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2444001312 = 253193143223
BaseRepresentation
bin1001000110101100…
…1000000000100000
320022022211010112010
42101223020000200
520001131020222
61042303232520
7114364445154
oct22153100040
96268733463
102444001312
1110446363a5
125825a8740
132cc45382c
14192835064
15e486880c
hex91ac8020

2444001312 has 96 divisors (see below), whose sum is σ = 6971166720. Its totient is φ = 746876160.

The previous prime is 2444001271. The next prime is 2444001359. The reversal of 2444001312 is 2131004442.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34933 + ... + 78155.

It is an arithmetic number, because the mean of its divisors is an integer number (72616320).

Almost surely, 22444001312 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 2444001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485583360).

2444001312 is an abundant number, since it is smaller than the sum of its proper divisors (4527165408).

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

2444001312 is a wasteful number, since it uses less digits than its factorization.

2444001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43286 (or 43278 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2444001312 is about 49436.8416466910. The cubic root of 2444001312 is about 1346.9986017471.

Adding to 2444001312 its reverse (2131004442), we get a palindrome (4575005754).

The spelling of 2444001312 in words is "two billion, four hundred forty-four million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 248 304 372 456 496 589 608 744 912 992 1178 1488 1767 1824 2356 2976 3534 4712 7068 9424 14136 18848 28272 43223 56544 86446 129669 172892 259338 345784 518676 691568 821237 1037352 1339913 1383136 1642474 2074704 2463711 2679826 3284948 4019739 4149408 4927422 5359652 6569896 8039478 9854844 10719304 13139792 16078956 19709688 21438608 25458347 26279584 32157912 39419376 42877216 50916694 64315824 76375041 78838752 101833388 128631648 152750082 203666776 305500164 407333552 611000328 814667104 1222000656 2444001312