Search a number
-
+
144311241224332 = 2271323911329146423
BaseRepresentation
bin100000110100000000010100…
…010001010011000010001100
3200220222000112112012122002101
4200310000110101103002030
5122403343410223134312
61230531400300404444
742253100042042410
oct4064002421230214
9626860475178071
10144311241224332
1141a89065537356
121422859a846724
13626a651221560
14278c9b66b2d40
1511a3cee993a57
hex83401445308c

144311241224332 has 96 divisors (see below), whose sum is σ = 312154414387200. Its totient is φ = 56845883953152.

The previous prime is 144311241224323. The next prime is 144311241224351. The reversal of 144311241224332 is 233422142113441.

It is a junction number, because it is equal to n+sod(n) for n = 144311241224291 and 144311241224300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 985504473 + ... + 985650895.

It is an arithmetic number, because the mean of its divisors is an integer number (3251608483200).

Almost surely, 2144311241224332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144311241224332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156077207193600).

144311241224332 is an abundant number, since it is smaller than the sum of its proper divisors (167843173162868).

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

144311241224332 is a wasteful number, since it uses less digits than its factorization.

144311241224332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158015 (or 158013 counting only the distinct ones).

The product of its digits is 110592, while the sum is 37.

Adding to 144311241224332 its reverse (233422142113441), we get a palindrome (377733383337773).

The spelling of 144311241224332 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred forty-one million, two hundred twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 239 364 478 956 1673 3107 3346 6214 6692 11329 12428 21749 22658 43498 45316 79303 86996 146423 147277 158606 292846 294554 317212 585692 589108 1024961 1030939 1903499 2049922 2061878 2707631 3806998 4099844 4123756 5415262 7613996 10830524 13324493 18953417 26648986 34995097 35199203 37906834 53297972 69990194 70398406 75813668 139980388 140796812 244965679 246394421 454936261 489931358 492788842 909872522 979862716 985577684 1658826167 1819745044 3184553827 3317652334 6369107654 6635304668 11611783169 12738215308 21564740171 23223566338 43129480342 46447132676 86258960684 150953181197 301906362394 396459453913 603812724788 792918907826 1585837815652 2775216177391 5153972900869 5550432354782 10307945801738 11100864709564 20615891603476 36077810306083 72155620612166 144311241224332