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1143124992 = 21032711747
BaseRepresentation
bin100010000100010…
…1011010000000000
32221122222202200200
41010020223100000
54320114444432
6305233045200
740220254632
oct10410532000
92848882620
101143124992
1153729a7a9
1227a9b6800
13152a9ca29
14abb66a52
156a553a7c
hex4422b400

1143124992 has 132 divisors (see below), whose sum is σ = 3349154016. Its totient is φ = 375459840.

The previous prime is 1143124903. The next prime is 1143125017. The reversal of 1143124992 is 2994213411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 653463 + ... + 655209.

Almost surely, 21143124992 is an apocalyptic number.

1143124992 is a gapful number since it is divisible by the number (12) 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 1143124992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674577008).

1143124992 is an abundant number, since it is smaller than the sum of its proper divisors (2206029024).

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

1143124992 is a wasteful number, since it uses less digits than its factorization.

1143124992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1823 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 1143124992 is about 33810.1314993006. The cubic root of 1143124992 is about 1045.5975892608.

The spelling of 1143124992 in words is "one billion, one hundred forty-three million, one hundred twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 256 284 288 384 426 512 568 576 639 768 852 1024 1136 1152 1278 1536 1704 1747 2272 2304 2556 3072 3408 3494 4544 4608 5112 5241 6816 6988 9088 9216 10224 10482 13632 13976 15723 18176 20448 20964 27264 27952 31446 36352 40896 41928 54528 55904 62892 72704 81792 83856 109056 111808 124037 125784 163584 167712 218112 223616 248074 251568 327168 335424 372111 447232 496148 503136 654336 670848 744222 894464 992296 1006272 1116333 1341696 1488444 1788928 1984592 2012544 2232666 2683392 2976888 3969184 4025088 4465332 5366784 5953776 7938368 8050176 8930664 11907552 15876736 16100352 17861328 23815104 31753472 35722656 47630208 63506944 71445312 95260416 127013888 142890624 190520832 285781248 381041664 571562496 1143124992