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201413213040 = 243513219125999
BaseRepresentation
bin1011101110010100101…
…0011011101101110000
3201020212211111100100010
42323211022123231300
511244443240304130
6232310012054520
720360131030434
oct2734512335560
9636784440303
10201413213040
1178467565066
1233050a64440
1315cbb045b00
149a69a729c4
15538c5790b0
hex2ee529bb70

201413213040 has 240 divisors, whose sum is σ = 679670784000. Its totient is φ = 49317166080.

The previous prime is 201413212951. The next prime is 201413213041. The reversal of 201413213040 is 40312314102.

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

It is a junction number, because it is equal to n+sod(n) for n = 201413212998 and 201413213016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201413213041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7733961 + ... + 7759959.

It is an arithmetic number, because the mean of its divisors is an integer number (2831961600).

Almost surely, 2201413213040 is an apocalyptic number.

201413213040 is a gapful number since it is divisible by the number (20) 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 201413213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339835392000).

201413213040 is an abundant number, since it is smaller than the sum of its proper divisors (478257570960).

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

201413213040 is a wasteful number, since it uses less digits than its factorization.

201413213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26232 (or 26213 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 201413213040 its reverse (40312314102), we get a palindrome (241725527142).

The spelling of 201413213040 in words is "two hundred one billion, four hundred thirteen million, two hundred thirteen thousand, forty".