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1144503216 = 243324110993
BaseRepresentation
bin100010000110111…
…1011101110110000
32221202120210021000
41010031323232300
54320443100331
6305322402000
740235055033
oct10415735660
92852523230
101144503216
1153805122a
1227b360300
1315316314c
14ac00501a
156a7270e6
hex4437bbb0

1144503216 has 80 divisors (see below), whose sum is σ = 3299079520. Its totient is φ = 379883520.

The previous prime is 1144503193. The next prime is 1144503221. The reversal of 1144503216 is 6123054411.

It is a happy number.

1144503216 is a `hidden beast` number, since 1 + 1 + 445 + 0 + 3 + 216 = 666.

It is a super-2 number, since 2×11445032162 = 2619775222868685312, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1144503216.

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, 98616 + ... + 109608.

It is an arithmetic number, because the mean of its divisors is an integer number (41238494).

Almost surely, 21144503216 is an apocalyptic number.

1144503216 is a gapful number since it is divisible by the number (16) 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 1144503216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649539760).

1144503216 is an abundant number, since it is smaller than the sum of its proper divisors (2154576304).

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

1144503216 is a wasteful number, since it uses less digits than its factorization.

1144503216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11251 (or 11239 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1144503216 is about 33830.5071791719. The cubic root of 1144503216 is about 1046.0176334210.

Adding to 1144503216 its reverse (6123054411), we get a palindrome (7267557627).

The spelling of 1144503216 in words is "one billion, one hundred forty-four million, five hundred three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 241 432 482 723 964 1446 1928 2169 2892 3856 4338 5784 6507 8676 10993 11568 13014 17352 21986 26028 32979 34704 43972 52056 65958 87944 98937 104112 131916 175888 197874 263832 296811 395748 527664 593622 791496 1187244 1582992 2374488 2649313 4748976 5298626 7947939 10597252 15895878 21194504 23843817 31791756 42389008 47687634 63583512 71531451 95375268 127167024 143062902 190750536 286125804 381501072 572251608 1144503216