Search a number
-
+
34214432014410 = 2353069737152851
BaseRepresentation
bin1111100011110001010110…
…00100010000000001001010
311111010212102121001102211220
413301320223010100001022
513441032124043430120
6200433520523302510
710130624343425154
oct761705304200112
9144125377042756
1034214432014410
11a9a12939a395a
123a06ba007aa36
13161253a50613b
14863db73bdad4
153e4ee1225b40
hex1f1e2b11004a

34214432014410 has 32 divisors (see below), whose sum is σ = 82117314050112. Its totient is φ = 9123551068800.

The previous prime is 34214432014397. The next prime is 34214432014423. The reversal of 34214432014410 is 1441023441243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34214432014397) and next prime (34214432014423).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17655516 + ... + 19497335.

It is an arithmetic number, because the mean of its divisors is an integer number (2566166064066).

Almost surely, 234214432014410 is an apocalyptic number.

34214432014410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34214432014410 is an abundant number, since it is smaller than the sum of its proper divisors (47902882035702).

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

34214432014410 is a wasteful number, since it uses less digits than its factorization.

34214432014410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37183558.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 34214432014410 its reverse (1441023441243), we get a palindrome (35655455455653).

The spelling of 34214432014410 in words is "thirty-four trillion, two hundred fourteen billion, four hundred thirty-two million, fourteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 30697 61394 92091 153485 184182 306970 460455 920910 37152851 74305702 111458553 185764255 222917106 371528510 557292765 1114585530 1140481067147 2280962134294 3421443201441 5702405335735 6842886402882 11404810671470 17107216007205 34214432014410