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124434444420 = 2232511135981937
BaseRepresentation
bin111001111100011011…
…1101111000010000100
3102220012001100201122200
41303320313233002010
54014320204210140
6133055301554500
711663413216536
oct1637067570204
9386161321580
10124434444420
1148854aaa920
1220148a15a30
13b970b1a290
146046269856
153384445030
hex1cf8def084

124434444420 has 288 divisors, whose sum is σ = 450960531840. Its totient is φ = 27373178880.

The previous prime is 124434444389. The next prime is 124434444443. The reversal of 124434444420 is 24444434421.

It is a happy number.

124434444420 is a `hidden beast` number, since 124 + 434 + 44 + 44 + 20 = 666.

It is a super-2 number, since 2×1244344444202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1477692 + ... + 1559628.

It is an arithmetic number, because the mean of its divisors is an integer number (1565835180).

Almost surely, 2124434444420 is an apocalyptic number.

124434444420 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 124434444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225480265920).

124434444420 is an abundant number, since it is smaller than the sum of its proper divisors (326526087420).

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

124434444420 is a wasteful number, since it uses less digits than its factorization.

124434444420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82035 (or 82030 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 124434444420 its reverse (24444434421), we get a palindrome (148878878841).

Subtracting from 124434444420 its reverse (24444434421), we obtain a palindrome (99990009999).

The spelling of 124434444420 in words is "one hundred twenty-four billion, four hundred thirty-four million, four hundred forty-four thousand, four hundred twenty".