 426040012 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 4064421113460 in words is "four trillion, sixty-four billion, four hundred twenty-one million, one hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 426039949 852079898 1278119847 1704159796 2130199745 2556239694 3834359541 4260399490 5112479388 6390599235 7668719082 8520798980 12781198470 15337438164 19171797705 22580117297 25562396940 38343595410 45160234594 67740351891 76687190820 90320469188 112900586485 135480703782 203221055673 225801172970 270961407564 338701759455 406442111346 451602345940 677403518910 812884222692 1016105278365 1354807037820 2032210556730 4064421113460