Search a number
-
+
124114133412 = 2234383068313
BaseRepresentation
bin111001110010111000…
…1110110000110100100
3102212100201122020120000
41303211301312012210
54013141204232122
6133003420341300
711652443504313
oct1634561660644
9385321566500
10124114133412
1148700213485
12200796a4830
13b91c65a639
1460158ca27a
1533662730ac
hex1ce5c761a4

124114133412 has 30 divisors (see below), whose sum is σ = 324458861958. Its totient is φ = 41371377696.

The previous prime is 124114133411. The next prime is 124114133431. The reversal of 124114133412 is 214331411421.

It is a happy number.

124114133412 is a `hidden beast` number, since 1 + 2 + 4 + 114 + 133 + 412 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123415905636 + 698227776 = 351306^2 + 26424^2 .

It is a super-2 number, since 2×1241141334122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (124114133411) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 191533833 + ... + 191534480.

Almost surely, 2124114133412 is an apocalyptic number.

124114133412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

124114133412 is an abundant number, since it is smaller than the sum of its proper divisors (200344728546).

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

124114133412 is a wasteful number, since it uses less digits than its factorization.

124114133412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383068329 (or 383068318 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 124114133412 its reverse (214331411421), we get a palindrome (338445544833).

The spelling of 124114133412 in words is "one hundred twenty-four billion, one hundred fourteen million, one hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 383068313 766136626 1149204939 1532273252 2298409878 3447614817 4596819756 6895229634 10342844451 13790459268 20685688902 31028533353 41371377804 62057066706 124114133412