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41361012 = 223271143347
BaseRepresentation
bin1001110111000…
…1111001110100
32212211100122100
42131301321310
541042023022
64034302100
71011364020
oct235617164
985740570
1041361012
1121390160
1211a27930
138752194
1456c9380
1539701ac
hex2771e74

41361012 has 144 divisors (see below), whose sum is σ = 133765632. Its totient is φ = 10463040.

The previous prime is 41361011. The next prime is 41361029. The reversal of 41361012 is 21016314.

It is a happy number.

41361012 is a `hidden beast` number, since 41 + 3 + 610 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41361011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119023 + ... + 119369.

It is an arithmetic number, because the mean of its divisors is an integer number (928928).

Almost surely, 241361012 is an apocalyptic number.

41361012 is a gapful number since it is divisible by the number (42) 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 41361012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66882816).

41361012 is an abundant number, since it is smaller than the sum of its proper divisors (92404620).

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

41361012 is a wasteful number, since it uses less digits than its factorization.

41361012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 41361012 is about 6431.2527551015. The cubic root of 41361012 is about 345.8308393814.

Adding to 41361012 its reverse (21016314), we get a palindrome (62377326).

It can be divided in two parts, 413 and 61012, that added together give a triangular number (61425 = T350).

The spelling of 41361012 in words is "forty-one million, three hundred sixty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 43 44 63 66 77 84 86 99 126 129 132 154 172 198 231 252 258 301 308 347 387 396 462 473 516 602 693 694 774 903 924 946 1041 1204 1386 1388 1419 1548 1806 1892 2082 2429 2709 2772 2838 3123 3311 3612 3817 4164 4257 4858 5418 5676 6246 6622 7287 7634 8514 9716 9933 10836 11451 12492 13244 14574 14921 15268 17028 19866 21861 22902 26719 29148 29799 29842 34353 39732 43722 44763 45804 53438 59598 59684 68706 80157 87444 89526 104447 106876 119196 134289 137412 160314 164131 179052 208894 240471 268578 313341 320628 328262 417788 480942 492393 537156 626682 656524 940023 961884 984786 1148917 1253364 1477179 1880046 1969572 2297834 2954358 3446751 3760092 4595668 5908716 6893502 10340253 13787004 20680506 41361012