Search a number
-
+
334130412233120 = 25517122842063321
BaseRepresentation
bin100101111111000111100110…
…0100001111010000110100000
31121211001112222220221220102112
41023332033030201322012200
5322243343041012424440
63142345220424134452
7130244061045651536
oct11376171441720640
91554045886856375
10334130412233120
1197511a03a420a8
1231584867007428
1311459493a49a29
145c71dd9258156
152896773734965
hex12fe3cc87a1a0

334130412233120 has 48 divisors (see below), whose sum is σ = 835817398842888. Its totient is φ = 125790272839680.

The previous prime is 334130412233087. The next prime is 334130412233129. The reversal of 334130412233120 is 21332214031433.

It can be written as a sum of positive squares in 4 ways, for example, as 285126324147856 + 49004088085264 = 16885684^2 + 7000292^2 .

It is a super-2 number, since 2×3341304122331202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (334130412233129) 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, 61421028941 + ... + 61421034380.

Almost surely, 2334130412233120 is an apocalyptic number.

It is an amenable number.

334130412233120 is an abundant number, since it is smaller than the sum of its proper divisors (501686986609768).

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

334130412233120 is a wasteful number, since it uses less digits than its factorization.

334130412233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122842063353 (or 122842063345 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 334130412233120 its reverse (21332214031433), we get a palindrome (355462626264553).

The spelling of 334130412233120 in words is "three hundred thirty-four trillion, one hundred thirty billion, four hundred twelve million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 122842063321 245684126642 491368253284 614210316605 982736506568 1228420633210 1965473013136 2088315076457 2456841266420 3930946026272 4176630152914 4913682532840 8353260305828 9827365065680 10441575382285 16706520611656 19654730131360 20883150764570 33413041223312 41766301529140 66826082446624 83532603058280 167065206116560 334130412233120