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41234314211420 = 225111277272030009
BaseRepresentation
bin10010110000000100111001…
…01001101011000001011100
312101222221222020212200011012
421120002130221223001130
520401040333414231140
6223410441001314352
711454036513531341
oct1130023451530134
9171887866780135
1041234314211420
111215841343a080
12475b5a04959b8
131a014c0ca1485
14a27a73dd47c8
154b78ec171265
hex25809ca6b05c

41234314211420 has 96 divisors (see below), whose sum is σ = 95338883727360. Its totient is φ = 14855760944640.

The previous prime is 41234314211399. The next prime is 41234314211429. The reversal of 41234314211420 is 2411241343214.

It is a super-2 number, since 2×412343142114202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41234314211429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19297376 + ... + 21327384.

It is an arithmetic number, because the mean of its divisors is an integer number (993113372160).

Almost surely, 241234314211420 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 41234314211420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47669441863680).

41234314211420 is an abundant number, since it is smaller than the sum of its proper divisors (54104569515940).

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

41234314211420 is a wasteful number, since it uses less digits than its factorization.

41234314211420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030883 (or 2030881 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 41234314211420 its reverse (2411241343214), we get a palindrome (43645555554634).

The spelling of 41234314211420 in words is "forty-one trillion, two hundred thirty-four billion, three hundred fourteen million, two hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 635 727 1270 1397 1454 2540 2794 2908 3635 5588 6985 7270 7997 13970 14540 15994 27940 31988 39985 79970 92329 159940 184658 369316 461645 923290 1015619 1846580 2030009 2031238 4060018 4062476 5078095 8120036 10150045 10156190 20300090 20312380 22330099 40600180 44660198 89320396 111650495 223300990 257811143 446601980 515622286 1031244572 1289055715 1475816543 2578111430 2835922573 2951633086 5156222860 5671845146 5903266172 7379082715 11343690292 14179612865 14758165430 16233981973 28359225730 29516330860 32467963946 56718451460 64935927892 81169909865 162339819730 187428700961 324679639460 374857401922 749714803844 937143504805 1874287009610 2061715710571 3748574019220 4123431421142 8246862842284 10308578552855 20617157105710 41234314211420