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543414414345 = 351117193730629
BaseRepresentation
bin1111110100001100000…
…01011110110000001001
31220221122111002110200120
413322012001132300021
532400403042224340
61053350252453453
754155213211045
oct7720601366011
91827574073616
10543414414345
1119a5082a7580
128939847a289
133c32270204a
141c431071025
15e20726d4d0
hex7e8605ec09

543414414345 has 32 divisors (see below), whose sum is σ = 1004299585920. Its totient is φ = 247975203840.

The previous prime is 543414414337. The next prime is 543414414373.

543414414345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 543414414345 - 23 = 543414414337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 543414414297 and 543414414306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96862510 + ... + 96868119.

It is an arithmetic number, because the mean of its divisors is an integer number (31384362060).

Almost surely, 2543414414345 is an apocalyptic number.

543414414345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

543414414345 is a deficient number, since it is larger than the sum of its proper divisors (460885171575).

543414414345 is a wasteful number, since it uses less digits than its factorization.

543414414345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193730665.

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 543414 and 414345, that added together give a palindrome (957759).

The spelling of 543414414345 in words is "five hundred forty-three billion, four hundred fourteen million, four hundred fourteen thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 165 187 255 561 935 2805 193730629 581191887 968653145 2131036919 2905959435 3293420693 6393110757 9880262079 10655184595 16467103465 31965553785 36227627623 49401310395 108682882869 181138138115 543414414345