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141206994126 = 232112981130323
BaseRepresentation
bin1000001110000010010…
…1111011110011001110
3111111110221212112102100
42003200211323303032
54303142442303001
6144511455535530
713126145434422
oct2034045736316
9444427775370
10141206994126
1154981737750
1223449b2a5a6
1310414964ac3
146b97a5cb82
153a16b8e586
hex20e097bcce

141206994126 has 96 divisors (see below), whose sum is σ = 345708155520. Its totient is φ = 41262177600.

The previous prime is 141206994067. The next prime is 141206994133. The reversal of 141206994126 is 621499602141.

141206994126 is a `hidden beast` number, since 141 + 2 + 0 + 6 + 99 + 412 + 6 = 666.

141206994126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 4641601 + ... + 4671923.

It is an arithmetic number, because the mean of its divisors is an integer number (3601126620).

Almost surely, 2141206994126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141206994126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172854077760).

141206994126 is an abundant number, since it is smaller than the sum of its proper divisors (204501161394).

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

141206994126 is a wasteful number, since it uses less digits than its factorization.

141206994126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31182 (or 31179 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 141206994126 in words is "one hundred forty-one billion, two hundred six million, nine hundred ninety-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 811 957 1622 1914 2433 2871 4866 5742 7299 8921 14598 17842 23519 26763 30323 47038 53526 60646 70557 80289 90969 141114 160578 181938 211671 258709 272907 333553 423342 517418 545814 667106 776127 879367 1000659 1552254 1758734 2001318 2328381 2638101 3001977 4656762 5276202 6003954 7914303 9673037 15828606 19346074 24591953 29019111 49183906 58038222 73775859 87057333 147551718 174114666 221327577 270511483 442655154 541022966 713166637 811534449 1426333274 1623068898 2139499911 2434603347 4278999822 4869206694 6418499733 7844833007 12836999466 15689666014 23534499021 47068998042 70603497063 141206994126