Search a number
-
+
140213341010020 = 22561622918450629
BaseRepresentation
bin11111111000010111110110…
…011000100011100001100100
3200101110021010210222202100211
4133320113312120203201210
5121334223410244310040
61214113041501145204
741351036204663035
oct3770276630434144
9611407123882324
10140213341010020
1140749164711763
121388635025b204
1360310a495a835
14268a50d144a8c
15113240dcc28ea
hex7f85f6623864

140213341010020 has 48 divisors (see below), whose sum is σ = 299323094439600. Its totient is φ = 55157045368320.

The previous prime is 140213341010011. The next prime is 140213341010023. The reversal of 140213341010020 is 20010143312041.

It can be written as a sum of positive squares in 8 ways, for example, as 2112627366144 + 138100713643876 = 1453488^2 + 11751626^2 .

It is a junction number, because it is equal to n+sod(n) for n = 140213341009973 and 140213341010000.

It is not an unprimeable number, because it can be changed into a prime (140213341010023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1625935 + ... + 16824694.

It is an arithmetic number, because the mean of its divisors is an integer number (6235897800825).

Almost surely, 2140213341010020 is an apocalyptic number.

140213341010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140213341010020 is an abundant number, since it is smaller than the sum of its proper divisors (159109753429580).

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

140213341010020 is a wasteful number, since it uses less digits than its factorization.

140213341010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18456928 (or 18456926 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 140213341010020 its reverse (20010143312041), we get a palindrome (160223484322061).

The spelling of 140213341010020 in words is "one hundred forty trillion, two hundred thirteen billion, three hundred forty-one million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 6229 12458 24916 31145 62290 124580 379969 759938 1519876 1899845 3799690 7599380 18450629 36901258 73802516 92253145 184506290 369012580 1125488369 2250976738 4501953476 5627441845 11254883690 22509767380 114928968041 229857936082 459715872164 574644840205 1149289680410 2298579360820 7010667050501 14021334101002 28042668202004 35053335252505 70106670505010 140213341010020