Search a number
-
+
145012030244334 = 232111815379175223
BaseRepresentation
bin100000111110001100111110…
…100011010000010111101110
3201000110000101201101101210100
4200332030332203100113232
5123001334114220304314
61232225335041251530
742354526202321661
oct4076147643202756
9630400351341710
10145012030244334
11422292906873a0
1214320377633ba6
1362bb763c98726
1427b48966c56d8
1511b7167e54c09
hex83e33e8d05ee

145012030244334 has 96 divisors (see below), whose sum is σ = 344660374775808. Its totient is φ = 43698866904000.

The previous prime is 145012030244287. The next prime is 145012030244351. The reversal of 145012030244334 is 433442030210541.

145012030244334 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 1 + 203 + 0 + 2 + 443 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1927724247 + ... + 1927799469.

It is an arithmetic number, because the mean of its divisors is an integer number (3590212237248).

Almost surely, 2145012030244334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145012030244334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172330187387904).

145012030244334 is an abundant number, since it is smaller than the sum of its proper divisors (199648344531474).

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

145012030244334 is a wasteful number, since it uses less digits than its factorization.

145012030244334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129214 (or 129211 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 145012030244334 its reverse (433442030210541), we get a palindrome (578454060454875).

The spelling of 145012030244334 in words is "one hundred forty-five trillion, twelve billion, thirty million, two hundred forty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 181 198 362 543 1086 1629 1991 3258 3982 5973 11946 17919 35838 53791 75223 107582 150446 161373 225669 322746 451338 484119 591701 677007 827453 968238 1183402 1354014 1654906 1775103 2482359 3550206 4964718 5325309 7447077 9736171 10650618 13615363 14894154 19472342 27230726 29208513 40846089 58417026 81692178 87625539 107097881 122538267 149768993 175251078 214195762 245076534 299537986 321293643 449306979 642587286 898613958 963880929 1347920937 1927761858 2695841874 4046320393 8092640786 12138961179 24277922358 36416883537 44509524323 72833767074 89019048646 133528572969 267057145938 400585718907 732383991133 801171437814 1464767982266 2197151973399 4394303946798 6591455920197 8056223902463 13182911840394 16112447804926 24168671707389 48337343414778 72506015122167 145012030244334