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34146264143 = 1925167310639
BaseRepresentation
bin11111110011010001…
…101010010001001111
310021010201012221111202
4133303101222101033
51024412420423033
623404144540115
72316114312335
oct376321522117
9107121187452
1034146264143
1113532748712
12674b62163b
1332b23a8134
14191cd93b55
15d4cb418e8
hex7f346a44f

34146264143 has 16 divisors (see below), whose sum is σ = 36143654400. Its totient is φ = 32169312000.

The previous prime is 34146264127. The next prime is 34146264149.

34146264143 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34146264143 - 24 = 34146264127 is a prime.

It is a super-3 number, since 3×341462641433 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34146264097 and 34146264106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34146264149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3204218 + ... + 3214856.

It is an arithmetic number, because the mean of its divisors is an integer number (2258978400).

Almost surely, 234146264143 is an apocalyptic number.

34146264143 is a deficient number, since it is larger than the sum of its proper divisors (1997390257).

34146264143 is a wasteful number, since it uses less digits than its factorization.

34146264143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11582.

The product of its digits is 165888, while the sum is 38.

The spelling of 34146264143 in words is "thirty-four billion, one hundred forty-six million, two hundred sixty-four thousand, one hundred forty-three".

Divisors: 1 19 251 673 4769 10639 12787 168923 202141 2670389 3209537 7160047 50737391 136040893 1797171797 34146264143