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41105463234400 = 2552711096639337
BaseRepresentation
bin10010101100010100111001…
…00010001100111101100000
312101112122101102000211202001
421112022130202030331200
520341432442042000100
6223231331125533344
711441525461355245
oct1126123442147540
9171478342024661
1041105463234400
1112108802418a14
12473a620574254
1319c22c81830c6
14a2172d3895cc
154b43aa128d6a
hex25629c88cf60

41105463234400 has 144 divisors (see below), whose sum is σ = 102695686742880. Its totient is φ = 16061881651200.

The previous prime is 41105463234379. The next prime is 41105463234421. The reversal of 41105463234400 is 443236450114.

It is an interprime number because it is at equal distance from previous prime (41105463234379) and next prime (41105463234421).

It is a super-2 number, since 2×411054632344002 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41105463234400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2871532 + ... + 9510868.

It is an arithmetic number, because the mean of its divisors is an integer number (713164491270).

Almost surely, 241105463234400 is an apocalyptic number.

41105463234400 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 41105463234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51347843371440).

41105463234400 is an abundant number, since it is smaller than the sum of its proper divisors (61590223508480).

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

41105463234400 is a wasteful number, since it uses less digits than its factorization.

41105463234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6639537 (or 6639524 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 41105463234400 its reverse (443236450114), we get a palindrome (41548699684514).

The spelling of 41105463234400 in words is "forty-one trillion, one hundred five billion, four hundred sixty-three million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 109 142 160 200 218 284 355 400 436 545 568 710 800 872 1090 1136 1420 1744 1775 2180 2272 2725 2840 3488 3550 4360 5450 5680 7100 7739 8720 10900 11360 14200 15478 17440 21800 28400 30956 38695 43600 56800 61912 77390 87200 123824 154780 193475 247648 309560 386950 619120 773900 1238240 1547800 3095600 6191200 6639337 13278674 26557348 33196685 53114696 66393370 106229392 132786740 165983425 212458784 265573480 331966850 471392927 531146960 663933700 723687733 942785854 1062293920 1327867400 1447375466 1885571708 2356964635 2655734800 2894750932 3618438665 3771143416 4713929270 5311469600 5789501864 7236877330 7542286832 9427858540 11579003728 11784823175 14473754660 15084573664 18092193325 18855717080 23158007456 23569646350 28947509320 36184386650 37711434160 47139292700 51381829043 57895018640 72368773300 75422868320 94278585400 102763658086 115790037280 144737546600 188557170800 205527316172 256909145215 289475093200 377114341600 411054632344 513818290430 578950186400 822109264688 1027636580860 1284545726075 1644218529376 2055273161720 2569091452150 4110546323440 5138182904300 8221092646880 10276365808600 20552731617200 41105463234400