Search a number
-
+
430177426240 = 2651344304457
BaseRepresentation
bin1100100001010001001…
…00101001101101000000
31112010100210201110102011
412100220210221231000
524022000410114430
6525342031102304
743036124535352
oct6205044515500
91463323643364
10430177426240
11156489a40391
126b455671994
13317476b5983
1416b6bdd50d2
15b2cadbd22a
hex6428929b40

430177426240 has 28 divisors (see below), whose sum is σ = 1024359996996. Its totient is φ = 172070970368.

The previous prime is 430177426229. The next prime is 430177426243. The reversal of 430177426240 is 42624771034.

It can be written as a sum of positive squares in 2 ways, for example, as 310400522496 + 119776903744 = 557136^2 + 346088^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 430177426193 and 430177426202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430177426243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 672151909 + ... + 672152548.

It is an arithmetic number, because the mean of its divisors is an integer number (36584285607).

Almost surely, 2430177426240 is an apocalyptic number.

430177426240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430177426240 is an abundant number, since it is smaller than the sum of its proper divisors (594182570756).

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

430177426240 is a wasteful number, since it uses less digits than its factorization.

430177426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344304474 (or 1344304464 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 430177426240 in words is "four hundred thirty billion, one hundred seventy-seven million, four hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1344304457 2688608914 5377217828 6721522285 10754435656 13443044570 21508871312 26886089140 43017742624 53772178280 86035485248 107544356560 215088713120 430177426240