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1361482944 = 26317449929
BaseRepresentation
bin101000100100110…
…1001010011000000
310111212212111111020
41101021221103000
510242014423234
6343033145440
745511262013
oct12111512300
93455774436
101361482944
11639581318
1231bb5b280
131890b3c13
14ccb6737a
157e7d7549
hex512694c0

1361482944 has 112 divisors (see below), whose sum is σ = 3826764000. Its totient is φ = 425721856.

The previous prime is 1361482939. The next prime is 1361482963. The reversal of 1361482944 is 4492841631.

It is a junction number, because it is equal to n+sod(n) for n = 1361482896 and 1361482905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1465072 + ... + 1466000.

Almost surely, 21361482944 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 1361482944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913382000).

1361482944 is an abundant number, since it is smaller than the sum of its proper divisors (2465281056).

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

1361482944 is a wasteful number, since it uses less digits than its factorization.

1361482944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1400 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 1361482944 is about 36898.2783338193. The cubic root of 1361482944 is about 1108.3342012971.

The spelling of 1361482944 in words is "one billion, three hundred sixty-one million, four hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 449 544 816 898 929 1088 1347 1632 1796 1858 2694 2787 3264 3592 3716 5388 5574 7184 7432 7633 10776 11148 14368 14864 15266 15793 21552 22296 22899 28736 29728 30532 31586 43104 44592 45798 47379 59456 61064 63172 86208 89184 91596 94758 122128 126344 178368 183192 189516 244256 252688 366384 379032 417121 488512 505376 732768 758064 834242 1010752 1251363 1465536 1516128 1668484 2502726 3032256 3336968 5005452 6673936 7091057 10010904 13347872 14182114 20021808 21273171 26695744 28364228 40043616 42546342 56728456 80087232 85092684 113456912 170185368 226913824 340370736 453827648 680741472 1361482944