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146560434540 = 223513187897993
BaseRepresentation
bin1000100001111110101…
…1101100000101101100
3112000022001022111002020
42020133223230011230
54400123432401130
6151155014430140
713405622065422
oct2103753540554
9460261274066
10146560434540
11571795a9773
12244a2962350
1310a88ab2820
147144a45112
153c2bb5de10
hex221faec16c

146560434540 has 48 divisors (see below), whose sum is σ = 441936081888. Its totient is φ = 36076414464.

The previous prime is 146560434491. The next prime is 146560434563. The reversal of 146560434540 is 45434065641.

146560434540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146560434492 and 146560434501.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 93948217 + ... + 93949776.

It is an arithmetic number, because the mean of its divisors is an integer number (9207001706).

Almost surely, 2146560434540 is an apocalyptic number.

146560434540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146560434540 is an abundant number, since it is smaller than the sum of its proper divisors (295375647348).

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

146560434540 is a wasteful number, since it uses less digits than its factorization.

146560434540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187898018 (or 187898016 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 146560434540 in words is "one hundred forty-six billion, five hundred sixty million, four hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 187897993 375795986 563693979 751591972 939489965 1127387958 1878979930 2254775916 2442673909 2818469895 3757959860 4885347818 5636939790 7328021727 9770695636 11273879580 12213369545 14656043454 24426739090 29312086908 36640108635 48853478180 73280217270 146560434540