Search a number
-
+
141242333331015 = 3257716315329011
BaseRepresentation
bin100000000111010110001011…
…000110101111111001000111
3200112002122011001120200111100
4200013112023012233321013
5122003103244313043030
61220221455425511143
741515264455255210
oct4007261306577107
9615078131520440
10141242333331015
114100559aa92514
1213a118637a24b3
1360a71305c2ca7
1426c4245c4a407
15114e085966360
hex80758b1afe47

141242333331015 has 48 divisors (see below), whose sum is σ = 283735101851136. Its totient is φ = 63658516420800.

The previous prime is 141242333331007. The next prime is 141242333331017. The reversal of 141242333331015 is 510133333242141.

141242333331015 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 4 + 2 + 3 + 333 + 310 + 1 + 5 = 666.

141242333331015 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141242333331015 - 23 = 141242333331007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141242333331017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3157642141 + ... + 3157686870.

It is an arithmetic number, because the mean of its divisors is an integer number (5911147955232).

Almost surely, 2141242333331015 is an apocalyptic number.

141242333331015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

141242333331015 is an abundant number, since it is smaller than the sum of its proper divisors (142492768520121).

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

141242333331015 is a wasteful number, since it uses less digits than its factorization.

141242333331015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6315329100 (or 6315329097 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 141242333331015 its reverse (510133333242141), we get a palindrome (651375666573156).

The spelling of 141242333331015 in words is "one hundred forty-one trillion, two hundred forty-two billion, three hundred thirty-three million, three hundred thirty-one thousand, fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 63 71 105 213 315 355 497 639 1065 1491 2485 3195 4473 7455 22365 6315329011 18945987033 31576645055 44207303077 56837961099 94729935165 132621909231 221036515385 284189805495 397865727693 448388359781 663109546155 1345165079343 1989328638465 2241941798905 3138718518467 4035495238029 6725825396715 9416155555401 15693592592335 20177476190145 28248466666203 47080777777005 141242333331015