Search a number
-
+
41454690786168 = 233111399887114259
BaseRepresentation
bin10010110110011111011000…
…00111100101101101111000
312102210000210200021121100020
421123033230013211231320
520413143201320124133
6224100004432210440
711506000611520662
oct1133175407455570
9172700720247306
1041454690786168
11122329212554a0
124796244099a20
131a192119c736a
14a345bc3c5532
154bd4e94490b3
hex25b3ec1e5b78

41454690786168 has 128 divisors (see below), whose sum is σ = 113884130304000. Its totient is φ = 12470282651520.

The previous prime is 41454690786167. The next prime is 41454690786221. The reversal of 41454690786168 is 86168709645414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41454690786167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362756223 + ... + 362870481.

It is an arithmetic number, because the mean of its divisors is an integer number (889719768000).

Almost surely, 241454690786168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41454690786168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56942065152000).

41454690786168 is an abundant number, since it is smaller than the sum of its proper divisors (72429439517832).

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

41454690786168 is a wasteful number, since it uses less digits than its factorization.

41454690786168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124305 (or 124301 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 69.

The spelling of 41454690786168 in words is "forty-one trillion, four hundred fifty-four billion, six hundred ninety million, seven hundred eighty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 139 264 278 417 556 834 1112 1529 1668 3058 3336 4587 6116 9174 9887 12232 18348 19774 29661 36696 39548 59322 79096 108757 114259 118644 217514 228518 237288 326271 342777 435028 457036 652542 685554 870056 914072 1256849 1305084 1371108 1374293 2513698 2610168 2742216 2748586 3770547 4122879 5027396 5497172 7541094 8245758 10054792 10994344 15082188 15117223 15882001 16491516 30164376 30234446 31764002 32983032 45351669 47646003 60468892 63528004 90703338 95292006 120937784 127056008 174702011 181406676 190584012 349404022 362813352 381168024 524106033 698808044 1048212066 1129678733 1397616088 2096424132 2259357466 3389036199 4192848264 4518714932 6778072398 9037429864 12426466063 13556144796 24852932126 27112289592 37279398189 49705864252 74558796378 99411728504 149117592756 157025343887 298235185512 314050687774 471076031661 628101375548 942152063322 1256202751096 1727278782757 1884304126644 3454557565514 3768608253288 5181836348271 6909115131028 10363672696542 13818230262056 20727345393084 41454690786168