Search a number
-
+
144100402004403 = 33131672639347293
BaseRepresentation
bin100000110000111011111101…
…010001100000000110110011
3200220012212022210000112011000
4200300323331101200012303
5122341420110403120103
61230250451044253043
742231624203201205
oct4060737521400663
9626185283015130
10144100402004403
1141a07701272859
12141b37590a1183
1362537c03ac5a0
1427826d4c14775
15119d5aeb3daa3
hex830efd4601b3

144100402004403 has 64 divisors (see below), whose sum is σ = 232159862753280. Its totient is φ = 87811003511424.

The previous prime is 144100402004353. The next prime is 144100402004437. The reversal of 144100402004403 is 304400204001441.

144100402004403 is a `hidden beast` number, since 1 + 4 + 4 + 10 + 0 + 4 + 0 + 200 + 440 + 3 = 666.

It is not a de Polignac number, because 144100402004403 - 218 = 144100401742259 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144100402004443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10742625 + ... + 20089917.

It is an arithmetic number, because the mean of its divisors is an integer number (3627497855520).

Almost surely, 2144100402004403 is an apocalyptic number.

144100402004403 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

144100402004403 is a deficient number, since it is larger than the sum of its proper divisors (88059460748877).

144100402004403 is a wasteful number, since it uses less digits than its factorization.

144100402004403 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9347745 (or 9347739 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 144100402004403 its reverse (304400204001441), we get a palindrome (448500606005844).

The spelling of 144100402004403 in words is "one hundred forty-four trillion, one hundred billion, four hundred two million, four thousand, four hundred three".

Divisors: 1 3 9 13 27 39 117 167 263 351 501 789 1503 2171 2367 3419 4509 6513 7101 10257 19539 30771 43921 58617 92313 131763 395289 570973 1185867 1712919 5138757 9347293 15416271 28041879 84125637 121514809 252376911 364544427 1093633281 1560997931 2458338059 3280899843 4682993793 7375014177 14048981379 20292973103 22125042531 31958394767 42146944137 60878919309 66375127593 95875184301 182636757927 287625552903 410542455853 547910273781 862876658709 1231627367559 3694882102677 5337051926089 11084646308031 16011155778267 48033467334801 144100402004403