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41020142136655 = 511311011313075923
BaseRepresentation
bin10010101001110101111110…
…00000000010110101001111
312101020111011020022222212211
421110322333000002311033
520334033222341333110
6223124220530411251
711432415235116163
oct1124727700026517
9171214136288784
1041020142136655
11120855a99303a0
124725b8a730b27
1319b724b815956
14a1b557a46ca3
154b206492898a
hex254ebf002d4f

41020142136655 has 128 divisors (see below), whose sum is σ = 56600770609152. Its totient is φ = 28269259200000.

The previous prime is 41020142136647. The next prime is 41020142136689. The reversal of 41020142136655 is 55663124102014.

41020142136655 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41020142136655 - 23 = 41020142136647 is a prime.

It is a super-2 number, since 2×410201421366552 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 6925565524 + ... + 6925571446.

It is an arithmetic number, because the mean of its divisors is an integer number (442193520384).

Almost surely, 241020142136655 is an apocalyptic number.

41020142136655 is a deficient number, since it is larger than the sum of its proper divisors (15580628472497).

41020142136655 is a wasteful number, since it uses less digits than its factorization.

41020142136655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6509.

The product of its (nonzero) digits is 172800, while the sum is 40.

Adding to 41020142136655 its reverse (55663124102014), we get a palindrome (96683266238669).

The spelling of 41020142136655 in words is "forty-one trillion, twenty billion, one hundred forty-two million, one hundred thirty-six thousand, six hundred fifty-five".

Divisors: 1 5 11 31 55 101 131 155 307 341 505 655 1111 1441 1535 1705 3131 3377 4061 5555 5923 7205 9517 13231 15655 16885 20305 29615 31007 34441 40217 44671 47585 65153 66155 104687 145541 155035 172205 183613 201085 223355 325765 341077 410161 442387 523435 598223 727705 775913 918065 961217 1246727 1705385 1818361 2019743 2050805 2211935 2991115 3879565 4061917 4511771 4806085 6233635 6580453 8535043 9091805 10098715 10573387 13713997 18544913 20001971 20309585 22558855 24053303 32902265 42675215 44681087 52866935 56369191 68569985 78367213 92724565 100009855 120266515 125919427 183654461 203994043 223405435 238205291 264586333 281845955 391836065 620061101 629597135 862039343 918272305 1019970215 1191026455 1322931665 1385113697 2020199071 2429383603 2620258201 3100305505 4310196715 5693288291 6925568485 7384364021 10100995355 12146918015 13101291005 24058734391 26723219633 28466441455 36921820105 62626171201 81228004231 120293671955 133616098165 264646078301 313130856005 406140021155 745820766121 1323230391505 3729103830605 8204028427331 41020142136655