[go: up one dir, main page]

Search a number
-
+
1201400442 = 2321112747777
BaseRepresentation
bin100011110011011…
…1110101001111010
310002201122110120200
41013212332221322
54430024303232
6315114103030
741525510124
oct10746765172
93081573520
101201400442
11567182a30
1229641aa76
13161b94a48
14b57b6214
157071577c
hex479bea7a

1201400442 has 48 divisors (see below), whose sum is σ = 2862093312. Its totient is φ = 361186560.

The previous prime is 1201400441. The next prime is 1201400513. The reversal of 1201400442 is 2440041021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1201400441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1258 + ... + 49034.

It is an arithmetic number, because the mean of its divisors is an integer number (59626944).

Almost surely, 21201400442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201400442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431046656).

1201400442 is an abundant number, since it is smaller than the sum of its proper divisors (1660692870).

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

1201400442 is a wasteful number, since it uses less digits than its factorization.

1201400442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47923 (or 47920 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1201400442 is about 34661.2238964524. The cubic root of 1201400442 is about 1063.0717950557.

Adding to 1201400442 its reverse (2440041021), we get a palindrome (3641441463).

The spelling of 1201400442 in words is "one billion, two hundred one million, four hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 127 198 254 381 762 1143 1397 2286 2794 4191 8382 12573 25146 47777 95554 143331 286662 429993 525547 859986 1051094 1576641 3153282 4729923 6067679 9459846 12135358 18203037 36406074 54609111 66744469 109218222 133488938 200233407 400466814 600700221 1201400442