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440234414133 = 337431073732311
BaseRepresentation
bin1100110100000000000…
…01000001000000110101
31120002022200201101020020
412122000001001000311
524203100002223013
6534124011155353
743543263530643
oct6320001010065
91502280641206
10440234414133
1115a77a939228
12713a1745b59
133268b137097
1417443950193
15b6b8c86623
hex6680041035

440234414133 has 64 divisors (see below), whose sum is σ = 624567601152. Its totient is φ = 275449870080.

The previous prime is 440234414063. The next prime is 440234414141. The reversal of 440234414133 is 331414432044.

It is not a de Polignac number, because 440234414133 - 28 = 440234413877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 440234414094 and 440234414103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440234414173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190494048 + ... + 190496358.

It is an arithmetic number, because the mean of its divisors is an integer number (9758868768).

Almost surely, 2440234414133 is an apocalyptic number.

440234414133 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

440234414133 is a deficient number, since it is larger than the sum of its proper divisors (184333187019).

440234414133 is a wasteful number, since it uses less digits than its factorization.

440234414133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 440234414133 its reverse (331414432044), we get a palindrome (771648846177).

The spelling of 440234414133 in words is "four hundred forty billion, two hundred thirty-four million, four hundred fourteen thousand, one hundred thirty-three".

Divisors: 1 3 37 43 107 111 129 321 373 1119 1591 2311 3959 4601 4773 6933 11877 13801 13803 16039 39911 41403 48117 85507 99373 119733 170237 247277 256521 298119 510711 593443 741831 862003 1476707 1716173 1780329 2586009 3676801 4430121 5148519 9149249 10632911 11030403 27447747 31894111 31898733 37066129 63498401 92234321 95682333 111198387 190495203 276702963 393417707 1180253121 1371446773 3412669877 3966075803 4114340319 10238009631 11898227409 146744804711 440234414133