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1491426144 = 253213467853
BaseRepresentation
bin101100011100101…
…0101101101100000
310211221101022001100
41120321111231200
511023301114034
6403554234400
751646625115
oct13071255540
93757338040
101491426144
116a596459a
12357585a00
131a9cac8a0
1410211090c
158ae04099
hex58e55b60

1491426144 has 144 divisors (see below), whose sum is σ = 4582639152. Its totient is φ = 457380864.

The previous prime is 1491426113. The next prime is 1491426161. The reversal of 1491426144 is 4416241941.

It is a happy number.

1491426144 is a `hidden beast` number, since 1 + 4 + 91 + 426 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1491426099 and 1491426108.

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, 1748022 + ... + 1748874.

It is an arithmetic number, because the mean of its divisors is an integer number (31823883).

Almost surely, 21491426144 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 1491426144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291319576).

1491426144 is an abundant number, since it is smaller than the sum of its proper divisors (3091213008).

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

1491426144 is a wasteful number, since it uses less digits than its factorization.

1491426144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1338 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1491426144 is about 38618.9868329038. The cubic root of 1491426144 is about 1142.5290482234.

The spelling of 1491426144 in words is "one billion, four hundred ninety-one million, four hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 467 468 624 853 934 936 1248 1401 1706 1868 1872 2559 2802 3412 3736 3744 4203 5118 5604 6071 6824 7472 7677 8406 10236 11089 11208 12142 13648 14944 15354 16812 18213 20472 22178 22416 24284 27296 30708 33267 33624 36426 40944 44356 44832 48568 54639 61416 66534 67248 72852 81888 88712 97136 99801 109278 122832 133068 134496 145704 177424 194272 199602 218556 245664 266136 291408 354848 398351 399204 437112 532272 582816 796702 798408 874224 1064544 1195053 1593404 1596816 1748448 2390106 3186808 3193632 3585159 4780212 5178563 6373616 7170318 9560424 10357126 12747232 14340636 15535689 19120848 20714252 28681272 31071378 38241696 41428504 46607067 57362544 62142756 82857008 93214134 114725088 124285512 165714016 186428268 248571024 372856536 497142048 745713072 1491426144