Search a number
-
+
215414332243032 = 2331316740433102251
BaseRepresentation
bin110000111110101100001110…
…110000001011110001011000
31001020201102001012012012010210
4300332230032300023301120
5211213322023023234112
62042051551133011120
763242112652463346
oct6076541660136130
91036642035165123
10215414332243032
116270178379057a
12201b08a8023aa0
13932763b205570
143b2a175d3c996
1519d864b4acb3c
hexc3eb0ec0bc58

215414332243032 has 128 divisors (see below), whose sum is σ = 583454623772160. Its totient is φ = 65882164992000.

The previous prime is 215414332242947. The next prime is 215414332243043. The reversal of 215414332243032 is 230342233414512.

It is a super-2 number, since 2×2154143322430322 (a number of 29 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2106669907 + ... + 2106772157.

It is an arithmetic number, because the mean of its divisors is an integer number (4558239248220).

Almost surely, 2215414332243032 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 215414332243032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291727311886080).

215414332243032 is an abundant number, since it is smaller than the sum of its proper divisors (368040291529128).

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

215414332243032 is a wasteful number, since it uses less digits than its factorization.

215414332243032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142873 (or 142869 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

Adding to 215414332243032 its reverse (230342233414512), we get a palindrome (445756565657544).

The spelling of 215414332243032 in words is "two hundred fifteen trillion, four hundred fourteen billion, three hundred thirty-two million, two hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 167 312 334 501 668 1002 1336 2004 2171 4008 4342 6513 8684 13026 17368 26052 40433 52104 80866 102251 121299 161732 204502 242598 306753 323464 409004 485196 525629 613506 818008 970392 1051258 1227012 1329263 1576887 2102516 2454024 2658526 3153774 3987789 4205032 5317052 6307548 6752311 7975578 10634104 12615096 13504622 15951156 17075917 20256933 27009244 31902312 34151834 40513866 51227751 54018488 68303668 81027732 87780043 102455502 136607336 162055464 175560086 204911004 221986921 263340129 351120172 409822008 443973842 526680258 665960763 702240344 887947684 1053360516 1331921526 1775895368 2106721032 2663843052 4134314683 5327686104 8268629366 12402944049 16537258732 24805888098 33074517464 49611776196 53746090879 99223552392 107492181758 161238272637 214984363516 322476545274 429968727032 644953090548 690430552061 1289906181096 1380861104122 2071291656183 2761722208244 4142583312366 5523444416488 8285166624732 8975597176793 16570333249464 17951194353586 26926791530379 35902388707172 53853583060758 71804777414344 107707166121516 215414332243032