Search a number
-
+
1301430144 = 27372811723
BaseRepresentation
bin100110110010010…
…0011111110000000
310100200212111112110
41031210203332000
510131131231034
6333050055320
744151654660
oct11544437600
93320774473
101301430144
11608694803
12303a1a540
13179818c11
14c4bb41a0
15793c3de9
hex4d923f80

1301430144 has 128 divisors (see below), whose sum is σ = 3967130880. Its totient is φ = 370298880.

The previous prime is 1301430133. The next prime is 1301430149. The reversal of 1301430144 is 4410341031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1301430144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301430149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754467 + ... + 756189.

It is an arithmetic number, because the mean of its divisors is an integer number (30993210).

Almost surely, 21301430144 is an apocalyptic number.

1301430144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983565440).

1301430144 is an abundant number, since it is smaller than the sum of its proper divisors (2665700736).

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

1301430144 is a wasteful number, since it uses less digits than its factorization.

1301430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1301430144 is about 36075.3398320792. The cubic root of 1301430144 is about 1091.7929540775.

Adding to 1301430144 its reverse (4410341031), we get a palindrome (5711771175).

The spelling of 1301430144 in words is "one billion, three hundred one million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 281 336 384 448 562 672 843 896 1124 1344 1686 1723 1967 2248 2688 3372 3446 3934 4496 5169 5901 6744 6892 7868 8992 10338 11802 12061 13488 13784 15736 17984 20676 23604 24122 26976 27568 31472 35968 36183 41352 47208 48244 53952 55136 62944 72366 82704 94416 96488 107904 110272 125888 144732 165408 188832 192976 220544 251776 289464 330816 377664 385952 484163 578928 661632 755328 771904 968326 1157856 1452489 1543808 1936652 2315712 2904978 3389141 3873304 4631424 5809956 6778282 7746608 10167423 11619912 13556564 15493216 20334846 23239824 27113128 30986432 40669692 46479648 54226256 61972864 81339384 92959296 108452512 162678768 185918592 216905024 325357536 433810048 650715072 1301430144