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4455134240 = 2551710116217
BaseRepresentation
bin1000010011000101…
…11111010000100000
3102111111010021020212
410021202333100200
533111003243430
62014024553252
7215255005364
oct41142772040
912444107225
104455134240
111986897327
12a44022828
1355ccc830b
1430398b2a4
151b11c9b95
hex1098bf420

4455134240 has 96 divisors (see below), whose sum is σ = 11255421744. Its totient is φ = 1660518400.

The previous prime is 4455134237. The next prime is 4455134267. The reversal of 4455134240 is 424315544.

It can be written as a sum of positive squares in 8 ways, for example, as 4176778384 + 278355856 = 64628^2 + 16684^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4455134197 and 4455134206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266612 + ... + 282828.

Almost surely, 24455134240 is an apocalyptic number.

4455134240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4455134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627710872).

4455134240 is an abundant number, since it is smaller than the sum of its proper divisors (6800287504).

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

4455134240 is a wasteful number, since it uses less digits than its factorization.

4455134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16350 (or 16342 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The square root of 4455134240 is about 66746.7919828361. The cubic root of 4455134240 is about 1645.4584926217.

Adding to 4455134240 its reverse (424315544), we get a palindrome (4879449784).

The spelling of 4455134240 in words is "four billion, four hundred fifty-five million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 101 136 160 170 202 272 340 404 505 544 680 808 1010 1360 1616 1717 2020 2720 3232 3434 4040 6868 8080 8585 13736 16160 16217 17170 27472 32434 34340 54944 64868 68680 81085 129736 137360 162170 259472 274720 275689 324340 518944 551378 648680 1102756 1297360 1378445 1637917 2205512 2594720 2756890 3275834 4411024 5513780 6551668 8189585 8822048 11027560 13103336 16379170 22055120 26206672 27844589 32758340 44110240 52413344 55689178 65516680 111378356 131033360 139222945 222756712 262066720 278445890 445513424 556891780 891026848 1113783560 2227567120 4455134240