Search a number
-
+
144441223012401 = 3737887217996181
BaseRepresentation
bin100000110101111001010111…
…110010011110000000110001
3200221102110001011212121122020
4200311321113302132000301
5122413011111042344101
61231111214245302053
742265351105025640
oct4065712762360061
9627373034777566
10144441223012401
11420291a68a75a7
1214249815404929
1362799973ba7a3
142794dc759b357
1511a73aae0b136
hex835e57c9e031

144441223012401 has 64 divisors (see below), whose sum is σ = 226410642862080. Its totient is φ = 80178904270080.

The previous prime is 144441223012391. The next prime is 144441223012409. The reversal of 144441223012401 is 104210322144441.

It is not a de Polignac number, because 144441223012401 - 214 = 144441222996017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144441223012409) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1501716531 + ... + 1501812711.

It is an arithmetic number, because the mean of its divisors is an integer number (3537666294720).

Almost surely, 2144441223012401 is an apocalyptic number.

It is an amenable number.

144441223012401 is a deficient number, since it is larger than the sum of its proper divisors (81969419849679).

144441223012401 is a wasteful number, since it uses less digits than its factorization.

144441223012401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99294.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 144441223012401 its reverse (104210322144441), we get a palindrome (248651545156842).

The spelling of 144441223012401 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred twenty-three million, twelve thousand, four hundred one".

Divisors: 1 3 7 21 37 111 259 777 887 2179 2661 6209 6537 15253 18627 32819 45759 80623 96181 98457 229733 241869 288543 564361 673267 689199 1693083 1932773 2019801 3558697 5798319 10676091 13529411 24910879 40588233 71512601 74732637 85312547 209578399 214537803 255937641 500588207 597187829 628735197 1467048793 1501764621 1791563487 3156564239 4401146379 7754400763 9469692717 22095949673 23263202289 54280805341 66287849019 162842416023 185896039913 557688119739 1301272279391 3903816838173 6878153476781 20634460430343 48147074337467 144441223012401