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144398685618 = 2321119200319163
BaseRepresentation
bin1000011001111011010…
…1010001010110110010
3111210201101121021001100
42012132311101112302
54331212030414433
6150200312545230
713301222401425
oct2063665212662
9453641537040
10144398685618
115626a325810
1223b9a9b2216
1310802c84955
146dbb8c39bc
153b51e9ab13
hex219ed515b2

144398685618 has 96 divisors (see below), whose sum is σ = 359467580160. Its totient is φ = 41431309920.

The previous prime is 144398685611. The next prime is 144398685671. The reversal of 144398685618 is 816586893441.

144398685618 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 9 + 8 + 6 + 8 + 5 + 618 = 666.

144398685618 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144398685611) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7525705 + ... + 7544867.

It is an arithmetic number, because the mean of its divisors is an integer number (3744453960).

Almost surely, 2144398685618 is an apocalyptic number.

144398685618 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144398685618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179733790080).

144398685618 is an abundant number, since it is smaller than the sum of its proper divisors (215068894542).

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

144398685618 is a wasteful number, since it uses less digits than its factorization.

144398685618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21204 (or 21201 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 144398685618 in words is "one hundred forty-four billion, three hundred ninety-eight million, six hundred eighty-five thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 2003 3762 4006 6009 12018 18027 19163 22033 36054 38057 38326 44066 57489 66099 76114 114171 114978 132198 172467 198297 210793 228342 342513 344934 364097 396594 418627 421586 632379 685026 728194 837254 1092291 1255881 1264758 1897137 2184582 2511762 3276873 3767643 3794274 4005067 6553746 7535286 8010134 12015201 24030402 36045603 38383489 72091206 76766978 115150467 230300934 345451401 422218379 690902802 729286291 844436758 1266655137 1458572582 2187858873 2533310274 3799965411 4375717746 6563576619 7599930822 8022149201 13127153238 16044298402 24066447603 48132895206 72199342809 144398685618