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1345062561420 = 223573331392693
BaseRepresentation
bin10011100100101011111…
…110011110011010001100
311202120211201111202102110
4103210223332132122030
5134014142003431140
62505525130424020
7166114622062434
oct23445376363214
94676751452373
101345062561420
1147948a828596
12198822892010
1399ab9c71376
144915c2612c4
1524ec50c0380
hex1392bf9e68c

1345062561420 has 96 divisors (see below), whose sum is σ = 3818960171712. Its totient is φ = 353659281408.

The previous prime is 1345062561389. The next prime is 1345062561439. The reversal of 1345062561420 is 241652605431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14464594 + ... + 14557286.

It is an arithmetic number, because the mean of its divisors is an integer number (39780835122).

Almost surely, 21345062561420 is an apocalyptic number.

1345062561420 is a gapful number since it is divisible by the number (10) 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 1345062561420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909480085856).

1345062561420 is an abundant number, since it is smaller than the sum of its proper divisors (2473897610292).

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

1345062561420 is a wasteful number, since it uses less digits than its factorization.

1345062561420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96091 (or 96089 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 1345062561420 in words is "one trillion, three hundred forty-five billion, sixty-two million, five hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 3313 4380 6626 9939 13252 16565 19878 33130 39756 49695 66260 92693 99390 185386 198780 241849 278079 370772 463465 483698 556158 725547 926930 967396 1112316 1209245 1390395 1451094 1853860 2418490 2780790 2902188 3627735 4836980 5561580 6766589 7255470 13533178 14510940 20299767 27066356 33832945 40599534 67665890 81199068 101498835 135331780 202997670 307091909 405995340 614183818 921275727 1228367636 1535459545 1842551454 3070919090 3685102908 4606378635 6141838180 9212757270 18425514540 22417709357 44835418714 67253128071 89670837428 112088546785 134506256142 224177093570 269012512284 336265640355 448354187140 672531280710 1345062561420