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144551020114144 = 257292188150583
BaseRepresentation
bin100000110111011111101000…
…001101001011000011100000
3200221210221110010111021221001
4200313133220031023003200
5122421310442122123034
61231233453310241344
742306316014011200
oct4067375015130340
9627727403437831
10144551020114144
114207081a4651a6
1214266b581b6254
136287144857147
14279a441846400
1511aa1852c5a14
hex8377e834b0e0

144551020114144 has 36 divisors (see below), whose sum is σ = 331047648747144. Its totient is φ = 61950437191104.

The previous prime is 144551020114141. The next prime is 144551020114157. The reversal of 144551020114144 is 441411020155441.

It is a happy number.

It is a super-5 number, since 5×1445510201141445 (a number of 72 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144551020114141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46094073724 + ... + 46094076859.

It is an arithmetic number, because the mean of its divisors is an integer number (9195768020754).

Almost surely, 2144551020114144 is an apocalyptic number.

144551020114144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144551020114144 is an abundant number, since it is smaller than the sum of its proper divisors (186496628633000).

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

144551020114144 is an equidigital number, since it uses as much as digits as its factorization.

144551020114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92188150607 (or 92188150592 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 37.

Adding to 144551020114144 its reverse (441411020155441), we get a palindrome (585962040269585).

The spelling of 144551020114144 in words is "one hundred forty-four trillion, five hundred fifty-one billion, twenty million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 92188150583 184376301166 368752602332 645317054081 737505204664 1290634108162 1475010409328 2581268216324 2950020818656 4517219378567 5162536432648 9034438757134 10325072865296 18068877514268 20650145730592 36137755028536 72275510057072 144551020114144