Search a number
-
+
35040113442 = 23273131203563
BaseRepresentation
bin100000101000100011…
…011011001100100010
310100110000011012020100
4200220203123030202
51033230232112232
624032555123230
72350220023065
oct405043331442
9110400135210
1035040113442
1113951259944
12695aa43516
1333c562a049
1419a598c8dc
15da1355c7c
hex8288db322

35040113442 has 48 divisors (see below), whose sum is σ = 77548112928. Its totient is φ = 11432041920.

The previous prime is 35040113419. The next prime is 35040113453. The reversal of 35040113442 is 24431104053.

It is a happy number.

35040113442 is a `hidden beast` number, since 3 + 504 + 0 + 113 + 4 + 42 = 666.

35040113442 is a modest number, since divided by 113442 gives 35040 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70353 + ... + 273915.

It is an arithmetic number, because the mean of its divisors is an integer number (1615585686).

Almost surely, 235040113442 is an apocalyptic number.

35040113442 is an abundant number, since it is smaller than the sum of its proper divisors (42507999486).

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

35040113442 is a wasteful number, since it uses less digits than its factorization.

35040113442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203775 (or 203772 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 35040113442 its reverse (24431104053), we get a palindrome (59471217495).

The spelling of 35040113442 in words is "thirty-five billion, forty million, one hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 73 131 146 219 262 393 438 657 786 1179 1314 2358 9563 19126 28689 57378 86067 172134 203563 407126 610689 1221378 1832067 3664134 14860099 26666753 29720198 44580297 53333506 80000259 89160594 133740891 160000518 240000777 267481782 480001554 1946672969 3893345938 5840018907 11680037814 17520056721 35040113442