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41639850240 = 283528338317
BaseRepresentation
bin100110110001111011…
…011011000100000000
310222110221201120010120
4212301323123010000
51140234300201430
631043514300240
73002605613202
oct466173330400
9128427646116
1041639850240
111672867887a
1280a1127680
133c07a2b951
1420302b6772
15113a958610
hex9b1edb100

41639850240 has 144 divisors (see below), whose sum is σ = 133460674368. Its totient is φ = 11064434688.

The previous prime is 41639850221. The next prime is 41639850257. The reversal of 41639850240 is 4205893614.

It is a junction number, because it is equal to n+sod(n) for n = 41639850192 and 41639850201.

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, 1067562 + ... + 1105878.

Almost surely, 241639850240 is an apocalyptic number.

41639850240 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 41639850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66730337184).

41639850240 is an abundant number, since it is smaller than the sum of its proper divisors (91820824128).

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

41639850240 is a wasteful number, since it uses less digits than its factorization.

41639850240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38624 (or 38610 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 41639850240 in words is "forty-one billion, six hundred thirty-nine million, eight hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 283 320 384 480 566 640 768 849 960 1132 1280 1415 1698 1920 2264 2830 3396 3840 4245 4528 5660 6792 8490 9056 11320 13584 16980 18112 22640 27168 33960 36224 38317 45280 54336 67920 72448 76634 90560 108672 114951 135840 153268 181120 191585 217344 229902 271680 306536 362240 383170 459804 543360 574755 613072 766340 919608 1086720 1149510 1226144 1532680 1839216 2299020 2452288 3065360 3678432 4598040 4904576 6130720 7356864 9196080 9809152 10843711 12261440 14713728 18392160 21687422 24522880 29427456 32531133 36784320 43374844 49045760 54218555 65062266 73568640 86749688 108437110 130124532 147137280 162655665 173499376 216874220 260249064 325311330 346998752 433748440 520498128 650622660 693997504 867496880 1040996256 1301245320 1387995008 1734993760 2081992512 2602490640 2775990016 3469987520 4163985024 5204981280 6939975040 8327970048 10409962560 13879950080 20819925120 41639850240