Search a number
-
+
1330073210944 = 261441612
BaseRepresentation
bin10011010110101110100…
…010101001000001000000
311201011011002101212010201
4103112232202221001000
5133242442220222234
62455005512534544
7165044311516252
oct23265642510100
94634132355121
101330073210944
1147309871a735
1219593a9b1454
139856b6b370a
144853960dcd2
15248e91b1314
hex135ae8a9040

1330073210944 has 21 divisors (see below), whose sum is σ = 2639382336541. Its totient is φ = 665031992320.

The previous prime is 1330073210941. The next prime is 1330073210953. The reversal of 1330073210944 is 4490123700331.

The square root of 1330073210944 is 1153288.

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., 484850401344 + 845222809600 = 696312^2 + 919360^2 .

It is a super-2 number, since 2×13300732109442 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1330073210941) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 9154224 + ... + 9298384.

Almost surely, 21330073210944 is an apocalyptic number.

1330073210944 is the 1153288-th square number.

It is an amenable number.

1330073210944 is a deficient number, since it is larger than the sum of its proper divisors (1309309125597).

1330073210944 is an frugal number, since it uses more digits than its factorization.

1330073210944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288334 (or 144163 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 1330073210944 in words is "one trillion, three hundred thirty billion, seventy-three million, two hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 144161 288322 576644 1153288 2306576 4613152 9226304 20782393921 41564787842 83129575684 166259151368 332518302736 665036605472 1330073210944