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1444141512 = 2332111925051
BaseRepresentation
bin101011000010011…
…1101100111001000
310201122101222201200
41112010331213020
510424200012022
6355144544200
750534000052
oct12604754710
93648358650
101444141512
116811a8990
12343782060
131a0265408
14d9b228d2
1586bb3bac
hex5613d9c8

1444141512 has 144 divisors (see below), whose sum is σ = 4504060080. Its totient is φ = 414504000.

The previous prime is 1444141499. The next prime is 1444141513. The reversal of 1444141512 is 2151414441.

It is a happy number.

1444141512 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 141 + 512 = 666.

It is a super-2 number, since 2×14441415122 = 4171089413363292288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1444141513) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 283387 + ... + 288437.

It is an arithmetic number, because the mean of its divisors is an integer number (31278195).

Almost surely, 21444141512 is an apocalyptic number.

1444141512 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 1444141512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252030040).

1444141512 is an abundant number, since it is smaller than the sum of its proper divisors (3059918568).

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

1444141512 is a wasteful number, since it uses less digits than its factorization.

1444141512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112 (or 5086 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 1444141512 is about 38001.8619543832. The cubic root of 1444141512 is about 1130.3247851229.

Adding to 1444141512 its reverse (2151414441), we get a palindrome (3595555953).

The spelling of 1444141512 in words is "one billion, four hundred forty-four million, one hundred forty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 361 396 418 456 627 684 722 792 836 1083 1254 1368 1444 1672 1881 2166 2508 2888 3249 3762 3971 4332 5016 5051 6498 7524 7942 8664 10102 11913 12996 15048 15153 15884 20204 23826 25992 30306 31768 35739 40408 45459 47652 55561 60612 71478 90918 95304 95969 111122 121224 142956 166683 181836 191938 222244 285912 287907 333366 363672 383876 444488 500049 575814 666732 767752 863721 1000098 1055659 1151628 1333464 1727442 1823411 2000196 2111318 2303256 3166977 3454884 3646822 4000392 4222636 5470233 6333954 6909768 7293644 8445272 9500931 10940466 12667908 14587288 16410699 19001862 20057521 21880932 25335816 32821398 38003724 40115042 43761864 60172563 65642796 76007448 80230084 120345126 131285592 160460168 180517689 240690252 361035378 481380504 722070756 1444141512