Search a number
-
+
344213231420432 = 24115933239975451
BaseRepresentation
bin100111001000011110110001…
…1011000101100010000010000
31200010202110111221002210012202
41032100331203120230100100
5330104042144220423212
63220025213035542332
7132334404520651553
oct11620754330542020
91603673457083182
10344213231420432
119a74a014575370
12327329b68ba9a8
1311a0b2260c481a
14610001b6dc69a
1529bdb993c10c2
hex1390f6362c410

344213231420432 has 80 divisors (see below), whose sum is σ = 740095542639360. Its totient is φ = 153762384336000.

The previous prime is 344213231420407. The next prime is 344213231420447. The reversal of 344213231420432 is 234024132312443.

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, 29518307 + ... + 39493757.

It is an arithmetic number, because the mean of its divisors is an integer number (9251194282992).

Almost surely, 2344213231420432 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 344213231420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370047771319680).

344213231420432 is an abundant number, since it is smaller than the sum of its proper divisors (395882311218928).

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

344213231420432 is a wasteful number, since it uses less digits than its factorization.

344213231420432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9978852 (or 9978846 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 344213231420432 its reverse (234024132312443), we get a palindrome (578237363732875).

The spelling of 344213231420432 in words is "three hundred forty-four trillion, two hundred thirteen billion, two hundred thirty-one million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 59 88 118 176 236 472 649 944 1298 2596 3323 5192 6646 10384 13292 26584 36553 53168 73106 146212 196057 292424 392114 584848 784228 1568456 2156627 3136912 4313254 8626508 9975451 17253016 19950902 34506032 39901804 79803608 109729961 159607216 219459922 438919844 588551609 877839688 1177103218 1755679376 2354206436 4708412872 6474067699 9416825744 12948135398 25896270796 33148423673 51792541592 66296847346 103585083184 132593694692 265187389384 364632660403 530374778768 729265320806 1458530641612 1955756996707 2917061283224 3911513993414 5834122566448 7823027986828 15646055973656 21513326963777 31292111947312 43026653927554 86053307855108 172106615710216 344213231420432