Search a number
-
+
1290845044152 = 233237736637691
BaseRepresentation
bin10010110010001100010…
…111000011110110111000
311120101220012200111202100
4102302030113003312320
5132122122312403102
62425001145103400
7162155225560116
oct22621427036670
94511805614670
101290845044152
11458498414384
1218a211487b60
13949595015c1
1446697758ab6
15238a033aa1c
hex12c8c5c3db8

1290845044152 has 96 divisors (see below), whose sum is σ = 3639712031280. Its totient is φ = 412917419520.

The previous prime is 1290845044121. The next prime is 1290845044211. The reversal of 1290845044152 is 2514405480921.

1290845044152 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 8 + 450 + 44 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1290845044098 and 1290845044107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3124374 + ... + 3513317.

Almost surely, 21290845044152 is an apocalyptic number.

1290845044152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1290845044152 is an abundant number, since it is smaller than the sum of its proper divisors (2348866987128).

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

1290845044152 is a wasteful number, since it uses less digits than its factorization.

1290845044152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6637813 (or 6637806 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1290845044152 in words is "one trillion, two hundred ninety billion, eight hundred forty-five million, forty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 73 74 111 146 148 219 222 292 296 333 438 444 584 657 666 876 888 1314 1332 1752 2628 2664 2701 5256 5402 8103 10804 16206 21608 24309 32412 48618 64824 97236 194472 6637691 13275382 19913073 26550764 39826146 53101528 59739219 79652292 119478438 159304584 238956876 245594567 477913752 484551443 491189134 736783701 969102886 982378268 1453654329 1473567402 1938205772 1964756536 2210351103 2907308658 2947134804 3876411544 4360962987 4420702206 5814617316 5894269608 8721925974 8841404412 11629234632 17443851948 17682808824 17928403391 34887703896 35856806782 53785210173 71713613564 107570420346 143427227128 161355630519 215140840692 322711261038 430281681384 645422522076 1290845044152