Search a number
-
+
120400431632 = 24131913030619
BaseRepresentation
bin111000000100001101…
…1001100101000010000
3102111202220122122102122
41300020123030220100
53433040002303012
6131151115033412
711461430532365
oct1601033145020
9374686578378
10120400431632
11470749a5358
121b401a3b868
13b47a14a270
145b825c046c
1531ea201e72
hex1c086cca10

120400431632 has 40 divisors (see below), whose sum is σ = 252535503360. Its totient is φ = 55278472320.

The previous prime is 120400431607. The next prime is 120400431649. The reversal of 120400431632 is 236134004021.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1475582 + ... + 1555037.

It is an arithmetic number, because the mean of its divisors is an integer number (6313387584).

Almost surely, 2120400431632 is an apocalyptic number.

It is an amenable number.

120400431632 is an abundant number, since it is smaller than the sum of its proper divisors (132135071728).

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

120400431632 is a wasteful number, since it uses less digits than its factorization.

120400431632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030831 (or 3030825 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 120400431632 its reverse (236134004021), we get a palindrome (356534435653).

The spelling of 120400431632 in words is "one hundred twenty billion, four hundred million, four hundred thirty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 191 208 382 764 1528 2483 3056 4966 9932 19864 39728 3030619 6061238 12122476 24244952 39398047 48489904 78796094 157592188 315184376 578848229 630368752 1157696458 2315392916 4630785832 7525026977 9261571664 15050053954 30100107908 60200215816 120400431632