Search a number
-
+
145205230477232 = 24291313476884359
BaseRepresentation
bin100001000001000000111010…
…001011101001111110110000
3201001010111002011201010101202
4201001000322023221332300
5123013020303000232412
61232454210104550332
742404505655234052
oct4101007213517660
9631114064633352
10145205230477232
11422a3213125962
12143518b5a823a8
136303a4361ac73
1427bdd8368d8d2
1511bc1c44633c2
hex84103a2e9fb0

145205230477232 has 80 divisors (see below), whose sum is σ = 294103163692800. Its totient is φ = 69363486716160.

The previous prime is 145205230477183. The next prime is 145205230477247. The reversal of 145205230477232 is 232774032502541.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17649869 + ... + 24534227.

It is an arithmetic number, because the mean of its divisors is an integer number (3676289546160).

Almost surely, 2145205230477232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145205230477232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147051581846400).

145205230477232 is an abundant number, since it is smaller than the sum of its proper divisors (148897933215568).

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

145205230477232 is a wasteful number, since it uses less digits than its factorization.

145205230477232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6884874 (or 6884868 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 47.

Adding to 145205230477232 its reverse (232774032502541), we get a palindrome (377979262979773).

The spelling of 145205230477232 in words is "one hundred forty-five trillion, two hundred five billion, two hundred thirty million, four hundred seventy-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 116 131 232 262 347 464 524 694 1048 1388 2096 2776 3799 5552 7598 10063 15196 20126 30392 40252 45457 60784 80504 90914 161008 181828 363656 727312 1318253 2636506 5273012 6884359 10546024 13768718 21092048 27537436 55074872 110149744 199646411 399292822 798585644 901851029 1597171288 1803702058 2388872573 3194342576 3607404116 4777745146 7214808232 9555490292 14429616464 19110980584 26153679841 38221961168 52307359682 69277304617 104614719364 138554609234 209229438728 277109218468 312942307063 418458877456 554218436936 625884614126 1108436873872 1251769228252 2503538456504 5007076913008 9075326904827 18150653809654 36301307619308 72602615238616 145205230477232