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144358761484 = 227178917319697
BaseRepresentation
bin1000011001110001110…
…0111110010000001100
3111210121121110220102201
42012130130332100030
54331121320331414
6150152325131244
713300226140510
oct2063434762014
9453547426381
10144358761484
1156249837163
1223b89559b24
13107c79167c2
146db6490140
153b4d711574
hex219c73e40c

144358761484 has 96 divisors (see below), whose sum is σ = 310938445440. Its totient is φ = 57238781952.

The previous prime is 144358761479. The next prime is 144358761497. The reversal of 144358761484 is 484167853441.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7319124 + ... + 7338820.

It is an arithmetic number, because the mean of its divisors is an integer number (3238942140).

Almost surely, 2144358761484 is an apocalyptic number.

144358761484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144358761484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155469222720).

144358761484 is an abundant number, since it is smaller than the sum of its proper divisors (166579683956).

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

144358761484 is a wasteful number, since it uses less digits than its factorization.

144358761484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19987 (or 19985 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 55.

The spelling of 144358761484 in words is "one hundred forty-four billion, three hundred fifty-eight million, seven hundred sixty-one thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 17 28 34 68 89 119 173 178 238 346 356 476 623 692 1211 1246 1513 2422 2492 2941 3026 4844 5882 6052 10591 11764 15397 19697 20587 21182 30794 39394 41174 42364 61588 78788 82348 107779 137879 215558 261749 275758 334849 431116 523498 551516 669698 1046996 1339396 1753033 1832243 2343943 3407581 3506066 3664486 4687886 6815162 7012132 7328972 9375772 12271231 13630324 23853067 24542462 29801561 47706134 49084924 57928877 59603122 95412268 115857754 119206244 208610927 231715508 303274709 405502139 417221854 606549418 811004278 834443708 1213098836 1622008556 2122922963 4245845926 5155670053 8491691852 10311340106 20622680212 36089690371 72179380742 144358761484