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41113730304 = 28337183777
BaseRepresentation
bin100110010010100100…
…011011110100000000
310221010021201220021000
4212102210123310000
51133200103332204
630515401532000
72653556640633
oct462244336400
9127107656230
1041113730304
11164886a1109
127b74aa4000
133b52a2c98a
141dc0481c1a
151109681039
hex99291bd00

41113730304 has 144 divisors (see below), whose sum is σ = 123294407040. Its totient is φ = 13511393280.

The previous prime is 41113730299. The next prime is 41113730321. The reversal of 41113730304 is 40303731114.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448864 + ... + 532640.

It is an arithmetic number, because the mean of its divisors is an integer number (856211160).

Almost surely, 241113730304 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 41113730304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61647203520).

41113730304 is an abundant number, since it is smaller than the sum of its proper divisors (82180676736).

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

41113730304 is an equidigital number, since it uses as much as digits as its factorization.

41113730304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83873 (or 83853 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 41113730304 in words is "forty-one billion, one hundred thirteen million, seven hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 128 142 144 192 213 216 256 284 288 384 426 432 568 576 639 768 852 864 1136 1152 1278 1704 1728 1917 2272 2304 2556 3408 3456 3834 4544 5112 6816 6912 7668 9088 10224 13632 15336 18176 20448 27264 30672 40896 54528 61344 81792 83777 122688 163584 167554 245376 251331 335108 490752 502662 670216 753993 1005324 1340432 1507986 2010648 2261979 2680864 3015972 4021296 4523958 5361728 5948167 6031944 8042592 9047916 10723456 11896334 12063888 16085184 17844501 18095832 21446912 23792668 24127776 32170368 35689002 36191664 47585336 48255552 53533503 64340736 71378004 72383328 95170672 96511104 107067006 142756008 144766656 160600509 190341344 193022208 214134012 285512016 289533312 321201018 380682688 428268024 571024032 579066624 642402036 761365376 856536048 1142048064 1284804072 1522730752 1713072096 2284096128 2569608144 3426144192 4568192256 5139216288 6852288384 10278432576 13704576768 20556865152 41113730304