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142072751205 = 32571141002237
BaseRepresentation
bin1000010001010000110…
…0100010010001100101
3111120201021221112212100
42010110030202101211
54311431111014310
6145133424042313
713156460313510
oct2042414422145
9446637845770
10142072751205
1155286400870
122364ba63399
131052212c1b8
146c3aa23d77
153a67ba4ec0
hex2114322465

142072751205 has 48 divisors (see below), whose sum is σ = 307024758144. Its totient is φ = 59043219840.

The previous prime is 142072751189. The next prime is 142072751213. The reversal of 142072751205 is 502157270241.

142072751205 is a `hidden beast` number, since 1 + 420 + 7 + 27 + 5 + 1 + 205 = 666.

It is not a de Polignac number, because 142072751205 - 24 = 142072751189 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 142072751205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20497654 + ... + 20504583.

It is an arithmetic number, because the mean of its divisors is an integer number (6396349128).

Almost surely, 2142072751205 is an apocalyptic number.

142072751205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142072751205 is an abundant number, since it is smaller than the sum of its proper divisors (164952006939).

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

142072751205 is a wasteful number, since it uses less digits than its factorization.

142072751205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41002266 (or 41002263 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 142072751205 in words is "one hundred forty-two billion, seventy-two million, seven hundred fifty-one thousand, two hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 41002237 123006711 205011185 287015659 369020133 451024607 615033555 861046977 1353073821 1435078295 1845100665 2255123035 2583140931 3157172249 4059221463 4305234885 6765369105 9471516747 12915704655 15785861245 20296107315 28414550241 47357583735 142072751205