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124134220040 = 235372932977
BaseRepresentation
bin111001110011011111…
…0011110000100001000
3102212102010102202020012
41303212332132010020
54013211330020130
6133005415051052
711653106314025
oct1634676360410
9385363382205
10124134220040
11487105928a6
1220084370a88
13b92387130c
14601843854c
153367dde995
hex1ce6f9e108

124134220040 has 96 divisors (see below), whose sum is σ = 288127660680. Its totient is φ = 48097529856.

The previous prime is 124134220037. The next prime is 124134220081. The reversal of 124134220040 is 40022431421.

It can be written as a sum of positive squares in 12 ways, for example, as 118943593924 + 5190626116 = 344882^2 + 72046^2 .

It is a junction number, because it is equal to n+sod(n) for n = 124134219988 and 124134220015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127056032 + ... + 127057008.

Almost surely, 2124134220040 is an apocalyptic number.

124134220040 is a gapful number since it is divisible by the number (10) 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 124134220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144063830340).

124134220040 is an abundant number, since it is smaller than the sum of its proper divisors (163993440640).

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

124134220040 is an equidigital number, since it uses as much as digits as its factorization.

124134220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 124134220040 its reverse (40022431421), we get a palindrome (164156651461).

The spelling of 124134220040 in words is "one hundred twenty-four billion, one hundred thirty-four million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 293 296 370 586 740 977 1172 1465 1480 1954 2344 2930 3908 4885 5860 7816 9770 10841 11720 19540 21682 36149 39080 43364 54205 72298 85849 86728 108410 144596 171698 180745 216820 286261 289192 343396 361490 429245 433640 572522 686792 722980 858490 1145044 1431305 1445960 1716980 2290088 2862610 3176413 3433960 5725220 6352826 10591657 11450440 12705652 15882065 21183314 25411304 31764130 42366628 52958285 63528260 83874473 84733256 105916570 127056520 167748946 211833140 335497892 419372365 423666280 670995784 838744730 1677489460 3103355501 3354978920 6206711002 12413422004 15516777505 24826844008 31033555010 62067110020 124134220040