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1143314304 = 27311535107
BaseRepresentation
bin100010000100101…
…1001011110000000
32221200100101101020
41010021121132000
54320142024204
6305241105440
740222003566
oct10411313600
92850311336
101143314304
11537409a60
1227aa88280
13152b37c52
14abbb5a36
156a58ebd9
hex44259780

1143314304 has 128 divisors (see below), whose sum is σ = 3376183680. Its totient is φ = 339855360.

The previous prime is 1143314281. The next prime is 1143314309. The reversal of 1143314304 is 4034133411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143314309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221319 + ... + 226425.

It is an arithmetic number, because the mean of its divisors is an integer number (26376435).

Almost surely, 21143314304 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 1143314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688091840).

1143314304 is an abundant number, since it is smaller than the sum of its proper divisors (2232869376).

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

1143314304 is a wasteful number, since it uses less digits than its factorization.

1143314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1143314304 is about 33812.9310175856. The cubic root of 1143314304 is about 1045.6553062635.

Adding to 1143314304 its reverse (4034133411), we get a palindrome (5177447715).

The spelling of 1143314304 in words is "one billion, one hundred forty-three million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 128 132 159 176 192 212 264 318 352 384 424 528 583 636 704 848 1056 1166 1272 1408 1696 1749 2112 2332 2544 3392 3498 4224 4664 5088 5107 6784 6996 9328 10176 10214 13992 15321 18656 20352 20428 27984 30642 37312 40856 55968 56177 61284 74624 81712 111936 112354 122568 163424 168531 223872 224708 245136 270671 326848 337062 449416 490272 541342 653696 674124 812013 898832 980544 1082684 1348248 1624026 1797664 1961088 2165368 2696496 2977381 3248052 3595328 4330736 5392992 5954762 6496104 7190656 8661472 8932143 10785984 11909524 12992208 17322944 17864286 21571968 23819048 25984416 34645888 35728572 47638096 51968832 71457144 95276192 103937664 142914288 190552384 285828576 381104768 571657152 1143314304