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1441323072 = 2634739719
BaseRepresentation
bin101010111101000…
…1101100001000000
310201110002210120000
41111322031201000
510422434314242
6355004320000
750501021040
oct12572154100
93643083500
101441323072
1167a6533a2
12342843000
1319c7b95b7
14d95cb720
1586808a4c
hex55e8d840

1441323072 has 140 divisors (see below), whose sum is σ = 4883017920. Its totient is φ = 411796224.

The previous prime is 1441323029. The next prime is 1441323119. The reversal of 1441323072 is 2703231441.

It is a happy number.

1441323072 is a `hidden beast` number, since 14 + 413 + 230 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16429 + ... + 56147.

Almost surely, 21441323072 is an apocalyptic number.

1441323072 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 1441323072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441508960).

1441323072 is an abundant number, since it is smaller than the sum of its proper divisors (3441694848).

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

1441323072 is an equidigital number, since it uses as much as digits as its factorization.

1441323072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39750 (or 39731 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1441323072 is about 37964.7609237830. The cubic root of 1441323072 is about 1129.5889783504.

The spelling of 1441323072 in words is "one billion, four hundred forty-one million, three hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 36288 39719 79438 119157 158876 238314 278033 317752 357471 476628 556066 635504 714942 834099 953256 1072413 1112132 1271008 1429884 1668198 1906512 2144826 2224264 2502297 2542016 2859768 3217239 3336396 3813024 4289652 4448528 5004594 5719536 6434478 6672792 7506891 7626048 8579304 8897056 10009188 11439072 12868956 13345584 15013782 17158608 17794112 20018376 22520673 22878144 25737912 26691168 30027564 34317216 40036752 45041346 51475824 53382336 60055128 68634432 80073504 90082692 102951648 120110256 160147008 180165384 205903296 240220512 360330768 480441024 720661536 1441323072