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124114011152 = 2429733364921
BaseRepresentation
bin111001110010111000…
…1011000010000010000
3102212100201102000211212
41303211301120100100
54013141141324102
6133003413555252
711652442455005
oct1634561302020
9385321360755
10124114011152
114870013a63a
1220079645b28
13b91c616ab1
1460158978ac
15336624bc52
hex1ce5c58410

124114011152 has 40 divisors (see below), whose sum is σ = 249103055640. Its totient is φ = 59835202560.

The previous prime is 124114011143. The next prime is 124114011157. The reversal of 124114011152 is 251110411421.

124114011152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 30700646656 + 93413364496 = 175216^2 + 305636^2 .

It is not an unprimeable number, because it can be changed into a prime (124114011157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157652 + ... + 522572.

It is an arithmetic number, because the mean of its divisors is an integer number (6227576391).

Almost surely, 2124114011152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124114011152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124551527820).

124114011152 is an abundant number, since it is smaller than the sum of its proper divisors (124989044488).

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

124114011152 is a wasteful number, since it uses less digits than its factorization.

124114011152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365691 (or 365685 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

Adding to 124114011152 its reverse (251110411421), we get a palindrome (375224422573).

The spelling of 124114011152 in words is "one hundred twenty-four billion, one hundred fourteen million, eleven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 58 116 232 464 733 1466 2932 5864 11728 21257 42514 85028 170056 340112 364921 729842 1459684 2919368 5838736 10582709 21165418 42330836 84661672 169323344 267487093 534974186 1069948372 2139896744 4279793488 7757125697 15514251394 31028502788 62057005576 124114011152