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1143053424 = 24337183449
BaseRepresentation
bin100010000100001…
…1001110001110000
32221122212010112000
41010020121301300
54320110202144
6305231334000
740216536162
oct10410316160
92848763460
101143053424
11537250a57
1227a981300
13152a76296
14abb48932
156a53c769
hex44219c70

1143053424 has 160 divisors (see below), whose sum is σ = 3374784000. Its totient is φ = 370298880.

The previous prime is 1143053399. The next prime is 1143053479. The reversal of 1143053424 is 4243503411.

It is a happy number.

1143053424 is a `hidden beast` number, since 1 + 14 + 305 + 342 + 4 = 666.

It is a super-2 number, since 2×11430534242 = 2613142260236247552, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2545552 + ... + 2546000.

It is an arithmetic number, because the mean of its divisors is an integer number (21092400).

Almost surely, 21143053424 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 1143053424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687392000).

1143053424 is an abundant number, since it is smaller than the sum of its proper divisors (2231730576).

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

1143053424 is a wasteful number, since it uses less digits than its factorization.

1143053424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1143053424 is about 33809.0731017578. The cubic root of 1143053424 is about 1045.5757681154.

Adding to 1143053424 its reverse (4243503411), we get a palindrome (5386556835).

The spelling of 1143053424 in words is "one billion, one hundred forty-three million, fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 83 108 142 144 166 213 216 249 284 332 426 432 449 498 568 639 664 747 852 898 996 1136 1278 1328 1347 1494 1704 1796 1917 1992 2241 2556 2694 2988 3408 3592 3834 3984 4041 4482 5112 5388 5893 5976 7184 7668 8082 8964 10224 10776 11786 11952 12123 15336 16164 17679 17928 21552 23572 24246 30672 31879 32328 35358 35856 37267 47144 48492 53037 63758 64656 70716 74534 94288 95637 96984 106074 111801 127516 141432 149068 159111 191274 193968 212148 223602 255032 282864 286911 298136 318222 335403 382548 424296 447204 510064 573822 596272 636444 670806 765096 848592 860733 894408 1006209 1147644 1272888 1341612 1530192 1721466 1788816 2012418 2295288 2545776 2645957 2683224 3442932 4024836 4590576 5291914 5366448 6885864 7937871 8049672 10583828 13771728 15875742 16099344 21167656 23813613 31751484 42335312 47627226 63502968 71440839 95254452 127005936 142881678 190508904 285763356 381017808 571526712 1143053424