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120400141340421 = 32412931453766421
BaseRepresentation
bin11011011000000011010111…
…101001111100111100000101
3120210022010210212022020112200
4123120003113221330330011
5111240113442140343141
61104023021130305113
734234423512360315
oct3330032751747405
9523263725266480
10120400141340421
11353aa45aa63778
121160642b888199
1352248b91244a7
1421a357dd05445
15ddbd3d66cab6
hex6d80d7a7cf05

120400141340421 has 48 divisors (see below), whose sum is σ = 178884347936112. Its totient is φ = 77987956147200.

The previous prime is 120400141340407. The next prime is 120400141340467. The reversal of 120400141340421 is 124043141004021.

120400141340421 is a `hidden beast` number, since 1 + 20 + 40 + 0 + 141 + 3 + 40 + 421 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19180142876196 + 101219998464225 = 4379514^2 + 10060815^2 .

It is not a de Polignac number, because 120400141340421 - 26 = 120400141340357 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120400141340021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156710791 + ... + 157477211.

It is an arithmetic number, because the mean of its divisors is an integer number (3726757248669).

Almost surely, 2120400141340421 is an apocalyptic number.

It is an amenable number.

120400141340421 is a deficient number, since it is larger than the sum of its proper divisors (58484206595691).

120400141340421 is a wasteful number, since it uses less digits than its factorization.

120400141340421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768214 (or 768211 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 120400141340421 its reverse (124043141004021), we get a palindrome (244443282344442).

The spelling of 120400141340421 in words is "one hundred twenty trillion, four hundred billion, one hundred forty-one million, three hundred forty thousand, four hundred twenty-one".

Divisors: 1 3 9 41 123 293 369 879 1453 2637 4359 12013 13077 36039 59573 108117 178719 425729 536157 766421 1277187 2299263 3831561 6897789 17454889 31423261 52364667 94269783 157094001 224561353 282809349 673684059 1113609713 2021052177 3340829139 9207015473 10022487417 27621046419 45657998233 82863139257 136973994699 326287645909 410921984097 978862937727 2936588813181 13377793482269 40133380446807 120400141340421