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42432036045 = 35719371035581
BaseRepresentation
bin100111100001001001…
…010111110011001101
311001112011100202202120
4213201021113303031
51143400100123140
631254253443153
73031335232620
oct474111276315
9131464322676
1042432036045
1116aa4861793
1282824a04b9
134002ba6b49
1420a75a9db7
15118528a1d0
hex9e1257ccd

42432036045 has 128 divisors (see below), whose sum is σ = 84710645760. Its totient is φ = 17703152640.

The previous prime is 42432036043. The next prime is 42432036061. The reversal of 42432036045 is 54063023424.

It is not a de Polignac number, because 42432036045 - 21 = 42432036043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42432035997 and 42432036015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42432036043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7600155 + ... + 7605735.

It is an arithmetic number, because the mean of its divisors is an integer number (661801920).

Almost surely, 242432036045 is an apocalyptic number.

It is an amenable number.

42432036045 is a deficient number, since it is larger than the sum of its proper divisors (42278609715).

42432036045 is a wasteful number, since it uses less digits than its factorization.

42432036045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5755.

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 42432036045 its reverse (54063023424), we get a palindrome (96495059469).

The spelling of 42432036045 in words is "forty-two billion, four hundred thirty-two million, thirty-six thousand, forty-five".

Divisors: 1 3 5 7 15 19 21 35 37 57 95 103 105 111 133 185 259 285 309 399 515 555 665 703 721 777 1295 1545 1957 1995 2109 2163 3515 3605 3811 3885 4921 5581 5871 9785 10545 10815 11433 13699 14763 16743 19055 24605 26677 27905 29355 39067 41097 57165 68495 72409 73815 80031 83715 106039 117201 133385 195335 205485 206497 217227 318117 362045 400155 506863 530195 574843 586005 619491 742273 1032485 1086135 1445479 1520589 1590585 1724529 2226819 2534315 2874215 3097455 3711365 3923443 4023901 4336437 7227395 7602945 8622645 10922017 11134095 11770329 12071703 19617215 20119505 21269191 21682185 27464101 32766051 54610085 58851645 60358515 63807573 76454119 82392303 106345955 137320505 148884337 163830255 229362357 319037865 382270595 404114629 411961515 446653011 744421685 1146811785 1212343887 2020573145 2233265055 2828802403 6061719435 8486407209 14144012015 42432036045