Search a number
-
+
20131411432 = 23111094195009
BaseRepresentation
bin10010101111111011…
…001111010111101000
31220221222210122211211
4102233323033113220
5312212120131212
613125342002504
71311606113416
oct225773172750
956858718754
1020131411432
1185a0725410
123a99b76434
131b8a998992
14d8d9322b6
157cc5779a7
hex4afecf5e8

20131411432 has 64 divisors (see below), whose sum is σ = 41663160000. Its totient is φ = 9043246080.

The previous prime is 20131411423. The next prime is 20131411459. The reversal of 20131411432 is 23411413102.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 4016544 + ... + 4021552.

It is an arithmetic number, because the mean of its divisors is an integer number (650986875).

Almost surely, 220131411432 is an apocalyptic number.

20131411432 is a gapful number since it is divisible by the number (22) 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 20131411432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20831580000).

20131411432 is an abundant number, since it is smaller than the sum of its proper divisors (21531748568).

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

20131411432 is a wasteful number, since it uses less digits than its factorization.

20131411432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5554 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 20131411432 its reverse (23411413102), we get a palindrome (43542824534).

The spelling of 20131411432 in words is "twenty billion, one hundred thirty-one million, four hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 109 218 419 436 838 872 1199 1676 2398 3352 4609 4796 5009 9218 9592 10018 18436 20036 36872 40072 45671 55099 91342 110198 182684 220396 365368 440792 502381 545981 1004762 1091962 2009524 2098771 2183924 4019048 4197542 4367848 6005791 8395084 12011582 16790168 23086481 24023164 46172962 48046328 92345924 184691848 228766039 457532078 915064156 1830128312 2516426429 5032852858 10065705716 20131411432