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1347011672440 = 235729493733601
BaseRepresentation
bin10011100110100000001…
…001101111100101111000
311202202212120002212002111
4103212200021233211320
5134032134442004230
62510450354542104
7166214130205030
oct23464011574570
94682776085074
101347011672440
1147a29aa77545
12199087597934
139a03aa0b7b5
14492a50708c0
152508b27e92a
hex139a026f978

1347011672440 has 128 divisors (see below), whose sum is σ = 3584016201600. Its totient is φ = 445803724800.

The previous prime is 1347011672407. The next prime is 1347011672441. The reversal of 1347011672440 is 442761107431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1347011672393 and 1347011672402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1347011672441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40071640 + ... + 40105240.

It is an arithmetic number, because the mean of its divisors is an integer number (28000126575).

Almost surely, 21347011672440 is an apocalyptic number.

1347011672440 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 1347011672440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792008100800).

1347011672440 is an abundant number, since it is smaller than the sum of its proper divisors (2237004529160).

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

1347011672440 is a wasteful number, since it uses less digits than its factorization.

1347011672440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38585 (or 38581 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

Adding to 1347011672440 its reverse (442761107431), we get a palindrome (1789772779871).

The spelling of 1347011672440 in words is "one trillion, three hundred forty-seven billion, eleven million, six hundred seventy-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 4937 8120 9874 19748 24685 33601 34559 39496 49370 67202 69118 98740 134404 138236 143173 168005 172795 197480 235207 268808 276472 286346 336010 345590 470414 572692 672020 691180 715865 940828 974429 1002211 1145384 1176035 1344040 1382360 1431730 1881656 1948858 2004422 2352070 2863460 3897716 4008844 4704140 4872145 5011055 5726920 6821003 7795432 8017688 9408280 9744290 10022110 13642006 19488580 20044220 27284012 34105015 38977160 40088440 54568024 68210030 136420060 165888137 272840120 331776274 663552548 829440685 1161216959 1327105096 1658881370 2322433918 3317762740 4644867836 4810755973 5806084795 6635525480 9289735672 9621511946 11612169590 19243023892 23224339180 24053779865 33675291811 38486047784 46448678360 48107559730 67350583622 96215119460 134701167244 168376459055 192430238920 269402334488 336752918110 673505836220 1347011672440