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41214244134 = 237172312132069
BaseRepresentation
bin100110011000100011…
…110111010100100110
310221101021212112022110
4212120203313110212
51133401321303014
630533352141450
72656220203110
oct463043672446
9127337775273
1041214244134
111652a403698
127ba2697886
133b6a7c330b
141dcd9683b0
1511133d7d59
hex9988f7526

41214244134 has 128 divisors (see below), whose sum is σ = 104218306560. Its totient is φ = 10587101184.

The previous prime is 41214244133. The next prime is 41214244139. The reversal of 41214244134 is 43144241214.

It is a happy number.

41214244134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×412142441342 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41214244133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19918852 + ... + 19920920.

It is an arithmetic number, because the mean of its divisors is an integer number (814205520).

Almost surely, 241214244134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41214244134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52109153280).

41214244134 is an abundant number, since it is smaller than the sum of its proper divisors (63004062426).

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

41214244134 is a wasteful number, since it uses less digits than its factorization.

41214244134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334.

The product of its digits is 12288, while the sum is 30.

Adding to 41214244134 its reverse (43144241214), we get a palindrome (84358485348).

The spelling of 41214244134 in words is "forty-one billion, two hundred fourteen million, two hundred forty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 238 322 357 391 483 714 782 966 1173 1213 2069 2346 2426 2737 3639 4138 5474 6207 7278 8211 8491 12414 14483 16422 16982 20621 25473 27899 28966 35173 41242 43449 47587 50946 55798 61863 70346 83697 86898 95174 105519 123726 142761 144347 167394 195293 211038 246211 285522 288694 333109 390586 433041 474283 492422 585879 666218 738633 808979 866082 948566 999327 1171758 1422849 1477266 1617958 1998654 2426937 2509697 2845698 3319981 4853874 5019394 5662853 6639962 7529091 9959943 11325706 15058182 16988559 17567879 19919886 33977118 35135758 42664849 52703637 57723031 85329698 105407274 115446062 127994547 173169093 255989094 298653943 346338186 404061217 597307886 808122434 895961829 981291527 1212183651 1791923658 1962583054 2424367302 2943874581 5887749162 6869040689 13738081378 20607122067 41214244134