Search a number
-
+
124334311040 = 2751031188431
BaseRepresentation
bin111001111001011100…
…1110000011010000000
3102212221001221102110222
41303302321300122000
54014114040423130
6133041323442212
711661056130512
oct1636271603200
9385831842428
10124334311040
1148803528165
122011b386368
13b95615ab64
146036c41bb2
15337a765ce5
hex1cf2e70680

124334311040 has 64 divisors (see below), whose sum is σ = 297526590720. Its totient is φ = 49685222400.

The previous prime is 124334311039. The next prime is 124334311043. The reversal of 124334311040 is 40113433421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (124334311043) 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 7 ways as a sum of consecutive naturals, for example, 565625 + ... + 754055.

It is an arithmetic number, because the mean of its divisors is an integer number (4648852980).

Almost surely, 2124334311040 is an apocalyptic number.

124334311040 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 124334311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148763295360).

124334311040 is an abundant number, since it is smaller than the sum of its proper divisors (173192279680).

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

124334311040 is a wasteful number, since it uses less digits than its factorization.

124334311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189481 (or 189469 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 124334311040 its reverse (40113433421), we get a palindrome (164447744461).

The spelling of 124334311040 in words is "one hundred twenty-four billion, three hundred thirty-four million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1031 2062 4124 5155 8248 10310 16496 20620 32992 41240 65984 82480 131968 164960 188431 329920 376862 659840 753724 942155 1507448 1884310 3014896 3768620 6029792 7537240 12059584 15074480 24119168 30148960 60297920 120595840 194272361 388544722 777089444 971361805 1554178888 1942723610 3108357776 3885447220 6216715552 7770894440 12433431104 15541788880 24866862208 31083577760 62167155520 124334311040