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144100532844 = 2235178720681
BaseRepresentation
bin1000011000110100001…
…1111010001001101100
3111202221121120112100000
42012031003322021230
54330104214022334
6150110542304300
713260642214362
oct2061503721154
9452847515300
10144100532844
1156126aa3164
1223b16b88090
13107862828a8
146d90071632
153b35c04299
hex218d0fa26c

144100532844 has 72 divisors (see below), whose sum is σ = 399965359248. Its totient is φ = 45208005120.

The previous prime is 144100532843. The next prime is 144100532893. The reversal of 144100532844 is 448235001441.

144100532844 is a `hidden beast` number, since 1 + 4 + 41 + 0 + 0 + 532 + 84 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144100532799 and 144100532808.

It is not an unprimeable number, because it can be changed into a prime (144100532843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4343817 + ... + 4376864.

It is an arithmetic number, because the mean of its divisors is an integer number (5555074434).

Almost surely, 2144100532844 is an apocalyptic number.

It is an amenable number.

144100532844 is an abundant number, since it is smaller than the sum of its proper divisors (255864826404).

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

144100532844 is a wasteful number, since it uses less digits than its factorization.

144100532844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8720717 (or 8720703 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 144100532844 in words is "one hundred forty-four billion, one hundred million, five hundred thirty-two thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1836 2754 4131 5508 8262 16524 8720681 17441362 26162043 34882724 52324086 78486129 104648172 148251577 156972258 235458387 296503154 313944516 444754731 470916774 593006308 706375161 889509462 941833548 1334264193 1412750322 1779018924 2119125483 2668528386 2825500644 4002792579 4238250966 5337056772 8005585158 8476501932 12008377737 16011170316 24016755474 36025133211 48033510948 72050266422 144100532844