Search a number
-
+
11423234413200 = 2435252320898713
BaseRepresentation
bin1010011000111010110111…
…0101000101001010010000
31111110001100211212112100110
42212032231311011022100
52444124241002210300
640143432245521320
72256205253300331
oct246165565051220
944401324775313
1011423234413200
113704626028895
121345a96113240
1364b28b56748c
142b6c5d406288
1514c227c68550
hexa63add45290

11423234413200 has 240 divisors, whose sum is σ = 36684153978560. Its totient is φ = 3038567178240.

The previous prime is 11423234413189. The next prime is 11423234413301. The reversal of 11423234413200 is 231443232411.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1311052044 + ... + 1311060756.

Almost surely, 211423234413200 is an apocalyptic number.

11423234413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11423234413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18342076989280).

11423234413200 is an abundant number, since it is smaller than the sum of its proper divisors (25260919565360).

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

11423234413200 is a wasteful number, since it uses less digits than its factorization.

11423234413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11346 (or 11335 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 11423234413200 its reverse (231443232411), we get a palindrome (11654677645611).

The spelling of 11423234413200 in words is "eleven trillion, four hundred twenty-three billion, two hundred thirty-four million, four hundred thirteen thousand, two hundred".