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440240400222 = 237477315971913
BaseRepresentation
bin1100110100000000101…
…11110110011101011110
31120002100002222111121020
412122000113312131132
524203103020301342
6534124343345010
743543365442050
oct6320027663536
91502302874536
10440240400222
1115a783257707
12713a3752166
133268c45194c
141744466b8d0
15b6b956a0ec
hex66805f675e

440240400222 has 128 divisors (see below), whose sum is σ = 1042948583424. Its totient is φ = 121280882688.

The previous prime is 440240400191. The next prime is 440240400233. The reversal of 440240400222 is 222004042044.

It is a junction number, because it is equal to n+sod(n) for n = 440240400192 and 440240400201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230129938 + ... + 230131850.

It is an arithmetic number, because the mean of its divisors is an integer number (8148035808).

Almost surely, 2440240400222 is an apocalyptic number.

440240400222 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 440240400222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521474291712).

440240400222 is an abundant number, since it is smaller than the sum of its proper divisors (602708183202).

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

440240400222 is a wasteful number, since it uses less digits than its factorization.

440240400222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642.

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 440240400222 its reverse (222004042044), we get a palindrome (662244442266).

The spelling of 440240400222 in words is "four hundred forty billion, two hundred forty million, four hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 47 73 94 141 146 219 282 329 438 511 658 987 1022 1533 1597 1913 1974 3066 3194 3431 3826 4791 5739 6862 9582 10293 11179 11478 13391 20586 22358 24017 26782 33537 40173 48034 67074 72051 75059 80346 89911 116581 139649 144102 150118 179822 225177 233162 269733 279298 349743 418947 450354 525413 539466 629377 699486 816067 837894 977543 1050826 1258754 1576239 1632134 1888131 1955086 2448201 2932629 3055061 3152478 3776262 4896402 5479307 5865258 6110122 6563503 9165183 10958614 13127006 16437921 18330366 19690509 21385427 32875842 38355149 39381018 42770854 45944521 64156281 76710298 91889042 115065447 128312562 137833563 143587867 223019453 230130894 275667126 287175734 430763601 446038906 669058359 861527202 1005115069 1338116718 1561136171 2010230138 3015345207 3122272342 4683408513 6030690414 9366817026 10481914291 20963828582 31445742873 62891485746 73373400037 146746800074 220120200111 440240400222