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1142713964484 = 223219293772
BaseRepresentation
bin10000101000001111000…
…011110101011111000100
311001020112200220222121100
4100220033003311133010
5122210234233330414
62232542222020100
7145362342302151
oct20501703653704
94036480828540
101142713964484
11400693273794
12165570717630
13839b01c3481
143d4442a1228
151ead087a609
hex10a0f0f57c4

1142713964484 has 81 divisors (see below), whose sum is σ = 3048881305197. Its totient is φ = 360818558208.

The previous prime is 1142713964453. The next prime is 1142713964489. The reversal of 1142713964484 is 4844693172411.

It is a happy number.

The square root of 1142713964484 is 1068978.

It is a perfect power (a square), and thus also a powerful number.

1142713964484 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 71 + 3 + 96 + 4 + 484 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125294760900 + 1017419203584 = 353970^2 + 1008672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1142713964484.

It is not an unprimeable number, because it can be changed into a prime (1142713964489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 121858804 + ... + 121868180.

Almost surely, 21142713964484 is an apocalyptic number.

1142713964484 is the 1068978-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142713964484

1142713964484 is an abundant number, since it is smaller than the sum of its proper divisors (1906167340713).

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

1142713964484 is an frugal number, since it uses more digits than its factorization.

1142713964484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18802 (or 9401 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 1142713964484 in words is "one trillion, one hundred forty-two billion, seven hundred thirteen million, nine hundred sixty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 9377 12996 18754 28131 37508 56262 84393 112524 168786 178163 337572 356326 534489 712652 1068978 1603467 2137956 3206934 3385097 6413868 6770194 10155291 13540388 20310582 30465873 40621164 60931746 87928129 121863492 175856258 263784387 351712516 527568774 791353161 1055137548 1582706322 1670634451 3165412644 3341268902 5011903353 6682537804 10023806706 15035710059 20047613412 30071420118 31742054569 60142840236 63484109138 95226163707 126968218276 190452327414 285678491121 380904654828 571356982242 1142713964484