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1144354144 = 25236171359
BaseRepresentation
bin100010000110101…
…0111010101100000
32221202022012202211
41010031113111200
54320423313034
6305315251504
740233564313
oct10415272540
92852265684
101144354144
11537a5a22a
1227b2a9b94
1315311033b
14abda697a
156a6e7d64
hex44357560

1144354144 has 96 divisors (see below), whose sum is σ = 2429844480. Its totient is φ = 529267200.

The previous prime is 1144354109. The next prime is 1144354163. The reversal of 1144354144 is 4414534411.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3187437 + ... + 3187795.

It is an arithmetic number, because the mean of its divisors is an integer number (25310880).

Almost surely, 21144354144 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 1144354144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214922240).

1144354144 is an abundant number, since it is smaller than the sum of its proper divisors (1285490336).

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

1144354144 is a wasteful number, since it uses less digits than its factorization.

1144354144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its digits is 15360, while the sum is 31.

The square root of 1144354144 is about 33828.3038889034. The cubic root of 1144354144 is about 1045.9722167113.

Adding to 1144354144 its reverse (4414534411), we get a palindrome (5558888555).

The spelling of 1144354144 in words is "one billion, one hundred forty-four million, three hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 61 71 92 122 142 184 244 284 359 368 488 568 718 736 976 1136 1403 1436 1633 1952 2272 2806 2872 3266 4331 5612 5744 6532 8257 8662 11224 11488 13064 16514 17324 21899 22448 25489 26128 33028 34648 43798 44896 50978 52256 66056 69296 87596 99613 101956 132112 138592 175192 199226 203912 264224 350384 398452 407824 503677 586247 700768 796904 815648 1007354 1172494 1554829 1593808 2014708 2344988 3109658 3187616 4029416 4689976 6219316 8058832 9379952 12438632 16117664 18759904 24877264 35761067 49754528 71522134 143044268 286088536 572177072 1144354144