Search a number
-
+
120021525414 = 2337245359609
BaseRepresentation
bin110111111000111010…
…1110010001110100110
3102110210111200012211000
41233301311302032212
53431301002303124
6131045341454130
711446150063500
oct1576165621646
9373714605730
10120021525414
11469a002751a
121b316b71346
13b4197b2bbb
145b4814ad70
1531c6d086c9
hex1bf1d723a6

120021525414 has 48 divisors (see below), whose sum is σ = 310259732400. Its totient is φ = 34291863648.

The previous prime is 120021525413. The next prime is 120021525457. The reversal of 120021525414 is 414525120021.

It is a happy number.

120021525414 is a `hidden beast` number, since 1 + 200 + 21 + 5 + 25 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021525413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22677159 + ... + 22682450.

It is an arithmetic number, because the mean of its divisors is an integer number (6463744425).

Almost surely, 2120021525414 is an apocalyptic number.

120021525414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

120021525414 is an abundant number, since it is smaller than the sum of its proper divisors (190238206986).

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

120021525414 is a wasteful number, since it uses less digits than its factorization.

120021525414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45359634 (or 45359621 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 120021525414 its reverse (414525120021), we get a palindrome (534546645435).

The spelling of 120021525414 in words is "one hundred twenty billion, twenty-one million, five hundred twenty-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 45359609 90719218 136078827 272157654 317517263 408236481 635034526 816472962 952551789 1224709443 1905103578 2222620841 2449418886 2857655367 4445241682 5715310734 6667862523 8572966101 13335725046 17145932202 20003587569 40007175138 60010762707 120021525414