Search a number
-
+
1244397045984 = 253193569118037
BaseRepresentation
bin10010000110111011110…
…110000000100011100000
311101222000011120201121220
4102012323312000203200
5130342011120432414
62351400151215040
7155622214236621
oct22067366004340
94358004521556
101244397045984
1143a822766934
1218120a077480
1390466607811
144432ca81a48
1522582725ca9
hex121bbd808e0

1244397045984 has 96 divisors (see below), whose sum is σ = 3289265794080. Its totient is φ = 411921088512.

The previous prime is 1244397045959. The next prime is 1244397046001. The reversal of 1244397045984 is 4895407934421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 10483414 + ... + 10601450.

It is an arithmetic number, because the mean of its divisors is an integer number (34263185355).

Almost surely, 21244397045984 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 1244397045984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644632897040).

1244397045984 is an abundant number, since it is smaller than the sum of its proper divisors (2044868748096).

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

1244397045984 is a wasteful number, since it uses less digits than its factorization.

1244397045984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118812 (or 118804 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 1244397045984 in words is "one trillion, two hundred forty-four billion, three hundred ninety-seven million, forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 193 386 569 579 772 1138 1158 1544 1707 2276 2316 3088 3414 4552 4632 6176 6828 9104 9264 13656 18208 18528 27312 54624 109817 118037 219634 236074 329451 354111 439268 472148 658902 708222 878536 944296 1317804 1416444 1757072 1888592 2635608 2832888 3514144 3777184 5271216 5665776 10542432 11331552 22781141 45562282 67163053 68343423 91124564 134326106 136686846 182249128 201489159 268652212 273373692 364498256 402978318 537304424 546747384 728996512 805956636 1074608848 1093494768 1611913272 2149217696 2186989536 3223826544 6447653088 12962469229 25924938458 38887407687 51849876916 77774815374 103699753832 155549630748 207399507664 311099261496 414799015328 622198522992 1244397045984