Search a number
-
+
403320014342240 = 25528325321351773
BaseRepresentation
bin101101110110100010100001…
…0001011111000100001100000
31221220001000110020222100102212
41123231011002023320201200
5410330443342132422430
63545442353504301252
7150644623640132102
oct13355050213704140
91856030406870385
10403320014342240
1110756806a624186
123929a154911828
1314407bb65362c8
147184b1581d572
15319642c181b95
hex16ed1422f8860

403320014342240 has 96 divisors (see below), whose sum is σ = 956250954068256. Its totient is φ = 160751136337920.

The previous prime is 403320014342209. The next prime is 403320014342243. The reversal of 403320014342240 is 42243410023304.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 403320014342197 and 403320014342206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403320014342243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1146358994 + ... + 1146710766.

It is an arithmetic number, because the mean of its divisors is an integer number (9960947438211).

Almost surely, 2403320014342240 is an apocalyptic number.

403320014342240 is a gapful number since it is divisible by the number (40) 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 403320014342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478125477034128).

403320014342240 is an abundant number, since it is smaller than the sum of its proper divisors (552930939726016).

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

403320014342240 is a wasteful number, since it uses less digits than its factorization.

403320014342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377392 (or 377384 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 403320014342240 its reverse (42243410023304), we get a palindrome (445563424365544).

The spelling of 403320014342240 in words is "four hundred three trillion, three hundred twenty billion, fourteen million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 283 566 1132 1415 2264 2830 4528 5660 9056 11320 22640 25321 45280 50642 101284 126605 202568 253210 351773 405136 506420 703546 810272 1012840 1407092 1758865 2025680 2814184 3517730 4051360 5628368 7035460 7165843 11256736 14070920 14331686 28141840 28663372 35829215 56283680 57326744 71658430 99551759 114653488 143316860 199103518 229306976 286633720 398207036 497758795 573267440 796414072 995517590 1146534880 1592828144 1991035180 3185656288 3982070360 7964140720 8907244133 15928281440 17814488266 35628976532 44536220665 71257953064 89072441330 142515906128 178144882660 285031812256 356289765320 712579530640 1425159061280 2520750089639 5041500179278 10083000358556 12603750448195 20166000717112 25207500896390 40332001434224 50415001792780 80664002868448 100830003585560 201660007171120 403320014342240