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1345254452432 = 241127310978677
BaseRepresentation
bin10011100100110111011…
…010011110110011010000
311202121100002120211101222
4103210313122132303100
5134020040114434212
62510000143344212
7166122442114442
oct23446732366320
94677302524358
101345254452432
11479579082100
12198876bb2068
1399b1a949747
1449179932492
1524ed6d76c72
hex1393769ecd0

1345254452432 has 120 divisors (see below), whose sum is σ = 2907147321288. Its totient is φ = 602483650560.

The previous prime is 1345254452371. The next prime is 1345254452449. The reversal of 1345254452432 is 2342544525431.

It can be written as a sum of positive squares in 4 ways, for example, as 48671419456 + 1296583032976 = 220616^2 + 1138676^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 155032478 + ... + 155041154.

Almost surely, 21345254452432 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 1345254452432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453573660644).

1345254452432 is an abundant number, since it is smaller than the sum of its proper divisors (1561892868856).

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

1345254452432 is a wasteful number, since it uses less digits than its factorization.

1345254452432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9877 (or 9860 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 44.

Adding to 1345254452432 its reverse (2342544525431), we get a palindrome (3687798977863).

The spelling of 1345254452432 in words is "one trillion, three hundred forty-five billion, two hundred fifty-four million, four hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 73 88 121 146 176 242 292 484 584 803 968 1097 1168 1606 1936 2194 3212 4388 6424 8677 8776 8833 12067 12848 17354 17552 17666 24134 34708 35332 48268 69416 70664 80081 95447 96536 132737 138832 141328 160162 190894 193072 265474 320324 381788 530948 633421 640648 763576 880891 1049917 1061896 1266842 1281296 1527152 1761782 2099834 2123792 2533684 3523564 4199668 5067368 6967631 7047128 8399336 9518669 9689801 10134736 13935262 14094256 16798672 19037338 19379602 27870524 38074676 38759204 55741048 76149352 76643941 77518408 104705359 111482096 152298704 153287882 155036816 209410718 306575764 418821436 613151528 694862837 837642872 1151758949 1226303056 1389725674 1675285744 2303517898 2779451348 4607035796 5558902696 7643491207 9214071592 11117805392 15286982414 18428143184 30573964828 61147929656 84078403277 122295859312 168156806554 336313613108 672627226216 1345254452432