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41313004344 = 2333533899277
BaseRepresentation
bin100110011110011100…
…100110101100111000
310221122011201001212000
4212132130212230320
51134102112114334
630551241021000
72661526512543
oct463634465470
9127564631760
1041313004344
11165801286a7
12800b784760
133b850c1701
141ddcb1585a
15111bde5299
hex99e726b38

41313004344 has 128 divisors (see below), whose sum is σ = 117236808000. Its totient is φ = 13474985472.

The previous prime is 41313004333. The next prime is 41313004351. The reversal of 41313004344 is 44340031314.

41313004344 is a `hidden beast` number, since 4 + 1 + 313 + 0 + 0 + 4 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 4448634 + ... + 4457910.

Almost surely, 241313004344 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 41313004344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58618404000).

41313004344 is an abundant number, since it is smaller than the sum of its proper divisors (75923803656).

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

41313004344 is a wasteful number, since it uses less digits than its factorization.

41313004344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9734 (or 9724 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 41313004344 its reverse (44340031314), we get a palindrome (85653035658).

The spelling of 41313004344 in words is "forty-one billion, three hundred thirteen million, four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 389 424 477 636 778 954 1167 1272 1431 1556 1908 2334 2862 3112 3501 3816 4668 5724 7002 9277 9336 10503 11448 14004 18554 20617 21006 27831 28008 37108 41234 42012 55662 61851 74216 82468 83493 84024 111324 123702 164936 166986 185553 222648 247404 250479 333972 371106 491681 494808 500958 556659 667944 742212 983362 1001916 1113318 1475043 1484424 1966724 2003832 2226636 2950086 3608753 3933448 4425129 4453272 5900172 7217506 8850258 10826259 11800344 13275387 14435012 17700516 21652518 26550774 28870024 32478777 35401032 43305036 53101548 64957554 86610072 97436331 106203096 129915108 191263909 194872662 259830216 382527818 389745324 573791727 765055636 779490648 1147583454 1530111272 1721375181 2295166908 3442750362 4590333816 5164125543 6885500724 10328251086 13771001448 20656502172 41313004344