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41242404224020 = 225235031663107183
BaseRepresentation
bin10010110000010011111101…
…10110100111110000010100
312102000201212001122220010111
421120021332312213300110
520401203420440132040
6223414255434332404
711454444136516036
oct1130117666476024
9172021761586114
1041242404224020
1112160894aa72aa
12476107988a104
131a021b006c18c
14a2820060dc56
154b7c224ebdea
hex25827eda7c14

41242404224020 has 96 divisors (see below), whose sum is σ = 90609628741632. Its totient is φ = 15738714634368.

The previous prime is 41242404223991. The next prime is 41242404224023. The reversal of 41242404224020 is 2042240424214.

41242404224020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41242404224023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384731349 + ... + 384838531.

It is an arithmetic number, because the mean of its divisors is an integer number (943850299392).

Almost surely, 241242404224020 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 41242404224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45304814370816).

41242404224020 is an abundant number, since it is smaller than the sum of its proper divisors (49367224517612).

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

41242404224020 is a wasteful number, since it uses less digits than its factorization.

41242404224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109381 (or 109379 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 31.

Adding to 41242404224020 its reverse (2042240424214), we get a palindrome (43284644648234).

The spelling of 41242404224020 in words is "forty-one trillion, two hundred forty-two billion, four hundred four million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 503 1006 1663 2012 2515 3326 5030 6652 8315 10060 11569 16630 23138 33260 38249 46276 57845 76498 107183 115690 152996 191245 214366 231380 382490 428732 535915 764980 836489 1071830 1672978 2143660 2465209 3345956 4182445 4930418 8364890 9860836 12326045 16729780 19239247 24652090 38478494 49304180 53913049 76956988 96196235 107826098 178245329 192392470 215652196 269565245 356490658 384784940 539130490 712981316 891226645 1078260980 1240000127 1782453290 2480000254 3564906580 4099642567 4960000508 6200000635 8199285134 12400001270 16398570268 20498212835 24800002540 40996425670 81992851340 89657400487 179314800974 358629601948 448287002435 896574004870 1793148009740 2062120211201 4124240422402 8248480844804 10310601056005 20621202112010 41242404224020