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414544445414 = 2111943149154789
BaseRepresentation
bin1100000100001001100…
…01100011111111100110
31110122000022111202021022
412002010301203333212
523242441334223124
6514234502051142
741643540434651
oct6020461437746
91418008452238
10414544445414
1114a897594520
1268412119ab2
1330125994368
14160c7ac0898
15abb3723c5e
hex6084c63fe6

414544445414 has 64 divisors (see below), whose sum is σ = 735562080000. Its totient is φ = 173189197440.

The previous prime is 414544445387. The next prime is 414544445423.

414544445414 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2600732 + ... + 2755520.

It is an arithmetic number, because the mean of its divisors is an integer number (11493157500).

Almost surely, 2414544445414 is an apocalyptic number.

414544445414 is a deficient number, since it is larger than the sum of its proper divisors (321017634586).

414544445414 is a wasteful number, since it uses less digits than its factorization.

414544445414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155013.

The product of its digits is 1638400, while the sum is 44.

It can be divided in two parts, 414544 and 445414, that added together give a palindrome (859958).

The spelling of 414544445414 in words is "four hundred fourteen billion, five hundred forty-four million, four hundred forty-five thousand, four hundred fourteen".

Divisors: 1 2 11 19 22 38 43 86 149 209 298 418 473 817 946 1634 1639 2831 3278 5662 6407 8987 12814 17974 31141 62282 70477 121733 140954 154789 243466 309578 1339063 1702679 2678126 2940991 3405358 5881982 6655927 13311854 23063561 32350901 46127122 64701802 73215197 126462613 146430394 252925226 253699171 438207659 507398342 876415318 991733123 1391088743 1983466246 2782177486 4820284249 9640568498 10909064353 18842929337 21818128706 37685858674 207272222707 414544445414