Search a number
-
+
144442220010304 = 2679122112339569
BaseRepresentation
bin100000110101111010010011…
…001101101101101101000000
3200221102112121122220100122111
4200311322103031231231000
5122413020131310312204
61231111501222345104
742265414602254236
oct4065722315555500
9627375548810574
10144442220010304
114202966865a907
1214249a5328b194
136279ac5b16388
14279507db66956
1511a74186e7d04
hex835e9336db40

144442220010304 has 56 divisors (see below), whose sum is σ = 290279621014400. Its totient is φ = 71301048698880.

The previous prime is 144442220010293. The next prime is 144442220010317. The reversal of 144442220010304 is 403010022244441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60569032 + ... + 62908600.

Almost surely, 2144442220010304 is an apocalyptic number.

It is an amenable number.

144442220010304 is an abundant number, since it is smaller than the sum of its proper divisors (145837401004096).

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

144442220010304 is a wasteful number, since it uses less digits than its factorization.

144442220010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351871 (or 2351861 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 144442220010304 its reverse (403010022244441), we get a palindrome (547452242254745).

The spelling of 144442220010304 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred twenty million, ten thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 79 158 316 632 1264 2528 5056 12211 24422 48844 97688 195376 390752 781504 964669 1929338 2339569 3858676 4679138 7717352 9358276 15434704 18716552 30869408 37433104 61738816 74866208 149732416 184825951 369651902 739303804 1478607608 2957215216 5914430432 11828860864 28568477059 57136954118 114273908236 228547816472 457095632944 914191265888 1828382531776 2256909687661 4513819375322 9027638750644 18055277501288 36110555002576 72221110005152 144442220010304