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41552120205240 = 2335834199956801
BaseRepresentation
bin10010111001010100110110…
…10111010100111110111000
312110010100021200220220110220
421130222123113110332320
520421242220233031430
6224212440330540040
711516020163104311
oct1134523327247670
9173110250826426
1041552120205240
111227017865a047
1247b10b4b97620
131a2546aa945a8
14a391c1ca1608
154c0cecb65110
hex25ca9b5d4fb8

41552120205240 has 128 divisors (see below), whose sum is σ = 126459350841600. Its totient is φ = 10920936857600.

The previous prime is 41552120205179. The next prime is 41552120205251. The reversal of 41552120205240 is 4250202125514.

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, 805161 + ... + 9151640.

It is an arithmetic number, because the mean of its divisors is an integer number (987963678450).

Almost surely, 241552120205240 is an apocalyptic number.

41552120205240 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 41552120205240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63229675420800).

41552120205240 is an abundant number, since it is smaller than the sum of its proper divisors (84907230636360).

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

41552120205240 is a wasteful number, since it uses less digits than its factorization.

41552120205240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9957317 (or 9957313 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The spelling of 41552120205240 in words is "forty-one trillion, five hundred fifty-two billion, one hundred twenty million, two hundred five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 419 498 664 830 838 996 1245 1257 1660 1676 1992 2095 2490 2514 3320 3352 4190 4980 5028 6285 8380 9960 10056 12570 16760 25140 34777 50280 69554 104331 139108 173885 208662 278216 347770 417324 521655 695540 834648 1043310 1391080 2086620 4173240 9956801 19913602 29870403 39827204 49784005 59740806 79654408 99568010 119481612 149352015 199136020 238963224 298704030 398272040 597408060 826414483 1194816120 1652828966 2479243449 3305657932 4132072415 4171899619 4958486898 6611315864 8264144830 8343799238 9916973796 12396217245 12515698857 16528289660 16687598476 19833947592 20859498095 24792434490 25031397714 33056579320 33375196952 41718996190 49584868980 50062795428 62578494285 83437992380 99169737960 100125590856 125156988570 166875984760 250313977140 346267668377 500627954280 692535336754 1038803005131 1385070673508 1731338341885 2077606010262 2770141347016 3462676683770 4155212020524 5194015025655 6925353367540 8310424041048 10388030051310 13850706735080 20776060102620 41552120205240