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344111402414203 = 31671031319150359
BaseRepresentation
bin100111000111101111010110…
…1111001110111000001111011
31200010101201200021212022002121
41032033132231321313001323
5330100410123004223303
63215510332414542111
7132324141224456434
oct11617365571670173
91603351607768077
10344111402414203
119a70a90a773876
1232717118507937
1311a017486aa498
1460d911b7b448b
1529bb1d97ed9bd
hex138f7ade7707b

344111402414203 has 32 divisors (see below), whose sum is σ = 360983367843840. Its totient is φ = 327613335588000.

The previous prime is 344111402414191. The next prime is 344111402414267. The reversal of 344111402414203 is 302414204111443.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-344111402414203 is a prime.

It is a super-2 number, since 2×3441114024142032 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344111442414203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6833140738 + ... + 6833191096.

It is an arithmetic number, because the mean of its divisors is an integer number (11280730245120).

Almost surely, 2344111402414203 is an apocalyptic number.

344111402414203 is a deficient number, since it is larger than the sum of its proper divisors (16871965429637).

344111402414203 is a wasteful number, since it uses less digits than its factorization.

344111402414203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54679.

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 344111402414203 its reverse (302414204111443), we get a palindrome (646525606525646).

The spelling of 344111402414203 in words is "three hundred forty-four trillion, one hundred eleven billion, four hundred two million, four hundred fourteen thousand, two hundred three".

Divisors: 1 31 67 1031 2077 3191 31961 50359 69077 98921 213797 1561129 2141387 3289921 3374053 6627707 51920129 101987551 104595643 160695569 220424707 1609523999 3478648643 4981562639 6833165917 10766603123 107838107933 165677131639 333764696813 5135991080809 11100367819813 344111402414203