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140213341010420 = 2254125501758141
BaseRepresentation
bin11111111000010111110110…
…011000100011100111110100
3200101110021010210222202220122
4133320113312120203213310
5121334223410244313140
61214113041501151112
741351036204664146
oct3770276630434764
9611407123882818
10140213341010420
1140749164711a97
121388635025b498
1360310a495aa82
14268a50d144c96
15113240dcc2ab5
hex7f85f66239f4

140213341010420 has 72 divisors (see below), whose sum is σ = 301860099253944. Its totient is φ = 54707382400000.

The previous prime is 140213341010401. The next prime is 140213341010441. The reversal of 140213341010420 is 24010143312041.

It can be written as a sum of positive squares in 12 ways, for example, as 51264826722916 + 88948514287504 = 7159946^2 + 9431252^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 140213341010420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184564550 + ... + 185322690.

It is an arithmetic number, because the mean of its divisors is an integer number (4192501378527).

Almost surely, 2140213341010420 is an apocalyptic number.

140213341010420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140213341010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150930049626972).

140213341010420 is an abundant number, since it is smaller than the sum of its proper divisors (161646758243524).

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

140213341010420 is a wasteful number, since it uses less digits than its factorization.

140213341010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763733 (or 763690 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 140213341010420 its reverse (24010143312041), we get a palindrome (164223484322461).

The spelling of 140213341010420 in words is "one hundred forty trillion, two hundred thirteen billion, three hundred forty-one million, ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1681 3362 5501 6724 8405 11002 16810 22004 27505 33620 55010 110020 225541 451082 758141 902164 1127705 1516282 2255410 3032564 3790705 4510820 7581410 9247181 15162820 18494362 31083781 36988724 46235905 62167562 92471810 124335124 155418905 184943620 310837810 621675620 1274435021 2548870042 4170533641 5097740084 6372175105 8341067282 12744350210 16682134564 20852668205 25488700420 41705336410 83410672820 170991879281 341983758562 683967517124 854959396405 1709918792810 3419837585620 7010667050521 14021334101042 28042668202084 35053335252605 70106670505210 140213341010420