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144441033024 = 2637310305439
BaseRepresentation
bin1000011010000101011…
…0110100000101000000
3111210211100021201202210
42012201112310011000
54331303401024044
6150204424342120
713302245344311
oct2064126640500
9453740251683
10144441033024
1156291219a72
1223bb1014940
131080b990aa2
146dc3388608
153b55a631b9
hex21a15b4140

144441033024 has 56 divisors (see below), whose sum is σ = 387402100480. Its totient is φ = 47487458304.

The previous prime is 144441033019. The next prime is 144441033029. The reversal of 144441033024 is 420330144441.

It is an interprime number because it is at equal distance from previous prime (144441033019) and next prime (144441033029).

It is a junction number, because it is equal to n+sod(n) for n = 144441032982 and 144441033000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144441033029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5138704 + ... + 5166735.

Almost surely, 2144441033024 is an apocalyptic number.

It is an amenable number.

144441033024 is an abundant number, since it is smaller than the sum of its proper divisors (242961067456).

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

144441033024 is a wasteful number, since it uses less digits than its factorization.

144441033024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10305527 (or 10305517 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 144441033024 its reverse (420330144441), we get a palindrome (564771177465).

The spelling of 144441033024 in words is "one hundred forty-four billion, four hundred forty-one million, thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1752 2336 3504 4672 7008 14016 10305439 20610878 30916317 41221756 61832634 82443512 123665268 164887024 247330536 329774048 494661072 659548096 752297047 989322144 1504594094 1978644288 2256891141 3009188188 4513782282 6018376376 9027564564 12036752752 18055129128 24073505504 36110258256 48147011008 72220516512 144441033024