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45033200440 = 2356783443457
BaseRepresentation
bin101001111100001100…
…000001101100111000
311022020102220121111121
4221330030001230320
51214211444403230
632404333435024
73152651613364
oct517414015470
9138212817447
1045033200440
111810a082028
12888963ba74
134328a66a87
142272c322a4
1512887ea77a
hexa7c301b38

45033200440 has 128 divisors (see below), whose sum is σ = 104539196160. Its totient is φ = 17452790784.

The previous prime is 45033200393. The next prime is 45033200479. The reversal of 45033200440 is 4400233054.

It is a congruent number.

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, 98540692 + ... + 98541148.

It is an arithmetic number, because the mean of its divisors is an integer number (816712470).

Almost surely, 245033200440 is an apocalyptic number.

45033200440 is a gapful number since it is divisible by the number (40) 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 45033200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52269598080).

45033200440 is an abundant number, since it is smaller than the sum of its proper divisors (59505995720).

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

45033200440 is a wasteful number, since it uses less digits than its factorization.

45033200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 45033200440 its reverse (4400233054), we get a palindrome (49433433494).

The spelling of 45033200440 in words is "forty-five billion, thirty-three million, two hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 83 134 166 268 332 335 415 443 457 536 664 670 830 886 914 1340 1660 1772 1828 2215 2285 2680 3320 3544 3656 4430 4570 5561 8860 9140 11122 17720 18280 22244 27805 29681 30619 36769 37931 44488 55610 59362 61238 73538 75862 111220 118724 122476 147076 148405 151724 153095 183845 189655 202451 222440 237448 244952 294152 296810 303448 306190 367690 379310 404902 593620 612380 735380 758620 809804 1012255 1187240 1224760 1470760 1517240 1619608 2024510 2463523 2541377 4049020 4927046 5082754 8098040 9854092 10165508 12317615 12706885 13564217 16803433 19708184 20331016 24635230 25413770 27128434 33606866 49270460 50827540 54256868 67213732 67821085 84017165 98540920 101655080 108513736 134427464 135642170 168034330 271284340 336068660 542568680 672137320 1125830011 2251660022 4503320044 5629150055 9006640088 11258300110 22516600220 45033200440