Search a number
-
+
344503522344132 = 223221712144074697
BaseRepresentation
bin100111001010100101111101…
…0000100101011110011000100
31200011210012210210200122010100
41032111023322010223303010
5330123321203210003012
63220410422221524100
7132364362303050304
oct11625137204536304
91604705723618110
10344503522344132
119a85113a1a1968
123277b110713630
1311a2c7095a6768
1461100b91ab604
1529c64d94db8dc
hex13952fa12bcc4

344503522344132 has 36 divisors (see below), whose sum is σ = 870832378703196. Its totient is φ = 114833975946240.

The previous prime is 344503522344109. The next prime is 344503522344161. The reversal of 344503522344132 is 231443225305443.

344503522344132 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 0 + 3 + 5 + 223 + 4 + 413 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 139145049792576 + 205358472551556 = 11795976^2 + 14330334^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14220993 + ... + 29853704.

It is an arithmetic number, because the mean of its divisors is an integer number (24189788297311).

Almost surely, 2344503522344132 is an apocalyptic number.

It is an amenable number.

344503522344132 is an abundant number, since it is smaller than the sum of its proper divisors (526328856359064).

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

344503522344132 is a wasteful number, since it uses less digits than its factorization.

344503522344132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44291828 (or 44291823 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 45.

Adding to 344503522344132 its reverse (231443225305443), we get a palindrome (575946747649575).

The spelling of 344503522344132 in words is "three hundred forty-four trillion, five hundred three billion, five hundred twenty-two million, three hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 217121 434242 651363 868484 1302726 1954089 2605452 3908178 7816356 44074697 88149394 132224091 176298788 264448182 396672273 528896364 793344546 1586689092 9569542287337 19139084574674 28708626862011 38278169149348 57417253724022 86125880586033 114834507448044 172251761172066 344503522344132