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440608518045 = 32553218672
BaseRepresentation
bin1100110100101100101…
…00000110111110011101
31120010021202122211022200
412122112110012332131
524204331240034140
6534225053402113
743555455415623
oct6322624067635
91503252584280
10440608518045
1115a952027013
1271486a99339
133271a7ac647
141747b4d3513
15b6dba32030
hex6696506f9d

440608518045 has 54 divisors (see below), whose sum is σ = 778820303898. Its totient is φ = 230433922368.

The previous prime is 440608517983. The next prime is 440608518107. The reversal of 440608518045 is 540815806044.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (440608517983) and next prime (440608518107).

It can be written as a sum of positive squares in 3 ways, for example, as 120590896644 + 320017621401 = 347262^2 + 565701^2 .

It is not a de Polignac number, because 440608518045 - 29 = 440608517533 is a prime.

It is a super-2 number, since 2×4406085180452 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 235997202 + ... + 235999068.

Almost surely, 2440608518045 is an apocalyptic number.

440608518045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

440608518045 is a deficient number, since it is larger than the sum of its proper divisors (338211785853).

440608518045 is an frugal number, since it uses more digits than its factorization.

440608518045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

Multiplying 440608518045 by its sum of digits (45), we get a square (19827383312025 = 44527952).

440608518045 divided by its sum of digits (45) gives a square (9791300401 = 989512).

The spelling of 440608518045 in words is "four hundred forty billion, six hundred eight million, five hundred eighteen thousand, forty-five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 1867 2385 2809 5601 8427 9335 14045 16803 25281 28005 42135 84015 98951 126405 296853 494755 890559 1484265 3485689 4452795 5244403 10457067 15733209 17428445 26222015 31371201 47199627 52285335 78666045 156856005 184741517 235998135 554224551 923707585 1662673653 2771122755 8313368265 9791300401 29373901203 48956502005 88121703609 146869506015 440608518045