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4040104141007 = 1119375359167077
BaseRepresentation
bin111010110010101000111…
…110001110000011001111
3112022020012210201011000222
4322302220332032003033
51012143113130003012
612331555340541555
7564613355404034
oct72625076160317
915266183634028
104040104141007
11131844250a360
12552bba8518bb
13233c9861159c
14dd78369938b
157015bbb3972
hex3aca8f8e0cf

4040104141007 has 64 divisors (see below), whose sum is σ = 4936954406400. Its totient is φ = 3265279879680.

The previous prime is 4040104141001. The next prime is 4040104141061. The reversal of 4040104141007 is 7001414010404.

It is a cyclic number.

It is not a de Polignac number, because 4040104141007 - 216 = 4040104075471 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040104141001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24097553 + ... + 24264629.

It is an arithmetic number, because the mean of its divisors is an integer number (77139912600).

Almost surely, 24040104141007 is an apocalyptic number.

4040104141007 is a deficient number, since it is larger than the sum of its proper divisors (896850265393).

4040104141007 is a wasteful number, since it uses less digits than its factorization.

4040104141007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167256.

The product of its (nonzero) digits is 1792, while the sum is 26.

The spelling of 4040104141007 in words is "four trillion, forty billion, one hundred four million, one hundred forty-one thousand, seven".

Divisors: 1 11 19 37 53 59 209 407 583 649 703 1007 1121 1961 2183 3127 7733 11077 12331 21571 24013 34397 37259 41477 59413 115699 167077 409849 456247 653543 1272689 1837847 2198281 3174463 6181849 8855081 9857543 24181091 34919093 68000339 97405891 108432973 117455131 168246539 187293317 327637997 364729091 522449779 1292006441 1850711929 2060226487 3604017967 4012020001 5746947569 6225121943 6929852729 9926545801 19330641823 68476341373 76228380019 109192003811 212637060053 367282194637 4040104141007