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41124000120 = 2335748957143
BaseRepresentation
bin100110010011001011…
…100111000101111000
310221011000001122210120
4212103023213011320
51133210221000440
630520410013240
72654043143040
oct462313470570
9127130048716
1041124000120
1116493475a65
127b78417220
133b54bb72a8
141dc1996720
15110a50ddd0
hex9932e7178

41124000120 has 64 divisors (see below), whose sum is σ = 140996574720. Its totient is φ = 9399771264.

The previous prime is 41124000107. The next prime is 41124000139. The reversal of 41124000120 is 2100042114.

41124000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41124000120.

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, 24477732 + ... + 24479411.

It is an arithmetic number, because the mean of its divisors is an integer number (2203071480).

Almost surely, 241124000120 is an apocalyptic number.

41124000120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41124000120 is an abundant number, since it is smaller than the sum of its proper divisors (99872574600).

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

41124000120 is a wasteful number, since it uses less digits than its factorization.

41124000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48957164 (or 48957160 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 41124000120 its reverse (2100042114), we get a palindrome (43224042234).

The spelling of 41124000120 in words is "forty-one billion, one hundred twenty-four million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 48957143 97914286 146871429 195828572 244785715 293742858 342700001 391657144 489571430 587485716 685400002 734357145 979142860 1028100003 1174971432 1370800004 1468714290 1713500005 1958285720 2056200006 2741600008 2937428580 3427000010 4112400012 5140500015 5874857160 6854000020 8224800024 10281000030 13708000040 20562000060 41124000120