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34334244144123 = 3711152879972227
BaseRepresentation
bin1111100111010000100000…
…11011010000001111111011
311111120022200111201020202120
413303220100123100033323
514000013013000102443
6201004533425132323
710142365401632610
oct763502033201773
9144508614636676
1034334244144123
11aa38086800280
123a26258a8a0a3
1316209227c2251
14869b017c0507
153e81a496b083
hex1f3a106d03fb

34334244144123 has 32 divisors (see below), whose sum is σ = 57075539189760. Its totient is φ = 17835835971360.

The previous prime is 34334244144061. The next prime is 34334244144143. The reversal of 34334244144123 is 32144144243343.

It is not a de Polignac number, because 34334244144123 - 230 = 34333170402299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34334244144143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34828936 + ... + 35801162.

It is an arithmetic number, because the mean of its divisors is an integer number (1783610599680).

Almost surely, 234334244144123 is an apocalyptic number.

34334244144123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34334244144123 is a deficient number, since it is larger than the sum of its proper divisors (22741295045637).

34334244144123 is a wasteful number, since it uses less digits than its factorization.

34334244144123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125127.

The product of its digits is 1327104, while the sum is 42.

Adding to 34334244144123 its reverse (32144144243343), we get a palindrome (66478388387466).

The spelling of 34334244144123 in words is "thirty-four trillion, three hundred thirty-four billion, two hundred forty-four million, one hundred forty-four thousand, one hundred twenty-three".

Divisors: 1 3 7 11 21 33 77 231 152879 458637 972227 1070153 1681669 2916681 3210459 5045007 6805589 10694497 11771683 20416767 32083491 35315049 74861479 224584437 148633091533 445899274599 1040431640731 1634964006863 3121294922193 4904892020589 11444748048041 34334244144123