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124444431012 = 223112439195229
BaseRepresentation
bin111001111100101110…
…1110101001010100100
3102220012202011002200110
41303321131311022210
54014330233243022
6133100300013020
711663564132136
oct1637135651244
9386182132613
10124444431012
114885a700a00
1220150231170
13b972c059c5
146047709056
15338526900c
hex1cf97752a4

124444431012 has 72 divisors (see below), whose sum is σ = 319896068800. Its totient is φ = 37624340160.

The previous prime is 124444430969. The next prime is 124444431017. The reversal of 124444431012 is 210134444421.

It is a happy number.

It is a super-3 number, since 3×1244444310123 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (124444431017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539814 + ... + 735042.

Almost surely, 2124444431012 is an apocalyptic number.

124444431012 is a gapful number since it is divisible by the number (12) 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 124444431012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159948034400).

124444431012 is an abundant number, since it is smaller than the sum of its proper divisors (195451637788).

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

124444431012 is a wasteful number, since it uses less digits than its factorization.

124444431012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195697 (or 195684 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 124444431012 its reverse (210134444421), we get a palindrome (334578875433).

The spelling of 124444431012 in words is "one hundred twenty-four billion, four hundred forty-four million, four hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 439 484 726 878 1317 1452 1756 2634 4829 5268 9658 14487 19316 28974 53119 57948 106238 159357 195229 212476 318714 390458 585687 637428 780916 1171374 2147519 2342748 4295038 6442557 8590076 12885114 23622709 25770228 47245418 70868127 85705531 94490836 141736254 171411062 257116593 283472508 342822124 514233186 942760841 1028466372 1885521682 2828282523 3771043364 5656565046 10370369251 11313130092 20740738502 31111107753 41481477004 62222215506 124444431012