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13144430432 = 257193088447
BaseRepresentation
bin11000011110111100…
…00001011101100000
31020221001120020202202
430033132001131200
5203404433233212
610012150432332
7643505546420
oct141736013540
936831506682
1013144430432
115635763151
12266a0626a8
1313162a07b3
148c9a04480
1551de810c2
hex30f781760

13144430432 has 48 divisors (see below), whose sum is σ = 31131555840. Its totient is φ = 5336834688.

The previous prime is 13144430419. The next prime is 13144430437. The reversal of 13144430432 is 23403444131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13144430395 and 13144430404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144430437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1539968 + ... + 1548479.

It is an arithmetic number, because the mean of its divisors is an integer number (648574080).

Almost surely, 213144430432 is an apocalyptic number.

It is an amenable number.

13144430432 is an abundant number, since it is smaller than the sum of its proper divisors (17987125408).

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

13144430432 is a wasteful number, since it uses less digits than its factorization.

13144430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088483 (or 3088475 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 13144430432 its reverse (23403444131), we get a palindrome (36547874563).

The spelling of 13144430432 in words is "thirteen billion, one hundred forty-four million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 3088447 6176894 12353788 21619129 24707576 43238258 49415152 58680493 86476516 98830304 117360986 172953032 234721972 345906064 410763451 469443944 691812128 821526902 938887888 1643053804 1877775776 3286107608 6572215216 13144430432