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41143142144 = 281317898171
BaseRepresentation
bin100110010100010100…
…101000011100000000
310221012100002011201102
4212110110220130000
51133230121022034
630522332153532
72654364636506
oct462424503400
9127170064642
1041143142144
11164a325a715
127b829088a8
133b58b5a030
141dc433a676
15110c04097e
hex994528700

41143142144 has 144 divisors (see below), whose sum is σ = 94709230560. Its totient is φ = 17669160960.

The previous prime is 41143142119. The next prime is 41143142167. The reversal of 41143142144 is 44124134114.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5031179 + ... + 5039349.

It is an arithmetic number, because the mean of its divisors is an integer number (657702990).

Almost surely, 241143142144 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 41143142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47354615280).

41143142144 is an abundant number, since it is smaller than the sum of its proper divisors (53566088416).

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

41143142144 is a wasteful number, since it uses less digits than its factorization.

41143142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8306 (or 8292 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

Adding to 41143142144 its reverse (44124134114), we get a palindrome (85267276258).

It can be divided in two parts, 4114 and 3142144, that multiplied together give a square (12926780416 = 1136962).

The spelling of 41143142144 in words is "forty-one billion, one hundred forty-three million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 89 104 128 136 178 208 221 256 272 356 416 442 544 712 832 884 1088 1157 1424 1513 1664 1768 2176 2314 2848 3026 3328 3536 4352 4628 5696 6052 7072 8171 9256 11392 12104 14144 16342 18512 19669 22784 24208 28288 32684 37024 39338 48416 56576 65368 74048 78676 96832 106223 130736 138907 148096 157352 193664 212446 261472 277814 296192 314704 387328 424892 522944 555628 629408 727219 849784 1045888 1111256 1258816 1454438 1699568 1805791 2091776 2222512 2517632 2908876 3399136 3611582 4445024 5035264 5817752 6798272 7223164 8890048 9453847 11635504 12362723 13596544 14446328 17780096 18907694 23271008 24725446 27193088 28892656 35560192 37815388 46542016 49450892 57785312 75630776 93084032 98901784 115570624 151261552 160715399 186168064 197803568 231141248 302523104 321430798 395607136 462282496 605046208 642861596 791214272 1210092416 1285723192 1582428544 2420184832 2571446384 3164857088 5142892768 10285785536 20571571072 41143142144