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142642252362645 = 32571939760033481
BaseRepresentation
bin100000011011101101111100…
…110010000011001110010101
3200201001110120211012212020200
4200123231330302003032111
5122144022313101101040
61223212540205051113
742021363662556660
oct4033557462031625
9621043524185220
10142642252362645
11414a526a867aa2
1213bb9035856a99
1361791504baa89
142731cc97ba6d7
1511756bb930630
hex81bb7cc83395

142642252362645 has 96 divisors (see below), whose sum is σ = 298188706433280. Its totient is φ = 61620284943360.

The previous prime is 142642252362641. The next prime is 142642252362653. The reversal of 142642252362645 is 546263252246241.

It is a happy number.

142642252362645 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 4 + 2 + 2 + 5 + 2 + 3 + 626 + 4 + 5 = 666.

142642252362645 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 142642252362645 - 22 = 142642252362641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142642252362591 and 142642252362600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142642252362641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27640696 + ... + 32392785.

It is an arithmetic number, because the mean of its divisors is an integer number (3106132358680).

Almost surely, 2142642252362645 is an apocalyptic number.

142642252362645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142642252362645 is an abundant number, since it is smaller than the sum of its proper divisors (155546454070635).

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

142642252362645 is a wasteful number, since it uses less digits than its factorization.

142642252362645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60033915 (or 60033912 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 142642252362645 in words is "one hundred forty-two trillion, six hundred forty-two billion, two hundred fifty-two million, three hundred sixty-two thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 397 399 665 855 1191 1197 1985 1995 2779 3573 5955 5985 7543 8337 13895 17865 22629 25011 37715 41685 52801 67887 113145 125055 158403 264005 339435 475209 792015 2376045 60033481 180100443 300167405 420234367 540301329 900502215 1140636139 1260703101 2101171835 2701506645 3421908417 3782109303 5703180695 6303515505 7984452973 10265725251 17109542085 18910546515 23833291957 23953358919 39922264865 51328626255 71499875871 71860076757 119166459785 119766794595 166833043699 214499627613 357499379355 359300383785 452832547183 500499131097 834165218495 1072498138065 1358497641549 1501497393291 2264162735915 2502495655485 3169827830281 4075492924647 6792488207745 7507486966455 9509483490843 15849139151405 20377464623235 28528450472529 47547417454215 142642252362645