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3424403244312 = 2332473191317123
BaseRepresentation
bin110001110101001110010…
…101101100010100011000
3110010100222112211220100100
4301311032111230110120
5422101134212304222
611141052113535400
7502255622212011
oct61651625542430
913110875756310
103424403244312
1111003103a2786
12473809874560
131babc5b7377b
14bba560a2008
155e1237334ac
hex31d4e56c518

3424403244312 has 96 divisors (see below), whose sum is σ = 9474751802880. Its totient is φ = 1116827574720.

The previous prime is 3424403244247. The next prime is 3424403244313. The reversal of 3424403244312 is 2134423044243.

3424403244312 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 403 + 244 + 3 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424403244313) 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, 10639783 + ... + 10956905.

It is an arithmetic number, because the mean of its divisors is an integer number (98695331280).

Almost surely, 23424403244312 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 3424403244312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737375901440).

3424403244312 is an abundant number, since it is smaller than the sum of its proper divisors (6050348558568).

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

3424403244312 is a wasteful number, since it uses less digits than its factorization.

3424403244312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320373 (or 320366 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 3424403244312 its reverse (2134423044243), we get a palindrome (5558826288555).

The spelling of 3424403244312 in words is "three trillion, four hundred twenty-four billion, four hundred three million, two hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3191 3384 6382 9573 12764 19146 25528 28719 38292 57438 76584 114876 149977 229752 299954 317123 449931 599908 634246 899862 951369 1199816 1268492 1349793 1799724 1902738 2536984 2699586 2854107 3599448 3805476 5399172 5708214 7610952 10798344 11416428 14904781 22832856 29809562 44714343 59619124 89428686 119238248 134143029 178857372 268286058 357714744 536572116 1011939493 1073144232 2023878986 3035818479 4047757972 6071636958 8095515944 9107455437 12143273916 18214910874 24286547832 36429821748 47561156171 72859643496 95122312342 142683468513 190244624684 285366937026 380489249368 428050405539 570733874052 856100811078 1141467748104 1712201622156 3424403244312