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140122010041041 = 37194124135541239
BaseRepresentation
bin11111110111000010110010…
…101000100011101011010001
3200101010112101210122211001010
4133313002302220203223101
5121331224334032303131
61214003055053401133
741341324014363330
oct3767026250435321
9611115353584033
10140122010041041
1140713457770a06
12138707017991a9
1360255ab179562
142685d27583d17
15112ed65b89b46
hex7f70b2a23ad1

140122010041041 has 64 divisors (see below), whose sum is σ = 231194344550400. Its totient is φ = 73698311116800.

The previous prime is 140122010041021. The next prime is 140122010041049. The reversal of 140122010041041 is 140140010221041.

It is not a de Polignac number, because 140122010041041 - 223 = 140122001652433 is a prime.

It is a super-3 number, since 3×1401220100410413 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 140122010040999 and 140122010041017.

It is not an unprimeable number, because it can be changed into a prime (140122010041049) 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, 13828101 + ... + 21713138.

It is an arithmetic number, because the mean of its divisors is an integer number (3612411633600).

Almost surely, 2140122010041041 is an apocalyptic number.

It is an amenable number.

140122010041041 is a deficient number, since it is larger than the sum of its proper divisors (91072334509359).

140122010041041 is a wasteful number, since it uses less digits than its factorization.

140122010041041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35541550.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 140122010041041 its reverse (140140010221041), we get a palindrome (280262020262082).

The spelling of 140122010041041 in words is "one hundred forty trillion, one hundred twenty-two billion, ten million, forty-one thousand, forty-one".

Divisors: 1 3 7 19 21 41 57 123 133 241 287 399 723 779 861 1687 2337 4579 5061 5453 9881 13737 16359 29643 32053 69167 96159 187739 207501 563217 1314173 3942519 35541239 106623717 248788673 675283541 746366019 1457190799 2025850623 4371572397 4726984787 8565438599 10200335593 14180954361 25696315797 27686625181 30601006779 59958070193 83059875543 162743333381 179874210579 193806376267 351182982559 488230000143 581419128801 1053548947677 1139203333667 2458280877913 3417610001001 6672476668621 7374842633739 20017430005863 46707336680347 140122010041041