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4124450120 = 235719974021
BaseRepresentation
bin1111010111010110…
…0001110101001000
3101122102212202220212
43311311201311020
531421324400440
61521133140252
7204131150630
oct36565416510
911572782825
104124450120
11182716546a
1297132a688
1350964603b
142b1aab6c0
15192159465
hexf5d61d48

4124450120 has 64 divisors (see below), whose sum is σ = 10659168000. Its totient is φ = 1406972160.

The previous prime is 4124450081. The next prime is 4124450129. The reversal of 4124450120 is 210544214.

It is a super-2 number, since 2×41244501202 = 34022177584736028800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4124450129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18710 + ... + 92730.

It is an arithmetic number, because the mean of its divisors is an integer number (166549500).

Almost surely, 24124450120 is an apocalyptic number.

4124450120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329584000).

4124450120 is an abundant number, since it is smaller than the sum of its proper divisors (6534717880).

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

4124450120 is a wasteful number, since it uses less digits than its factorization.

4124450120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74238 (or 74234 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 4124450120 is about 64221.8819406594. The cubic root of 4124450120 is about 1603.6958988421.

Adding to 4124450120 its reverse (210544214), we get a palindrome (4334994334).

The spelling of 4124450120 in words is "four billion, one hundred twenty-four million, four hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 199 280 398 796 995 1393 1592 1990 2786 3980 5572 6965 7960 11144 13930 27860 55720 74021 148042 296084 370105 518147 592168 740210 1036294 1480420 2072588 2590735 2960840 4145176 5181470 10362940 14730179 20725880 29460358 58920716 73650895 103111253 117841432 147301790 206222506 294603580 412445012 515556265 589207160 824890024 1031112530 2062225060 4124450120