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41233122133214 = 211171392772863387
BaseRepresentation
bin10010110000000010101011…
…00110010000010011011110
312101222211220011202211021112
421120001111212100103132
520401030413231230324
6223410122415102022
711453665130165564
oct1130012546202336
9171884804684245
1041233122133214
1112157961554080
12475b309211912
131a0136102195b
14a2799d967a34
154b787c69cc0e
hex2580559904de

41233122133214 has 64 divisors (see below), whose sum is σ = 72215103502080. Its totient is φ = 17449703354880.

The previous prime is 41233122133201. The next prime is 41233122133267.

41233122133214 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, 12968429 + ... + 15831815.

It is an arithmetic number, because the mean of its divisors is an integer number (1128360992220).

Almost surely, 241233122133214 is an apocalyptic number.

41233122133214 is a deficient number, since it is larger than the sum of its proper divisors (30981981368866).

41233122133214 is a wasteful number, since it uses less digits than its factorization.

41233122133214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863833.

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 4123312 and 2133214, that added together give a palindrome (6256526).

The spelling of 41233122133214 in words is "forty-one trillion, two hundred thirty-three billion, one hundred twenty-two million, one hundred thirty-three thousand, two hundred fourteen".

Divisors: 1 2 11 17 22 34 139 187 277 278 374 554 1529 2363 3047 3058 4709 4726 6094 9418 25993 38503 51799 51986 77006 103598 423533 654551 847066 1309102 2863387 5726774 7200061 14400122 31497257 48677579 62994514 97355158 398010793 535453369 793158199 796021586 1070906738 1586316398 4378118723 6766183481 8724740189 8756237446 13483689383 13532366962 17449480378 26967378766 74428018291 110248989661 148320583213 148856036582 220497979322 296641166426 1212738886271 1874232824237 2425477772542 3748465648474 20616561066607 41233122133214