Search a number
-
+
344133212442003 = 331271394931146423
BaseRepresentation
bin100111000111111001100000…
…1111000100000110110010011
31200010110210222021021111201000
41032033303001320200312103
5330101234304341121003
63215524340523313043
7132325542545604345
oct11617630170406623
91603423867244630
10344133212442003
119a719091986536
123271b3a467b783
1311a0381307658a
1460da1ca223295
1529bba644041a3
hex138fcc1e20d93

344133212442003 has 64 divisors (see below), whose sum is σ = 517646558822400. Its totient is φ = 225930774212640.

The previous prime is 344133212441951. The next prime is 344133212442059. The reversal of 344133212442003 is 300244212331443.

344133212442003 is a `hidden beast` number, since 3 + 4 + 4 + 13 + 3 + 212 + 4 + 420 + 0 + 3 = 666.

It is not a de Polignac number, because 344133212442003 - 28 = 344133212441747 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344133212442073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2350194250 + ... + 2350340672.

It is an arithmetic number, because the mean of its divisors is an integer number (8088227481600).

Almost surely, 2344133212442003 is an apocalyptic number.

344133212442003 is a deficient number, since it is larger than the sum of its proper divisors (173513346380397).

344133212442003 is a wasteful number, since it uses less digits than its factorization.

344133212442003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151629 (or 151623 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 344133212442003 its reverse (300244212331443), we get a palindrome (644377424773446).

The spelling of 344133212442003 in words is "three hundred forty-four trillion, one hundred thirty-three billion, two hundred twelve million, four hundred forty-two thousand, three".

Divisors: 1 3 9 27 127 139 381 417 1143 1251 3429 3753 4931 14793 17653 44379 52959 133137 146423 158877 439269 476631 626237 685409 1317807 1878711 2056227 3953421 5636133 6168681 16908399 18506043 18595721 20352797 55787163 61058391 87046943 167361489 183175173 261140829 502084467 549525519 722011813 783422487 2166035439 2350267461 2584805219 6498106317 7754415657 19494318951 23263246971 69789740913 91695500251 100359642007 275086500753 301078926021 825259502259 903236778063 2475778506777 2709710334189 12745674534889 38237023604667 114711070814001 344133212442003