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41213434042215 = 33519313251159431
BaseRepresentation
bin10010101111011110000000…
…00110001001011101100111
312101220222002002011011202000
421113233000012021131213
520400220103103322330
6223353105031020343
711452400213161431
oct1127570006113547
9171828062134660
1041213434042215
111214a5790a2996
12475753380a6b3
1319cc544154576
14a26a52c75651
154b70c8ee4560
hex257bc0189767

41213434042215 has 128 divisors (see below), whose sum is σ = 79637431910400. Its totient is φ = 20145574800000.

The previous prime is 41213434042199. The next prime is 41213434042219. The reversal of 41213434042215 is 51224043431214.

41213434042215 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 3 + 434 + 0 + 4 + 2 + 215 = 666.

41213434042215 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41213434042215 - 24 = 41213434042199 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41213434042215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41213434042219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 258423550 + ... + 258582980.

It is an arithmetic number, because the mean of its divisors is an integer number (622167436800).

Almost surely, 241213434042215 is an apocalyptic number.

41213434042215 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41213434042215 is a deficient number, since it is larger than the sum of its proper divisors (38423997868185).

41213434042215 is a wasteful number, since it uses less digits than its factorization.

41213434042215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162746 (or 162740 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 41213434042215 its reverse (51224043431214), we get a palindrome (92437477473429).

The spelling of 41213434042215 in words is "forty-one trillion, two hundred thirteen billion, four hundred thirty-four million, forty-two thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 19 27 31 45 57 93 95 135 155 171 279 285 465 513 589 837 855 1395 1767 2565 2945 3251 4185 5301 8835 9753 15903 16255 26505 29259 48765 61769 79515 87777 100781 146295 159431 185307 302343 308845 438885 478293 503905 555921 797155 907029 926535 1434879 1511715 1667763 1914839 2391465 2721087 2779605 3029189 4304637 4535145 4942361 5744517 7174395 8338815 9087567 9574195 13605435 14827083 15145945 17233551 21523185 24711805 27262701 28722585 44481249 45437835 51700653 74135415 81788103 86167755 93904859 133443747 136313505 222406245 258503265 281714577 408940515 469524295 518310181 667218735 845143731 1408572885 1554930543 2535431193 2591550905 4225718655 4664791629 7774652715 9847893439 12677155965 13994374887 16067615611 23323958145 29543680317 48202846833 49239467195 69971874435 80338078055 88631040951 144608540499 147718401585 241014234165 265893122853 305284696609 433825621497 443155204755 723042702495 915854089827 1329465614265 1526423483045 2169128107485 2747562269481 4579270449135 8242686808443 13737811347405 41213434042215