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144212513445 = 325711133201521
BaseRepresentation
bin1000011001001110111…
…1000101001010100101
3111210020102021201211200
42012103233011022211
54330321400412240
6150130022353113
713263502065420
oct2062357051245
9453212251750
10144212513445
1156184227910
1223b4858b799
13107a352c5c0
146da0ca09b7
153b40973930
hex2193bc52a5

144212513445 has 96 divisors (see below), whose sum is σ = 335621954304. Its totient is φ = 55322265600.

The previous prime is 144212513413. The next prime is 144212513447. The reversal of 144212513445 is 544315212441.

144212513445 is a `hidden beast` number, since 1 + 44 + 21 + 251 + 344 + 5 = 666.

It is not a de Polignac number, because 144212513445 - 25 = 144212513413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144212513447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1555716 + ... + 1645805.

It is an arithmetic number, because the mean of its divisors is an integer number (3496062024).

Almost surely, 2144212513445 is an apocalyptic number.

144212513445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144212513445 is an abundant number, since it is smaller than the sum of its proper divisors (191409440859).

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

144212513445 is a wasteful number, since it uses less digits than its factorization.

144212513445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201563 (or 3201560 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 144212513445 its reverse (544315212441), we get a palindrome (688527725886).

The spelling of 144212513445 in words is "one hundred forty-four billion, two hundred twelve million, five hundred thirteen thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 11 13 15 21 33 35 39 45 55 63 65 77 91 99 105 117 143 165 195 231 273 315 385 429 455 495 585 693 715 819 1001 1155 1287 1365 2145 3003 3465 4095 5005 6435 9009 15015 45045 3201521 9604563 16007605 22410647 28813689 35216731 41619773 48022815 67231941 105650193 112053235 124859319 144068445 176083655 201695823 208098865 246517117 291338411 316950579 336159705 374577957 457817503 528250965 624296595 739551351 874015233 1008479115 1232585585 1373452509 1456692055 1584752895 1872889785 2218654053 2289087515 2622045699 3204722521 3697756755 4120357527 4370076165 6867262545 9614167563 11093270265 13110228495 16023612605 20601787635 28842502689 48070837815 144212513445