Search a number
-
+
20131412004 = 22331123777129
BaseRepresentation
bin10010101111111011…
…001111100000100100
31220221222210200122000
4102233323033200210
5312212120141004
613125342005300
71311606115164
oct225773174044
956858720560
1020131412004
1185a0725890
123a99b76830
131b8a999012
14d8d9325a4
157cc577c39
hex4afecf824

20131412004 has 96 divisors (see below), whose sum is σ = 56969270400. Its totient is φ = 6097006080.

The previous prime is 20131412003. The next prime is 20131412017. The reversal of 20131412004 is 40021413102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20131412003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2820312 + ... + 2827440.

It is an arithmetic number, because the mean of its divisors is an integer number (593429900).

Almost surely, 220131412004 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 20131412004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28484635200).

20131412004 is an abundant number, since it is smaller than the sum of its proper divisors (36837858396).

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

20131412004 is a wasteful number, since it uses less digits than its factorization.

20131412004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9530 (or 9522 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20131412004 its reverse (40021413102), we get a palindrome (60152825106).

The spelling of 20131412004 in words is "twenty billion, one hundred thirty-one million, four hundred twelve thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2377 4754 7129 7131 9508 14258 14262 21387 21393 26147 28516 28524 42774 42786 52294 64161 64179 78419 78441 85548 85572 104588 128322 128358 156838 156882 192483 235257 235323 256644 256716 313676 313764 384966 470514 470646 705771 705969 769932 941028 941292 1411542 1411938 2117313 2823084 2823876 4234626 8469252 16945633 33891266 50836899 67782532 101673798 152510697 186401963 203347596 305021394 372803926 457532091 559205889 610042788 745607852 915064182 1118411778 1677617667 1830128364 2236823556 3355235334 5032853001 6710470668 10065706002 20131412004