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40141108007 = 71113374612351
BaseRepresentation
bin100101011000100110…
…001011001100100111
310211121111120120021222
4211120212023030213
51124202110424012
630235055130555
72620506534260
oct453046131447
9124544516258
1040141108007
1116029677630
127943213a5b
133a2938a020
141d2b21d967
15109e0ab972
hex95898b327

40141108007 has 64 divisors (see below), whose sum is σ = 55496060928. Its totient is φ = 28019520000.

The previous prime is 40141107991. The next prime is 40141108027. The reversal of 40141108007 is 70080114104.

It is a cyclic number.

It is not a de Polignac number, because 40141108007 - 24 = 40141107991 is a prime.

It is a super-2 number, since 2×401411080072 (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 (40141108027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17072882 + ... + 17075232.

It is an arithmetic number, because the mean of its divisors is an integer number (867125952).

Almost surely, 240141108007 is an apocalyptic number.

40141108007 is a deficient number, since it is larger than the sum of its proper divisors (15354952921).

40141108007 is a wasteful number, since it uses less digits than its factorization.

40141108007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880.

The product of its (nonzero) digits is 896, while the sum is 26.

The spelling of 40141108007 in words is "forty billion, one hundred forty-one million, one hundred eight thousand, seven".

Divisors: 1 7 11 13 37 77 91 143 259 407 461 481 1001 2351 2849 3227 3367 5071 5291 5993 16457 17057 25861 30563 35497 37037 41951 65923 86987 119399 181027 187627 213941 221741 336193 461461 608909 956857 1083811 1130831 1313389 1552187 2353351 2439151 6697999 7586677 7915817 11921921 12439141 14089543 17074057 40101007 83453447 87073987 98626801 154984973 280707049 441111077 521313091 1084894811 3087777539 3649191637 5734444001 40141108007