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124434125240 = 23531101998479
BaseRepresentation
bin111001111100011011…
…0100001000110111000
3102220012000202111211012
41303320312201012320
54014320114001430
6133055251053052
711663410420145
oct1637066410670
9386160674735
10124434125240
1148854902037
12201488a1188
13b970a37c09
1460461c53cc
1533843d0695
hex1cf8da11b8

124434125240 has 64 divisors (see below), whose sum is σ = 289294848000. Its totient is φ = 48120289920.

The previous prime is 124434125219. The next prime is 124434125261. The reversal of 124434125240 is 42521434421.

124434125240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (124434125219) and next prime (124434125261).

It is a junction number, because it is equal to n+sod(n) for n = 124434125197 and 124434125206.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1214321 + ... + 1312799.

It is an arithmetic number, because the mean of its divisors is an integer number (4520232000).

Almost surely, 2124434125240 is an apocalyptic number.

124434125240 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 124434125240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144647424000).

124434125240 is an abundant number, since it is smaller than the sum of its proper divisors (164860722760).

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

124434125240 is a wasteful number, since it uses less digits than its factorization.

124434125240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99540 (or 99536 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 124434125240 its reverse (42521434421), we get a palindrome (166955559661).

The spelling of 124434125240 in words is "one hundred twenty-four billion, four hundred thirty-four million, one hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1019 1240 2038 4076 5095 8152 10190 20380 31589 40760 63178 98479 126356 157945 196958 252712 315890 393916 492395 631780 787832 984790 1263560 1969580 3052849 3939160 6105698 12211396 15264245 24422792 30528490 61056980 100350101 122113960 200700202 401400404 501750505 802800808 1003501010 2007002020 3110853131 4014004040 6221706262 12443412524 15554265655 24886825048 31108531310 62217062620 124434125240