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1443361680 = 2436524749
BaseRepresentation
bin101011000000111…
…1111001110010000
310201120221101000000
41112001333032100
510424000033210
6355120130000
750524241355
oct12601771620
93646841000
101443361680
11680815aa2
12343466900
131a0051487
14d999c62c
1586aacac0
hex5607f390

1443361680 has 140 divisors (see below), whose sum is σ = 5031625500. Its totient is φ = 384880896.

The previous prime is 1443361631. The next prime is 1443361691. The reversal of 1443361680 is 861633441.

It is a happy number.

1443361680 is a `hidden beast` number, since 1 + 4 + 4 + 33 + 616 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1077940224 + 365421456 = 32832^2 + 19116^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 45946 + ... + 70694.

Almost surely, 21443361680 is an apocalyptic number.

1443361680 is a gapful number since it is divisible by the number (10) 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 1443361680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515812750).

1443361680 is an abundant number, since it is smaller than the sum of its proper divisors (3588263820).

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

1443361680 is an equidigital number, since it uses as much as digits as its factorization.

1443361680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24780 (or 24759 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1443361680 is about 37991.6001242380. The cubic root of 1443361680 is about 1130.1212911807.

The spelling of 1443361680 in words is "one billion, four hundred forty-three million, three hundred sixty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2916 3240 3645 3888 4860 5832 6480 7290 9720 11664 14580 19440 24749 29160 49498 58320 74247 98996 123745 148494 197992 222741 247490 296988 371235 395984 445482 494980 593976 668223 742470 890964 989960 1113705 1187952 1336446 1484940 1781928 1979920 2004669 2227410 2672892 2969880 3341115 3563856 4009338 4454820 5345784 5939760 6014007 6682230 8018676 8909640 10023345 10691568 12028014 13364460 16037352 17819280 18042021 20046690 24056028 26728920 30070035 32074704 36084042 40093380 48112056 53457840 60140070 72168084 80186760 90210105 96224112 120280140 144336168 160373520 180420210 240560280 288672336 360840420 481120560 721680840 1443361680