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2145341321312 = 25731853362191
BaseRepresentation
bin11111001110000000010…
…011101011000001100000
321121002111112011222002112
4133032000103223001200
5240122124334240222
64321320045534452
7310665362231510
oct37160023530140
97532445158075
102145341321312
1175791a279762
122a7946574428
131273c68bcb07
1475b9962b840
153ac12ac7be2
hex1f3804eb060

2145341321312 has 96 divisors (see below), whose sum is σ = 4988583419904. Its totient is φ = 888727334400.

The previous prime is 2145341321309. The next prime is 2145341321341. The reversal of 2145341321312 is 2131231435412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5742137 + ... + 6104327.

It is an arithmetic number, because the mean of its divisors is an integer number (51964410624).

Almost surely, 22145341321312 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 2145341321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494291709952).

2145341321312 is an abundant number, since it is smaller than the sum of its proper divisors (2843242098592).

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

2145341321312 is a wasteful number, since it uses less digits than its factorization.

2145341321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363092 (or 363084 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

Adding to 2145341321312 its reverse (2131231435412), we get a palindrome (4276572756724).

The spelling of 2145341321312 in words is "two trillion, one hundred forty-five billion, three hundred forty-one million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 853 868 992 1706 1736 3412 3472 5971 6824 6944 11942 13648 23884 26443 27296 47768 52886 95536 105772 185101 191072 211544 362191 370202 423088 724382 740404 846176 1448764 1480808 2535337 2897528 2961616 5070674 5795056 5923232 10141348 11227921 11590112 20282696 22455842 40565392 44911684 78595447 81130784 89823368 157190894 179646736 308948923 314381788 359293472 617897846 628763576 1235795692 1257527152 2162642461 2471591384 2515054304 4325284922 4943182768 8650569844 9577416613 9886365536 17301139688 19154833226 34602279376 38309666452 67041916291 69204558752 76619332904 134083832582 153238665808 268167665164 306477331616 536335330328 1072670660656 2145341321312