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46141012044105 = 35111759733380363
BaseRepresentation
bin10100111110111000010101…
…01000011110100101001001
320001101001000110111121110220
422133130022220132211021
522021433243040402410
6242044515512500253
712501402202130136
oct1237341250364511
9201331013447426
1046141012044105
111377a325450350
12521252b6aa689
131c991040827c4
14b5734609b58d
15550378686070
hex29f70aa1e949

46141012044105 has 128 divisors (see below), whose sum is σ = 86838379223040. Its totient is φ = 20670270812160.

The previous prime is 46141012044079. The next prime is 46141012044119. The reversal of 46141012044105 is 50144021014164.

It is a happy number.

46141012044105 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 46141012044105 - 27 = 46141012043977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 121117654 + ... + 121498016.

It is an arithmetic number, because the mean of its divisors is an integer number (678424837680).

Almost surely, 246141012044105 is an apocalyptic number.

It is an amenable number.

46141012044105 is a deficient number, since it is larger than the sum of its proper divisors (40697367178935).

46141012044105 is a wasteful number, since it uses less digits than its factorization.

46141012044105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381191.

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 46141012044105 its reverse (50144021014164), we get a palindrome (96285033058269).

The spelling of 46141012044105 in words is "forty-six trillion, one hundred forty-one billion, twelve million, forty-four thousand, one hundred five".

Divisors: 1 3 5 11 15 17 33 51 55 59 85 165 177 187 255 295 561 649 733 885 935 1003 1947 2199 2805 3009 3245 3665 5015 8063 9735 10995 11033 12461 15045 24189 33099 37383 40315 43247 55165 62305 120945 129741 137071 165495 186915 216235 380363 411213 475717 648705 685355 735199 1141089 1427151 1901815 2056065 2205597 2378585 3675995 4183993 5705445 6466171 7135755 8087189 11027985 12551979 19398513 20919965 22441417 24261567 32330855 40435945 62759895 67324251 71127881 96992565 112207085 121307835 213383643 246855587 278806079 336621255 355639405 381504089 740566761 836418237 1066918215 1144512267 1234277935 1394030395 1907520445 3066866869 3702833805 4182091185 4196544979 4739703343 5722561335 9200600607 12589634937 14219110029 15334334345 16449558661 20982724895 23698516715 46003003035 49348675983 52136736773 62948174685 71095550145 82247793305 156410210319 180945145271 246743379915 260683683865 279642497237 542835435813 782051051595 838927491711 904725726355 1398212486185 2714177179065 3076067469607 4194637458555 9228202408821 15380337348035 46141012044105