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440003312320 = 26511139615457
BaseRepresentation
bin1100110011100100011…
…11011011101011000000
31120001201120212012010211
412121302033123223000
524202111321443240
6534045034003504
743534456305505
oct6316217335300
91501646765124
10440003312320
1115a671442aa0
1271338276594
13326522b0450
1417420d934ac
15b6a3836bea
hex66723dbac0

440003312320 has 112 divisors (see below), whose sum is σ = 1230932471328. Its totient is φ = 147693404160.

The previous prime is 440003312297. The next prime is 440003312327. The reversal of 440003312320 is 23213300044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 440003312291 and 440003312300.

It is not an unprimeable number, because it can be changed into a prime (440003312327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4761969 + ... + 4853488.

It is an arithmetic number, because the mean of its divisors is an integer number (10990468494).

Almost surely, 2440003312320 is an apocalyptic number.

440003312320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440003312320 is an abundant number, since it is smaller than the sum of its proper divisors (790929159008).

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

440003312320 is a wasteful number, since it uses less digits than its factorization.

440003312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9615498 (or 9615488 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 440003312320 its reverse (23213300044), we get a palindrome (463216612364).

The spelling of 440003312320 in words is "four hundred forty billion, three million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 130 143 160 176 208 220 260 286 320 352 416 440 520 572 704 715 832 880 1040 1144 1430 1760 2080 2288 2860 3520 4160 4576 5720 9152 11440 22880 45760 9615457 19230914 38461828 48077285 76923656 96154570 105770027 125000941 153847312 192309140 211540054 250001882 307694624 384618280 423080108 500003764 528850135 615389248 625004705 769236560 846160216 1000007528 1057700270 1250009410 1375010351 1538473120 1692320432 2000015056 2115400540 2500018820 2750020702 3076946240 3384640864 4000030112 4230801080 5000037640 5500041404 6769281728 6875051755 8000060224 8461602160 10000075280 11000082808 13750103510 16923204320 20000150560 22000165616 27500207020 33846408640 40000301120 44000331232 55000414040 88000662464 110000828080 220001656160 440003312320