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1143344020 = 225713643977
BaseRepresentation
bin100010000100110…
…0000101110010100
32221200101220010211
41010021200232110
54320144002040
6305241455204
740222156330
oct10411405624
92850356124
101143344020
1153742a315
1227aaa1504
13152b48630
14abbc27c0
156a5988ea
hex44260b94

1143344020 has 96 divisors (see below), whose sum is σ = 2962729728. Its totient is φ = 360916992.

The previous prime is 1143343997. The next prime is 1143344021. The reversal of 1143344020 is 204433411.

It is a junction number, because it is equal to n+sod(n) for n = 1143343982 and 1143344000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143344021) 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 31 ways as a sum of consecutive naturals, for example, 1169772 + ... + 1170748.

It is an arithmetic number, because the mean of its divisors is an integer number (30861768).

Almost surely, 21143344020 is an apocalyptic number.

1143344020 is a gapful number since it is divisible by the number (10) 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 1143344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481364864).

1143344020 is an abundant number, since it is smaller than the sum of its proper divisors (1819385708).

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

1143344020 is a wasteful number, since it uses less digits than its factorization.

1143344020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1143344020 is about 33813.3704324192. The cubic root of 1143344020 is about 1045.6643654300.

Adding to 1143344020 its reverse (204433411), we get a palindrome (1347777431).

The spelling of 1143344020 in words is "one billion, one hundred forty-three million, three hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 643 910 977 1286 1820 1954 2572 3215 3908 4501 4885 6430 6839 8359 9002 9770 12701 12860 13678 16718 18004 19540 22505 25402 27356 33436 34195 41795 45010 50804 58513 63505 68390 83590 88907 90020 117026 127010 136780 167180 177814 234052 254020 292565 355628 444535 585130 628211 889070 1170260 1256422 1778140 2512844 3141055 4397477 6282110 8166743 8794954 12564220 16333486 17589908 21987385 32666972 40833715 43974770 57167201 81667430 87949540 114334402 163334860 228668804 285836005 571672010 1143344020