Search a number
-
+
34444312425 = 3452171576373
BaseRepresentation
bin100000000101000010…
…100111111101101001
310021220111001100220000
4200011002213331221
51031020220444200
623453513053213
72326363552635
oct400502477551
9107814040800
1034444312425
1113675a09806
1268133b7209
13332c071773
14194a7b9dc5
15d68db7300
hex8050a7f69

34444312425 has 120 divisors (see below), whose sum is σ = 67996837656. Its totient is φ = 17176872960.

The previous prime is 34444312351. The next prime is 34444312439. The reversal of 34444312425 is 52421344443.

34444312425 is a `hidden beast` number, since 344 + 44 + 31 + 242 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3314650329 + 31129662096 = 57573^2 + 176436^2 .

It is not a de Polignac number, because 34444312425 - 214 = 34444296041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34444312425.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5401539 + ... + 5407911.

Almost surely, 234444312425 is an apocalyptic number.

It is an amenable number.

34444312425 is a deficient number, since it is larger than the sum of its proper divisors (33552525231).

34444312425 is a wasteful number, since it uses less digits than its factorization.

34444312425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6569 (or 6555 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

Adding to 34444312425 its reverse (52421344443), we get a palindrome (86865656868).

The spelling of 34444312425 in words is "thirty-four billion, four hundred forty-four million, three hundred twelve thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 135 153 157 225 255 405 425 459 471 675 765 785 1275 1377 1413 2025 2295 2355 2669 3825 3925 4239 6373 6885 7065 8007 11475 11775 12717 13345 19119 21195 24021 31865 34425 35325 40035 57357 63585 66725 72063 95595 105975 108341 120105 159325 172071 200175 216189 286785 317925 325023 360315 477975 516213 541705 600525 860355 975069 1000561 1080945 1433925 1625115 1801575 2581065 2708525 2925207 3001683 4301775 4875345 5002805 5404725 8125575 8775621 9005049 12905325 14626035 15008415 17009537 24376725 25014025 27015147 43878105 45025245 51028611 73130175 75042075 81045441 85047685 135075735 153085833 219390525 225126225 255143055 405227205 425238425 459257499 675378675 765429165 1275715275 1377772497 2026136025 2296287495 3827145825 6888862485 11481437475 34444312425