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124120441040 = 24512101128213
BaseRepresentation
bin111001110011000100…
…1111010000011010000
3102212101011111200222212
41303212021322003100
54013144313103130
6133004203451252
711652551225021
oct1634611720320
9385334450885
10124120441040
11487038314a2
122007b826b28
13b920a5866b
14601668cc48
153366abbe95
hex1ce627a0d0

124120441040 has 40 divisors (see below), whose sum is σ = 288606124008. Its totient is φ = 49643686400.

The previous prime is 124120441037. The next prime is 124120441063. The reversal of 124120441040 is 40144021421.

It can be written as a sum of positive squares in 4 ways, for example, as 96392862784 + 27727578256 = 310472^2 + 166516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 124120440997 and 124120441015.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 903974 + ... + 1032186.

Almost surely, 2124120441040 is an apocalyptic number.

124120441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124120441040 is an abundant number, since it is smaller than the sum of its proper divisors (164485682968).

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

124120441040 is a wasteful number, since it uses less digits than its factorization.

124120441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140327 (or 140321 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 124120441040 its reverse (40144021421), we get a palindrome (164264462461).

The spelling of 124120441040 in words is "one hundred twenty-four billion, one hundred twenty million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12101 24202 48404 60505 96808 121010 128213 193616 242020 256426 484040 512852 641065 968080 1025704 1282130 2051408 2564260 5128520 10257040 1551505513 3103011026 6206022052 7757527565 12412044104 15515055130 24824088208 31030110260 62060220520 124120441040