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1346021415544 = 231373691256577
BaseRepresentation
bin10011100101100101001…
…000001101101001111000
311202200022112202121000011
4103211211020031221320
5134023122440244134
62510204222151304
7166150444153501
oct23454510155170
94680275677004
101346021415544
11479931aa8913
12198a4ba22534
1399c10803280
144920d73bba8
152502e375264
hex1396520da78

1346021415544 has 64 divisors (see below), whose sum is σ = 2759157707040. Its totient is φ = 611841392640.

The previous prime is 1346021415503. The next prime is 1346021415551. The reversal of 1346021415544 is 4455141206431.

It is a super-2 number, since 2×13460214155442 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1346021415497 and 1346021415506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5117784 + ... + 5374360.

Almost surely, 21346021415544 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 1346021415544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379578853520).

1346021415544 is an abundant number, since it is smaller than the sum of its proper divisors (1413136291496).

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

1346021415544 is a wasteful number, since it uses less digits than its factorization.

1346021415544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257360 (or 257356 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 1346021415544 in words is "one trillion, three hundred forty-six billion, twenty-one million, four hundred fifteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 584 691 949 1382 1898 2764 3796 5528 7592 8983 17966 35932 50443 71864 100886 201772 256577 403544 513154 655759 1026308 1311518 2052616 2623036 3335501 5246072 6671002 13342004 18730121 26684008 37460242 74920484 149840968 177294707 243491573 354589414 486983146 709178828 973966292 1418357656 1947932584 2304831191 4609662382 9219324764 12942513611 18438649528 25885027222 51770054444 103540108888 168252676943 336505353886 673010707772 1346021415544