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1341105144 = 233473793137
BaseRepresentation
bin100111111101111…
…1010001111111000
310110110112012101220
41033323322033320
510221310331034
6341024312040
745143130351
oct11773721770
93413465356
101341105144
11629023165
12315172620
13184aca852
14ca180d28
157cb0e749
hex4fefa3f8

1341105144 has 64 divisors (see below), whose sum is σ = 3434227200. Its totient is φ = 436230144.

The previous prime is 1341105127. The next prime is 1341105179. The reversal of 1341105144 is 4415011431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425944 + ... + 429080.

It is an arithmetic number, because the mean of its divisors is an integer number (53659800).

Almost surely, 21341105144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341105144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717113600).

1341105144 is an abundant number, since it is smaller than the sum of its proper divisors (2093122056).

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

1341105144 is a wasteful number, since it uses less digits than its factorization.

1341105144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1341105144 is about 36621.1024410790. The cubic root of 1341105144 is about 1102.7767708221.

Adding to 1341105144 its reverse (4415011431), we get a palindrome (5756116575).

The spelling of 1341105144 in words is "one billion, three hundred forty-one million, one hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 379 564 758 1128 1137 1516 2274 3032 3137 4548 6274 9096 9411 12548 17813 18822 25096 35626 37644 53439 71252 75288 106878 142504 147439 213756 294878 427512 442317 589756 884634 1179512 1188923 1769268 2377846 3538536 3566769 4755692 7133538 9511384 14267076 28534152 55879381 111758762 167638143 223517524 335276286 447035048 670552572 1341105144