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41242323000114 = 23253711513140241
BaseRepresentation
bin10010110000010011110100…
…00000110001101100110010
312102000201122101211021212200
421120021322000301230302
520401203234142000424
6223414243413404030
711454442132234455
oct1130117200615462
9172021571737780
1041242323000114
111216085316a605
124761056639616
131a021992a09b2
14a281d390949c
154b7c1a3058c9
hex25827a031b32

41242323000114 has 96 divisors (see below), whose sum is σ = 92335084852608. Its totient is φ = 13296873408000.

The previous prime is 41242323000089. The next prime is 41242323000127. The reversal of 41242323000114 is 41100032324214.

41242323000114 is a `hidden beast` number, since 4 + 1 + 2 + 423 + 230 + 0 + 0 + 1 + 1 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1024863034 + ... + 1024903274.

It is an arithmetic number, because the mean of its divisors is an integer number (961823800548).

Almost surely, 241242323000114 is an apocalyptic number.

41242323000114 is an abundant number, since it is smaller than the sum of its proper divisors (51092761852494).

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

41242323000114 is a wasteful number, since it uses less digits than its factorization.

41242323000114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55504 (or 55501 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41242323000114 its reverse (41100032324214), we get a palindrome (82342355324328).

The spelling of 41242323000114 in words is "forty-one trillion, two hundred forty-two billion, three hundred twenty-three million, one hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 53 71 106 142 159 213 318 426 477 639 954 1278 3763 7526 11289 15131 22578 30262 33867 40241 45393 67734 80482 90786 120723 136179 241446 272358 362169 724338 801943 1074301 1603886 2132773 2148602 2405829 2857111 3222903 4265546 4811658 5714222 6398319 6445806 7217487 8571333 9668709 12796638 14434974 17142666 19194957 19337418 25713999 38389914 51427998 56937953 113875906 151426883 170813859 302853766 341627718 454280649 512441577 608886571 908561298 1024883154 1217773142 1362841947 1826659713 2725683894 3653319426 5479979139 10959958278 32270988263 43230946541 64541976526 86461893082 96812964789 129692839623 193625929578 259385679246 290438894367 389078518869 580877788734 778157037738 2291240166673 4582480333346 6873720500019 13747441000038 20621161500057 41242323000114