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1290307430889 = 36420712
BaseRepresentation
bin10010110001101100010…
…100001110100111101001
311120100111202001221000000
4102301230110032213221
5132120022200242024
62424431542133213
7162136010125401
oct22615424164751
94510452057000
101290307430889
114582419a75a4
1218a0a1421209
13948a200a149
14466461b1801
152386d042cc9
hex12c6c50e9e9

1290307430889 has 21 divisors (see below), whose sum is σ = 1934622146509. Its totient is φ = 860184507420.

The previous prime is 1290307430879. The next prime is 1290307430899. The reversal of 1290307430889 is 9880347030921.

The square root of 1290307430889 is 1135917.

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

1290307430889 is a `hidden beast` number, since 1 + 29 + 0 + 307 + 4 + 308 + 8 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (1290307430879) and next prime (1290307430899).

It is not a de Polignac number, because 1290307430889 - 25 = 1290307430857 is a prime.

It is a super-2 number, since 2×12903074308892 (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 (1290307430849) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 30648724 + ... + 30690794.

Almost surely, 21290307430889 is an apocalyptic number.

1290307430889 is the 1135917-th square number.

1290307430889 is the 567959-th centered octagonal number.

It is an amenable number.

1290307430889 is a deficient number, since it is larger than the sum of its proper divisors (644314715620).

1290307430889 is an frugal number, since it uses more digits than its factorization.

1290307430889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84160 (or 42074 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1290307430889 in words is "one trillion, two hundred ninety billion, three hundred seven million, four hundred thirty thousand, eight hundred eighty-nine".

Divisors: 1 3 9 27 81 243 729 42071 126213 378639 1135917 3407751 10223253 30669759 1769969041 5309907123 15929721369 47789164107 143367492321 430102476963 1290307430889