Search a number
-
+
13411414420 = 2253756332191
BaseRepresentation
bin11000111110110000…
…11111000110010100
31021121122221102221121
430133120133012110
5204431310230140
610054445053324
7653230066405
oct143730370624
937548842847
1013411414420
115762437178
122723557244
1313596ab8a1
149132619ac
1553761c64a
hex31f61f194

13411414420 has 48 divisors (see below), whose sum is σ = 28977435648. Its totient is φ = 5210144640.

The previous prime is 13411414411. The next prime is 13411414447. The reversal of 13411414420 is 2441411431.

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, 400525 + ... + 432715.

It is an arithmetic number, because the mean of its divisors is an integer number (603696576).

Almost surely, 213411414420 is an apocalyptic number.

13411414420 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 13411414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14488717824).

13411414420 is an abundant number, since it is smaller than the sum of its proper divisors (15566021228).

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

13411414420 is a wasteful number, since it uses less digits than its factorization.

13411414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32800 (or 32798 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 13411414420 its reverse (2441411431), we get a palindrome (15852825851).

The spelling of 13411414420 in words is "thirteen billion, four hundred eleven million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 563 740 1126 2252 2815 5630 11260 20831 32191 41662 64382 83324 104155 128764 160955 208310 321910 416620 643820 1191067 2382134 4764268 5955335 11910670 18123533 23821340 36247066 72494132 90617665 181235330 362470660 670570721 1341141442 2682282884 3352853605 6705707210 13411414420