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41465344356414 = 23311229218830649
BaseRepresentation
bin10010110110110011001110…
…00111101111000000111110
312102211001022010212001022000
421123121213013233000332
520413332011123401124
6224104525523203130
711506525613416356
oct1133314707570076
9172731263761260
1041465344356414
1112237398987500
124798317b164a6
131a1a21bc18894
14a34d0d277b66
154bd91e8a76c9
hex25b6671ef03e

41465344356414 has 96 divisors (see below), whose sum is σ = 104776115220000. Its totient is φ = 12131971125120.

The previous prime is 41465344356407. The next prime is 41465344356427.

41465344356414 is a `hidden beast` number, since 4 + 1 + 4 + 6 + 5 + 34 + 43 + 564 + 1 + 4 = 666.

41465344356414 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109225839 + ... + 109604810.

It is an arithmetic number, because the mean of its divisors is an integer number (1091417866875).

Almost surely, 241465344356414 is an apocalyptic number.

41465344356414 is an abundant number, since it is smaller than the sum of its proper divisors (63310770863586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41465344356414 is a wasteful number, since it uses less digits than its factorization.

41465344356414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218830711 (or 218830694 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 41465344356414 in words is "forty-one trillion, four hundred sixty-five billion, three hundred forty-four million, three hundred fifty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 121 174 198 242 261 297 319 363 522 594 638 726 783 957 1089 1566 1914 2178 2871 3267 3509 5742 6534 7018 8613 10527 17226 21054 31581 63162 94743 189486 218830649 437661298 656491947 1312983894 1969475841 2407137139 3938951682 4814274278 5908427523 6346088821 7221411417 11816855046 12692177642 14442822834 19038266463 21664234251 26478508529 38076532926 43328468502 52957017058 57114799389 64992702753 69806977031 79435525587 114229598778 129985405506 139613954062 158871051174 171344398167 209420931093 238306576761 342688796334 418841862186 476613153522 628262793279 714919730283 767876747341 1256525586558 1429839460566 1535753494682 1884788379837 2303630242023 3769576759674 4607260484046 6910890726069 13821781452138 20732672178207 41465344356414