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42531054106140 = 22325466350672021
BaseRepresentation
bin10011010101110100010000…
…10111110011011000011100
312120120221002021202121200100
421222322020113303120130
521033312044322344030
6230242255125501100
711646524112006645
oct1152721027633034
9176527067677610
1042531054106140
1112608356295986
12492a977b71790
131a96879844222
14a7072a5ca6cc
154db4e4c74360
hex26ae885f361c

42531054106140 has 72 divisors (see below), whose sum is σ = 129038533591968. Its totient is φ = 11339181947520.

The previous prime is 42531054106049. The next prime is 42531054106153. The reversal of 42531054106140 is 4160145013524.

42531054106140 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 10 + 541 + 0 + 61 + 40 = 666.

42531054106140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42531054106095 and 42531054106104.

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 23 ways as a sum of consecutive naturals, for example, 24496671 + ... + 26175350.

It is an arithmetic number, because the mean of its divisors is an integer number (1792201855444).

Almost surely, 242531054106140 is an apocalyptic number.

It is an amenable number.

42531054106140 is an abundant number, since it is smaller than the sum of its proper divisors (86507479485828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42531054106140 is a wasteful number, since it uses less digits than its factorization.

42531054106140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50676699 (or 50676694 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 42531054106140 its reverse (4160145013524), we get a palindrome (46691199119664).

The spelling of 42531054106140 in words is "forty-two trillion, five hundred thirty-one billion, fifty-four million, one hundred six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4663 9326 13989 18652 23315 27978 41967 46630 55956 69945 83934 93260 139890 167868 209835 279780 419670 839340 50672021 101344042 152016063 202688084 253360105 304032126 456048189 506720210 608064252 760080315 912096378 1013440420 1520160630 1824192756 2280240945 3040321260 4560481890 9120963780 236283633923 472567267846 708850901769 945134535692 1181418169615 1417701803538 2126552705307 2362836339230 2835403607076 3544254508845 4253105410614 4725672678460 7088509017690 8506210821228 10632763526535 14177018035380 21265527053070 42531054106140