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1444335104 = 2959137349
BaseRepresentation
bin101011000010110…
…1100111000000000
310201122202211021202
41112011230320000
510424222210404
6355153040332
750535434342
oct12605547000
93648684252
101444335104
11681320383
123438560a8
131a0302574
14d9b73292
1586c0121e
hex5616ce00

1444335104 has 80 divisors (see below), whose sum is σ = 2964654000. Its totient is φ = 702726144.

The previous prime is 1444335089. The next prime is 1444335121. The reversal of 1444335104 is 4015334441.

1444335104 = T3951 + T3952 + ... + T4127.

It is a happy number.

It is a super-2 number, since 2×14443351042 = 4172207785293381632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4138322 + ... + 4138670.

It is an arithmetic number, because the mean of its divisors is an integer number (37058175).

Almost surely, 21444335104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482327000).

1444335104 is an abundant number, since it is smaller than the sum of its proper divisors (1520318896).

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

1444335104 is an equidigital number, since it uses as much as digits as its factorization.

1444335104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 1444335104 is about 38004.4090073770. The cubic root of 1444335104 is about 1130.3752908055.

Adding to 1444335104 its reverse (4015334441), we get a palindrome (5459669545).

The spelling of 1444335104 in words is "one billion, four hundred forty-four million, three hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 59 64 118 128 137 236 256 274 349 472 512 548 698 944 1096 1396 1888 2192 2792 3776 4384 5584 7552 8083 8768 11168 15104 16166 17536 20591 22336 30208 32332 35072 41182 44672 47813 64664 70144 82364 89344 95626 129328 164728 178688 191252 258656 329456 382504 517312 658912 765008 1034624 1317824 1530016 2069248 2635648 2820967 3060032 4138496 5271296 5641934 6120064 10542592 11283868 12240128 22567736 24480256 45135472 90270944 180541888 361083776 722167552 1444335104