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133381341239056 = 241512191212
BaseRepresentation
bin11110010100111101000011…
…011101101101011100010000
3122111021010120000002200001121
4132110331003131231130100
5114440304441324122211
61151402313043412024
740044324656051611
oct3624750335553420
9574233500080047
10133381341239056
1139554788981009
1212b62245384014
135956a63b92271
1424d1997149c08
15106484c5a4271
hex794f4376d710

133381341239056 has 45 divisors (see below), whose sum is σ = 260162721540309. Its totient is φ = 66245545824000.

The previous prime is 133381341238961. The next prime is 133381341239173. The reversal of 133381341239056 is 650932143183331.

The square root of 133381341239056 is 11549084.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 116512249399056 + 16869091840000 = 10794084^2 + 4107200^2 .

It is a super-2 number, since 2×1333813412390562 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133381341238994 and 133381341239012.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6975637176 + ... + 6975656296.

Almost surely, 2133381341239056 is an apocalyptic number.

133381341239056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

133381341239056 is the 11549084-th square number.

It is an amenable number.

133381341239056 is a deficient number, since it is larger than the sum of its proper divisors (126781380301253).

133381341239056 is an frugal number, since it uses more digits than its factorization.

133381341239056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38552 (or 19274 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 52.

The spelling of 133381341239056 in words is "one hundred thirty-three trillion, three hundred eighty-one billion, three hundred forty-one million, two hundred thirty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 151 302 604 1208 2416 19121 22801 38242 45602 76484 91204 152968 182408 305936 364816 2887271 5774542 11549084 23098168 46196336 365612641 435977921 731225282 871955842 1462450564 1743911684 2924901128 3487823368 5849802256 6975646736 55207508791 110415017582 220830035164 441660070328 883320140656 8336333827441 16672667654882 33345335309764 66690670619528 133381341239056