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343443141344343 = 31959172159339941
BaseRepresentation
bin100111000010111000001011…
…0011100001011110001010111
31200001000211210000202121102210
41032011300112130023301113
5330003433023141004333
63214235333453004503
7132224643131215065
oct11605602634136127
91601024700677383
10343443141344343
119a482466821157
12326296b9183733
131198371a9627a1
1460b4a45855035
1529a8b26d63a63
hex1385c1670bc57

343443141344343 has 32 divisors (see below), whose sum is σ = 490480224595200. Its totient is φ = 213111086918400.

The previous prime is 343443141344341. The next prime is 343443141344467.

343443141344343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343443141344343 - 21 = 343443141344341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343443141344292 and 343443141344301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343443141344341) 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, 23882248 + ... + 35457693.

It is an arithmetic number, because the mean of its divisors is an integer number (15327507018600).

Almost surely, 2343443141344343 is an apocalyptic number.

343443141344343 is a deficient number, since it is larger than the sum of its proper divisors (147037083250857).

343443141344343 is a wasteful number, since it uses less digits than its factorization.

343443141344343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59341743.

The product of its digits is 11943936, while the sum is 48.

The spelling of 343443141344343 in words is "three hundred forty-three trillion, four hundred forty-three billion, one hundred forty-one million, three hundred forty-four thousand, three hundred forty-three".

Divisors: 1 3 19 57 59 177 1121 1721 3363 5163 32699 98097 101539 304617 1929241 5787723 59339941 178019823 1127458879 3382376637 3501056519 10503169557 66520073861 102124038461 199560221583 306372115383 1940356730759 5821070192277 6025318269199 18075954807597 114481047114781 343443141344343