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144441202042044 = 223243607934316453
BaseRepresentation
bin100000110101111001010110…
…100010011110010010111100
3200221102102222201102012201100
4200311321112202132102330
5122413011040210321134
61231111212220013100
742265350431545605
oct4065712642362274
9627372881365640
10144441202042044
1142029195a84226
121424980a391190
136279992c577ab
142794dc489cdac
1511a73a9167999
hex835e5689e4bc

144441202042044 has 144 divisors (see below), whose sum is σ = 374284610732032. Its totient is φ = 46942014623616.

The previous prime is 144441202042009. The next prime is 144441202042139. The reversal of 144441202042044 is 440240202144441.

144441202042044 is a `hidden beast` number, since 1 + 4 + 4 + 441 + 2 + 0 + 2 + 0 + 4 + 204 + 4 = 666.

144441202042044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8779010922 + ... + 8779027374.

Almost surely, 2144441202042044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144441202042044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187142305366016).

144441202042044 is an abundant number, since it is smaller than the sum of its proper divisors (229843408689988).

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

144441202042044 is a wasteful number, since it uses less digits than its factorization.

144441202042044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26456 (or 26451 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 144441202042044 its reverse (440240202144441), we get a palindrome (584681404186485).

The spelling of 144441202042044 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred two million, forty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 607 774 1214 1548 1821 2428 3642 5463 7284 9343 10926 16453 18686 21852 26101 28029 32906 37372 49359 52202 56058 65812 78303 84087 98718 104404 112116 148077 156606 168174 197436 234909 296154 313212 336348 401749 469818 592308 707479 803498 939636 1205247 1414958 1606996 2122437 2410494 2829916 3615741 4244874 4820988 5671201 6367311 7231482 8489748 9986971 11342402 12734622 14462964 17013603 19973942 22684804 25469244 29960913 34027206 39947884 51040809 59921826 68054412 89882739 102081618 119843652 153720379 179765478 204163236 243861643 307440758 359530956 429439753 461161137 487723286 614881516 731584929 858879506 922322274 975446572 1288319259 1383483411 1463169858 1717759012 1844644548 2194754787 2576638518 2766966822 2926339716 3864957777 4389509574 5153277036 5533933644 6609976297 7729915554 8779019148 13219952594 15459831108 19829928891 26439905188 39659857782 59489786673 79319715564 93308270053 118979573346 186616540106 237959146692 279924810159 373233080212 559849620318 839774430477 1119699240636 1679548860954 3359097721908 4012255612279 8024511224558 12036766836837 16049022449116 24073533673674 36110300510511 48147067347348 72220601021022 144441202042044