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1346944457760 = 253511793732141
BaseRepresentation
bin10011100110011100001…
…001010101110000100000
311202202200212121222212220
4103212130021111300200
5134032020240122020
62510435554151040
7166212352661616
oct23463411256040
94682625558786
101346944457760
1147a266039120
12199068b82480
139a029b069b5
144929a1756b6
1525085404240
hex1399c255c20

1346944457760 has 192 divisors, whose sum is σ = 4629318148224. Its totient is φ = 326480691200.

The previous prime is 1346944457713. The next prime is 1346944457801. The reversal of 1346944457760 is 677544496431.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1346944457694 and 1346944457703.

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 31 ways as a sum of consecutive naturals, for example, 41891290 + ... + 41923430.

It is an arithmetic number, because the mean of its divisors is an integer number (24111032022).

Almost surely, 21346944457760 is an apocalyptic number.

1346944457760 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 1346944457760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314659074112).

1346944457760 is an abundant number, since it is smaller than the sum of its proper divisors (3282373690464).

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

1346944457760 is a wasteful number, since it uses less digits than its factorization.

1346944457760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40107 (or 40099 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 60.

The spelling of 1346944457760 in words is "one trillion, three hundred forty-six billion, nine hundred forty-four million, four hundred fifty-seven thousand, seven hundred sixty".