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444424300432 = 24779713033821
BaseRepresentation
bin1100111011110011100…
…00001010011110010000
31120111010200201122201021
412131321300022132100
524240140110103212
6540055443045224
744052151136620
oct6357160123620
91514120648637
10444424300432
1116152aa27882
1272170970814
1332ba81b1548
14177201b2880
15b861a19307
hex6779c0a790

444424300432 has 80 divisors (see below), whose sum is σ = 986331370752. Its totient is φ = 190032837120.

The previous prime is 444424300381. The next prime is 444424300457. The reversal of 444424300432 is 234003424444.

It is a super-3 number, since 3×4444243004323 (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116309082 + ... + 116312902.

Almost surely, 2444424300432 is an apocalyptic number.

It is an amenable number.

444424300432 is an abundant number, since it is smaller than the sum of its proper divisors (541907070320).

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

444424300432 is a wasteful number, since it uses less digits than its factorization.

444424300432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936 (or 5930 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 444424300432 its reverse (234003424444), we get a palindrome (678427724876).

The spelling of 444424300432 in words is "four hundred forty-four billion, four hundred twenty-four million, three hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 797 1303 1594 2606 3188 3821 5212 5579 6376 7642 9121 10424 11158 12752 15284 18242 20848 22316 26747 30568 36484 44632 53494 61136 72968 89264 106988 145936 213976 427952 1038491 2076982 3045337 4153964 4978763 6090674 7269437 8307928 9957526 12181348 14538874 16615856 19915052 21317359 24362696 29077748 34851341 39830104 42634718 48725392 58155496 69702682 79660208 85269436 116310992 139405364 170538872 278810728 341077744 557621456 3968074111 7936148222 15872296444 27776518777 31744592888 55553037554 63489185776 111106075108 222212150216 444424300432