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1143031344 = 2437131511733
BaseRepresentation
bin100010000100001…
…0100011000110000
32221122211000020020
41010020110120300
54320104000334
6305231043440
740216414620
oct10410243060
92848730206
101143031344
11537236404
1227a970580
13152a69210
14abb40880
156a535e49
hex44214630

1143031344 has 160 divisors (see below), whose sum is σ = 3660432384. Its totient is φ = 299289600.

The previous prime is 1143031321. The next prime is 1143031387. The reversal of 1143031344 is 4431303411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658702 + ... + 660434.

Almost surely, 21143031344 is an apocalyptic number.

1143031344 is a gapful number since it is divisible by the number (14) 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 1143031344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830216192).

1143031344 is an abundant number, since it is smaller than the sum of its proper divisors (2517401040).

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

1143031344 is a wasteful number, since it uses less digits than its factorization.

1143031344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1909 counting only the distinct ones).

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

The square root of 1143031344 is about 33808.7465606165. The cubic root of 1143031344 is about 1045.5690357204.

Adding to 1143031344 its reverse (4431303411), we get a palindrome (5574334755).

The spelling of 1143031344 in words is "one billion, one hundred forty-three million, thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 151 156 168 182 208 273 302 312 336 364 453 546 604 624 728 906 1057 1092 1208 1456 1733 1812 1963 2114 2184 2416 3171 3466 3624 3926 4228 4368 5199 5889 6342 6932 7248 7852 8456 10398 11778 12131 12684 13741 13864 15704 16912 20796 22529 23556 24262 25368 27482 27728 31408 36393 41223 41592 45058 47112 48524 50736 54964 67587 72786 82446 83184 90116 94224 97048 109928 135174 145572 157703 164892 180232 194096 219856 261683 270348 291144 315406 329784 360464 473109 523366 540696 582288 630812 659568 785049 946218 1046732 1081392 1261624 1570098 1831781 1892436 2093464 2523248 3140196 3401879 3663562 3784872 4186928 5495343 6280392 6803758 7327124 7569744 10205637 10990686 12560784 13607516 14654248 20411274 21981372 23813153 27215032 29308496 40822548 43962744 47626306 54430064 71439459 81645096 87925488 95252612 142878918 163290192 190505224 285757836 381010448 571515672 1143031344