Search a number
-
+
1243400220144 = 243273151783337
BaseRepresentation
bin10010000110000000011…
…011011010110111110000
311101212102200212201122100
4102012000123122313300
5130332440424021034
62351113221540400
7155555421326055
oct22060033326760
94355380781570
101243400220144
1143a361010925
12180b90274700
1390337c3c344
144427651d02c
1522524e70099
hex121806dadf0

1243400220144 has 120 divisors (see below), whose sum is σ = 3550827287072. Its totient is φ = 406081382400.

The previous prime is 1243400220031. The next prime is 1243400220193. The reversal of 1243400220144 is 4410220043421.

1243400220144 is a `hidden beast` number, since 1 + 2 + 434 + 0 + 0 + 220 + 1 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1195644 + ... + 1978980.

Almost surely, 21243400220144 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 1243400220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775413643536).

1243400220144 is an abundant number, since it is smaller than the sum of its proper divisors (2307427066928).

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

1243400220144 is a wasteful number, since it uses less digits than its factorization.

1243400220144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783575 (or 783566 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1243400220144 its reverse (4410220043421), we get a palindrome (5653620263565).

The spelling of 1243400220144 in words is "one trillion, two hundred forty-three billion, four hundred million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 151 219 292 302 438 453 584 604 657 876 906 1168 1208 1314 1359 1752 1812 2416 2628 2718 3504 3624 5256 5436 7248 10512 10872 11023 21744 22046 33069 44092 66138 88184 99207 132276 176368 198414 264552 396828 529104 783337 793656 1566674 1587312 2350011 3133348 4700022 6266696 7050033 9400044 12533392 14100066 18800088 28200132 37600176 56400264 57183601 112800528 114367202 118283887 171550803 228734404 236567774 343101606 354851661 457468808 473135548 514652409 686203212 709703322 914937616 946271096 1029304818 1064554983 1372406424 1419406644 1892542192 2058609636 2129109966 2744812848 2838813288 4117219272 4258219932 5677626576 8234438544 8516439864 8634723751 17032879728 17269447502 25904171253 34538895004 51808342506 69077790008 77712513759 103616685012 138155580016 155425027518 207233370024 310850055036 414466740048 621700110072 1243400220144