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140213341320400 = 2452549496379249
BaseRepresentation
bin11111111000010111110110…
…011001101111010011010000
3200101110021010211120112010101
4133320113312121233103100
5121334223410334223100
61214113041511542144
741351036210424655
oct3770276631572320
9611407124515111
10140213341320400
1140749164903977
121388635038a954
1360310a4a38baa
14268a50d1c5c2c
15113240dd3486a
hex7f85f666f4d0

140213341320400 has 60 divisors (see below), whose sum is σ = 336868735787500. Its totient is φ = 56084307056640.

The previous prime is 140213341320389. The next prime is 140213341320443. The reversal of 140213341320400 is 4023143312041.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 35518453189696 + 104694888130704 = 5959736^2 + 10232052^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18789976 + ... + 25169224.

Almost surely, 2140213341320400 is an apocalyptic number.

140213341320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140213341320400 is an abundant number, since it is smaller than the sum of its proper divisors (196655394467100).

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

140213341320400 is a wasteful number, since it uses less digits than its factorization.

140213341320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6434216 (or 6434205 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 140213341320400 its reverse (4023143312041), we get a palindrome (144236484632441).

The spelling of 140213341320400 in words is "one hundred forty trillion, two hundred thirteen billion, three hundred forty-one million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 54949 109898 219796 274745 439592 549490 879184 1098980 1373725 2197960 2747450 4395920 5494900 6379249 10989800 12758498 21979600 25516996 31896245 51033992 63792490 102067984 127584980 159481225 255169960 318962450 510339920 637924900 1275849800 2551699600 350533353301 701066706602 1402133413204 1752666766505 2804266826408 3505333533010 5608533652816 7010667066020 8763333832525 14021334132040 17526667665050 28042668264080 35053335330100 70106670660200 140213341320400