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1441064352 = 253713212689
BaseRepresentation
bin101010111100100…
…1110010110100000
310201102121122122210
41111321032112200
510422403024402
6354555002120
750465562540
oct12571162640
93642548583
101441064352
1167a496a82
12342739340
1319c728900
14d9561320
15867a706c
hex55e4e5a0

1441064352 has 144 divisors (see below), whose sum is σ = 4681696320. Its totient is φ = 380030976.

The previous prime is 1441064323. The next prime is 1441064353. The reversal of 1441064352 is 2534601441.

It is not an unprimeable number, because it can be changed into a prime (1441064353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107224 + ... + 119912.

It is an arithmetic number, because the mean of its divisors is an integer number (32511780).

Almost surely, 21441064352 is an apocalyptic number.

1441064352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441064352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340848160).

1441064352 is an abundant number, since it is smaller than the sum of its proper divisors (3240631968).

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

1441064352 is a wasteful number, since it uses less digits than its factorization.

1441064352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12735 (or 12714 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1441064352 is about 37961.3534005309. The cubic root of 1441064352 is about 1129.5213865768.

Adding to 1441064352 its reverse (2534601441), we get a palindrome (3975665793).

The spelling of 1441064352 in words is "one billion, four hundred forty-one million, sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 169 182 208 224 273 312 336 338 364 416 507 546 624 672 676 728 1014 1092 1183 1248 1352 1456 2028 2184 2366 2704 2912 3549 4056 4368 4732 5408 7098 8112 8736 9464 12689 14196 16224 18928 25378 28392 37856 38067 50756 56784 76134 88823 101512 113568 152268 164957 177646 203024 266469 304536 329914 355292 406048 494871 532938 609072 659828 710584 989742 1065876 1154699 1218144 1319656 1421168 1979484 2131752 2144441 2309398 2639312 2842336 3464097 3958968 4263504 4288882 4618796 5278624 6433323 6928194 7917936 8527008 8577764 9237592 12866646 13856388 15011087 15835872 17155528 18475184 25733292 27712776 30022174 34311056 36950368 45033261 51466584 55425552 60044348 68622112 90066522 102933168 110851104 120088696 180133044 205866336 240177392 360266088 480354784 720532176 1441064352