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41002413131344 = 2472473533152251
BaseRepresentation
bin10010101001010100111100…
…10001010000011001010000
312101011210101200002012200111
421110222132101100121100
520333240420230200334
6223112125404331104
711431220010060100
oct1124523621203120
9171153350065614
1041002413131344
1112079031311295
124722661243a94
1319b5684798b72
14a1a7551dd200
154b1878250064
hex254a9e450650

41002413131344 has 120 divisors (see below), whose sum is σ = 94645937593728. Its totient is φ = 17149853952000.

The previous prime is 41002413131341. The next prime is 41002413131347. The reversal of 41002413131344 is 44313131420014.

It is an interprime number because it is at equal distance from previous prime (41002413131341) and next prime (41002413131347).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41002413131341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11431219 + ... + 14583469.

Almost surely, 241002413131344 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 41002413131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47322968796864).

41002413131344 is an abundant number, since it is smaller than the sum of its proper divisors (53643524462384).

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

41002413131344 is a wasteful number, since it uses less digits than its factorization.

41002413131344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152673 (or 3152660 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 41002413131344 its reverse (44313131420014), we get a palindrome (85315544551358).

The spelling of 41002413131344 in words is "forty-one trillion, two billion, four hundred thirteen million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 47 49 56 94 98 112 188 196 329 353 376 392 658 706 752 784 1316 1412 2303 2471 2632 2824 4606 4942 5264 5648 9212 9884 16591 17297 18424 19768 33182 34594 36848 39536 66364 69188 116137 132728 138376 232274 265456 276752 464548 812959 929096 1625918 1858192 3152251 3251836 6304502 6503672 12609004 13007344 22065757 25218008 44131514 50436016 88263028 148155797 154460299 176526056 296311594 308920598 353052112 592623188 617841196 1037090579 1112744603 1185246376 1235682392 2074181158 2225489206 2370492752 2471364784 4148362316 4450978412 7259634053 7789212221 8296724632 8901956824 14519268106 15578424442 16593449264 17803913648 29038536212 31156848884 52298996341 54524485547 58077072424 62313697768 104597992682 109048971094 116154144848 124627395536 209195985364 218097942188 366092974387 418391970728 436195884376 732185948774 836783941456 872391768752 1464371897548 2562650820709 2928743795096 5125301641418 5857487590192 10250603282836 20501206565672 41002413131344