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2041405135 = 5711172371191
BaseRepresentation
bin111100110101101…
…0101111011001111
312021021021010101121
41321223111323033
513140044431020
6534322221411
7101405441320
oct17153257317
95237233347
102041405135
11958357990
1248b7b4867
13266c13643
14155196447
15be340baa
hex79ad5ecf

2041405135 has 128 divisors (see below), whose sum is σ = 3439853568. Its totient is φ = 1123584000.

The previous prime is 2041405127. The next prime is 2041405151. The reversal of 2041405135 is 5315041402.

It is a happy number.

It is not a de Polignac number, because 2041405135 - 23 = 2041405127 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10687890 + ... + 10688080.

It is an arithmetic number, because the mean of its divisors is an integer number (26873856).

Almost surely, 22041405135 is an apocalyptic number.

2041405135 is a deficient number, since it is larger than the sum of its proper divisors (1398448433).

2041405135 is a wasteful number, since it uses less digits than its factorization.

2041405135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325.

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2041405135 is about 45181.9115908125. The cubic root of 2041405135 is about 1268.5562643996.

Adding to 2041405135 its reverse (5315041402), we get a palindrome (7356446537).

The spelling of 2041405135 in words is "two billion, forty-one million, four hundred five thousand, one hundred thirty-five".

Divisors: 1 5 7 11 17 23 35 55 71 77 85 115 119 161 187 191 253 355 385 391 497 595 781 805 935 955 1207 1265 1309 1337 1633 1771 1955 2101 2485 2737 3247 3905 4301 4393 5467 6035 6545 6685 8165 8449 8855 10505 11431 13277 13561 13685 14707 16235 17963 21505 21965 22729 27335 27761 30107 30751 35717 42245 48323 57155 66385 67805 73535 74681 89815 92939 94927 113645 125741 138805 149171 150535 153755 178585 194327 230537 241615 250019 305371 311903 338261 373405 464695 474635 522767 628705 745855 821491 971635 1044197 1152685 1250095 1526855 1559515 1613759 1691305 2137597 2183321 2535907 2613835 3430933 4107455 5220985 5302351 5750437 8068795 10687985 10916605 12679535 17154665 17751349 24016531 26511755 28752185 37116457 58325861 88756745 120082655 185582285 291629305 408281027 2041405135