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41233414144 = 211134336017
BaseRepresentation
bin100110011001101100…
…111111100000000000
310221102121221110121211
4212121230333200000
51133421223223034
630535315055504
72656542144256
oct463154774000
9127377843554
1041233414144
111653a20737a
127ba8ba1594
133b71775a10
141dd23185d6
151114e22d64
hex999b3f800

41233414144 has 96 divisors (see below), whose sum is σ = 90856125360. Its totient is φ = 18587713536.

The previous prime is 41233414141. The next prime is 41233414181. The reversal of 41233414144 is 44141433214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41233414141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1126824 + ... + 1162840.

Almost surely, 241233414144 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 41233414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45428062680).

41233414144 is an abundant number, since it is smaller than the sum of its proper divisors (49622711216).

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

41233414144 is a wasteful number, since it uses less digits than its factorization.

41233414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36095 (or 36075 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

Adding to 41233414144 its reverse (44141433214), we get a palindrome (85374847358).

The spelling of 41233414144 in words is "forty-one billion, two hundred thirty-three million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 256 344 416 512 559 688 832 1024 1118 1376 1664 2048 2236 2752 3328 4472 5504 6656 8944 11008 13312 17888 22016 26624 35776 36017 44032 71552 72034 88064 143104 144068 286208 288136 468221 572416 576272 936442 1144832 1152544 1548731 1872884 2305088 3097462 3745768 4610176 6194924 7491536 9220352 12389848 14983072 18440704 20133503 24779696 29966144 36881408 40267006 49559392 59932288 73762816 80534012 99118784 119864576 161068024 198237568 239729152 322136048 396475136 479458304 644272096 792950272 958916608 1288544192 1585900544 2577088384 3171801088 5154176768 10308353536 20616707072 41233414144