Search a number
-
+
150240335005254 = 231316318016561311
BaseRepresentation
bin100010001010010010001101…
…110011001000011001000110
3201200221211120021012001020110
4202022102031303020121012
5124143014201230132004
61251311242421213450
743434335362454034
oct4212221563103106
9650854507161213
10150240335005254
114396462839794a
1214a25700261286
1365aa7ab4736b0
142915957391554
1512581689b1589
hex88a48dcc8646

150240335005254 has 64 divisors (see below), whose sum is σ = 325760637339648. Its totient is φ = 45918671904000.

The previous prime is 150240335005217. The next prime is 150240335005363. The reversal of 150240335005254 is 452500533042051.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 19617259 + ... + 26178569.

It is an arithmetic number, because the mean of its divisors is an integer number (5090009958432).

Almost surely, 2150240335005254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150240335005254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162880318669824).

150240335005254 is an abundant number, since it is smaller than the sum of its proper divisors (175520302334394).

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

150240335005254 is a wasteful number, since it uses less digits than its factorization.

150240335005254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6563293.

The product of its (nonzero) digits is 360000, while the sum is 39.

The spelling of 150240335005254 in words is "one hundred fifty trillion, two hundred forty billion, three hundred thirty-five million, five thousand, two hundred fifty-four".

Divisors: 1 2 3 6 13 26 39 78 163 326 489 978 1801 2119 3602 4238 5403 6357 10806 12714 23413 46826 70239 140478 293563 587126 880689 1761378 3816319 6561311 7632638 11448957 13122622 19683933 22897914 39367866 85297043 170594086 255891129 511782258 1069493693 2138987386 3208481079 6416962158 11816921111 13903418009 23633842222 27806836018 35450763333 41710254027 70901526666 83420508054 153619974443 307239948886 460859923329 921719846658 1926158141093 3852316282186 5778474423279 11556948846558 25040055834209 50080111668418 75120167502627 150240335005254