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142601206640 = 24513713011059
BaseRepresentation
bin1000010011001110110…
…0011011101101110000
3111122002010022212102212
42010303230123231300
54314021402103030
6145302102431252
713205535154064
oct2046354335560
9448063285385
10142601206640
11555277331a2
1223778a32528
13105a7768219
146c8aca5aa4
153a9928e595
hex2133b1bb70

142601206640 has 40 divisors (see below), whose sum is σ = 333967888080. Its totient is φ = 56624124416.

The previous prime is 142601206637. The next prime is 142601206687. The reversal of 142601206640 is 46602106241.

142601206640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 142601206597 and 142601206606.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6494570 + ... + 6516489.

It is an arithmetic number, because the mean of its divisors is an integer number (8349197202).

Almost surely, 2142601206640 is an apocalyptic number.

142601206640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142601206640 is an abundant number, since it is smaller than the sum of its proper divisors (191366681440).

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

142601206640 is a wasteful number, since it uses less digits than its factorization.

142601206640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13011209 (or 13011203 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 142601206640 in words is "one hundred forty-two billion, six hundred one million, two hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 13011059 26022118 52044236 65055295 104088472 130110590 208176944 260221180 520442360 1040884720 1782515083 3565030166 7130060332 8912575415 14260120664 17825150830 28520241328 35650301660 71300603320 142601206640