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1345062032440 = 235723877177007
BaseRepresentation
bin10011100100101011111…
…100011101010000111000
311202120211200111212210121
4103210223330131100320
5134014141340014230
62505525111223024
7166114614430300
oct23445374352070
94676750455717
101345062032440
1147948a4a7115
12198822677a74
1399ab9b17669
144915c164600
1524ec501877a
hex1392bf1d438

1345062032440 has 96 divisors (see below), whose sum is σ = 3521421933120. Its totient is φ = 461042572032.

The previous prime is 1345062032387. The next prime is 1345062032449. The reversal of 1345062032440 is 442302605431.

It is a super-2 number, since 2×13450620324402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1345062032396 and 1345062032405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345062032449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7510417 + ... + 7687423.

It is an arithmetic number, because the mean of its divisors is an integer number (36681478470).

Almost surely, 21345062032440 is an apocalyptic number.

1345062032440 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 1345062032440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760710966560).

1345062032440 is an abundant number, since it is smaller than the sum of its proper divisors (2176359900680).

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

1345062032440 is a wasteful number, since it uses less digits than its factorization.

1345062032440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180909 (or 180898 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 1345062032440 its reverse (442302605431), we get a palindrome (1787364637871).

The spelling of 1345062032440 in words is "one trillion, three hundred forty-five billion, sixty-two million, thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 3877 7754 15508 19385 27139 31016 38770 54278 77540 108556 135695 155080 177007 189973 217112 271390 354014 379946 542780 708028 759892 885035 949865 1085560 1239049 1416056 1519784 1770070 1899730 2478098 3540140 3799460 4956196 6195245 7080280 7598920 8673343 9912392 12390490 17346686 24780980 34693372 43366715 49561960 69386744 86733430 173466860 346933720 686256139 1372512278 2745024556 3431280695 4803792973 5490049112 6862561390 9607585946 13725122780 19215171892 24018964865 27450245560 33626550811 38430343784 48037929730 67253101622 96075859460 134506203244 168132754055 192151718920 269012406488 336265508110 672531016220 1345062032440