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1320243144 = 2331153157601
BaseRepresentation
bin100111010110001…
…0100111111001000
310102000021022010020
41032230110333020
510200440240034
6335001220440
744500611243
oct11654247710
93360238106
101320243144
11618274240
1230a191720
131806a4c7c
14c74b025a
157ad8d249
hex4eb14fc8

1320243144 has 128 divisors (see below), whose sum is σ = 3698110080. Its totient is φ = 389376000.

The previous prime is 1320243143. The next prime is 1320243149. The reversal of 1320243144 is 4413420231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1320243143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2196444 + ... + 2197044.

It is an arithmetic number, because the mean of its divisors is an integer number (28891485).

Almost surely, 21320243144 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 1320243144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849055040).

1320243144 is an abundant number, since it is smaller than the sum of its proper divisors (2377866936).

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

1320243144 is a wasteful number, since it uses less digits than its factorization.

1320243144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1320243144 is about 36335.1502542648. The cubic root of 1320243144 is about 1097.0286597759.

Adding to 1320243144 its reverse (4413420231), we get a palindrome (5733663375).

The spelling of 1320243144 in words is "one billion, three hundred twenty million, two hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 157 159 212 264 314 318 424 471 583 601 628 636 942 1166 1202 1256 1272 1727 1749 1803 1884 2332 2404 3454 3498 3606 3768 4664 4808 5181 6611 6908 6996 7212 8321 10362 13222 13816 13992 14424 16642 19833 20724 24963 26444 31853 33284 39666 41448 49926 52888 63706 66568 79332 91531 94357 95559 99852 127412 158664 183062 188714 191118 199704 254824 274593 283071 350383 366124 377428 382236 549186 566142 700766 732248 754856 764472 1037927 1051149 1098372 1132284 1401532 2075854 2102298 2196744 2264568 2803064 3113781 4151708 4204596 5000921 6227562 8303416 8409192 10001842 12455124 15002763 20003684 24910248 30005526 40007368 55010131 60011052 110020262 120022104 165030393 220040524 330060786 440081048 660121572 1320243144