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144044102412433 = 1727138980922307
BaseRepresentation
bin100000110000000111100001…
…100011100110100010010001
3200220000111000011101220221001
4200300013201203212202101
5122340004310204144213
61230204540324502001
742224562065440126
oct4060074143464221
9626014004356831
10144044102412433
1141995840654053
12141a486654a901
13624b3ba489962
14277dab39aa74d
15119bdb71d31dd
hex8301e18e6891

144044102412433 has 48 divisors (see below), whose sum is σ = 155769036508800. Its totient is φ = 133147105064960.

The previous prime is 144044102412401. The next prime is 144044102412481. The reversal of 144044102412433 is 334214201440441.

It is not a de Polignac number, because 144044102412433 - 25 = 144044102412401 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144044102412392 and 144044102412401.

It is not an unprimeable number, because it can be changed into a prime (144044102412533) 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, 6457338666 + ... + 6457360972.

It is an arithmetic number, because the mean of its divisors is an integer number (3245188260600).

Almost surely, 2144044102412433 is an apocalyptic number.

It is an amenable number.

144044102412433 is a deficient number, since it is larger than the sum of its proper divisors (11724934096367).

144044102412433 is a wasteful number, since it uses less digits than its factorization.

144044102412433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23610 (or 23593 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 144044102412433 its reverse (334214201440441), we get a palindrome (478258303852874).

The spelling of 144044102412433 in words is "one hundred forty-four trillion, forty-four billion, one hundred two million, four hundred twelve thousand, four hundred thirty-three".

Divisors: 1 17 71 289 389 809 1207 6613 13753 20519 22307 27619 57439 112421 233801 314701 379219 469523 976463 1583797 5349917 6446723 7981891 8677423 16599871 18046363 22343771 26924549 90948589 147516191 306788171 379844107 457717333 616097033 1281291773 2507775247 5215398907 6457349819 7020035207 10473649561 21781960141 119340598519 178052042537 370293322397 498422499697 2028790174823 8473182494849 144044102412433