Search a number
-
+
215241314304 = 212347372689
BaseRepresentation
bin1100100001110101100…
…0011101000000000000
3202120120112111200011210
43020131120131000000
512011303234024204
6242514104210120
721356610661452
oct3103530350000
9676515450153
10215241314304
1183313124225
123586ba69940
13173b2b59353
14a5bc3a02d2
1558eb554389
hex321d61d000

215241314304 has 104 divisors (see below), whose sum is σ = 586119127680. Its totient is φ = 70220382208.

The previous prime is 215241314263. The next prime is 215241314317. The reversal of 215241314304 is 403413142512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391192 + ... + 763880.

Almost surely, 2215241314304 is an apocalyptic number.

215241314304 is a gapful number since it is divisible by the number (24) 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 215241314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293059563840).

215241314304 is an abundant number, since it is smaller than the sum of its proper divisors (370877813376).

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

215241314304 is an equidigital number, since it uses as much as digits as its factorization.

215241314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372763 (or 372741 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 215241314304 its reverse (403413142512), we get a palindrome (618654456816).

The spelling of 215241314304 in words is "two hundred fifteen billion, two hundred forty-one million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 512 564 752 768 1024 1128 1504 1536 2048 2256 3008 3072 4096 4512 6016 6144 9024 12032 12288 18048 24064 36096 48128 72192 96256 144384 192512 288768 372689 577536 745378 1118067 1490756 2236134 2981512 4472268 5963024 8944536 11926048 17516383 17889072 23852096 35032766 35778144 47704192 52549149 70065532 71556288 95408384 105098298 140131064 143112576 190816768 210196596 280262128 286225152 381633536 420393192 560524256 572450304 763267072 840786384 1121048512 1144900608 1526534144 1681572768 2242097024 2289801216 3363145536 4484194048 4579602432 6726291072 8968388096 13452582144 17936776192 26905164288 35873552384 53810328576 71747104768 107620657152 215241314304