Search a number
-
+
1275152045328 = 243272834470077
BaseRepresentation
bin10010100011100100111…
…111000001010100010000
311111220101112112120101200
4102203210333001110100
5131343002410422303
62413444033431200
7161061312356010
oct22434477012420
94456345476350
101275152045328
114518750a5067
12187171a0b500
1393328227a95
1445a0949dc40
15232827883a3
hex128e4fc1510

1275152045328 has 120 divisors (see below), whose sum is σ = 4092874938048. Its totient is φ = 363041692416.

The previous prime is 1275152045227. The next prime is 1275152045333. The reversal of 1275152045328 is 8235402515721.

1275152045328 is a `hidden beast` number, since 1 + 2 + 7 + 51 + 520 + 4 + 53 + 28 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1949775 + ... + 2520302.

Almost surely, 21275152045328 is an apocalyptic number.

1275152045328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1275152045328 is an abundant number, since it is smaller than the sum of its proper divisors (2817722892720).

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

1275152045328 is a wasteful number, since it uses less digits than its factorization.

1275152045328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470381 (or 4470372 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 1275152045328 in words is "one trillion, two hundred seventy-five billion, one hundred fifty-two million, forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 283 336 504 566 849 1008 1132 1698 1981 2264 2547 3396 3962 4528 5094 5943 6792 7924 10188 11886 13584 15848 17829 20376 23772 31696 35658 40752 47544 71316 95088 142632 285264 4470077 8940154 13410231 17880308 26820462 31290539 35760616 40230693 53640924 62581078 71521232 80461386 93871617 107281848 125162156 160922772 187743234 214563696 250324312 281614851 321845544 375486468 500648624 563229702 643691088 750972936 1126459404 1265031791 1501945872 2252918808 2530063582 3795095373 4505837616 5060127164 7590190746 8855222537 10120254328 11385286119 15180381492 17710445074 20240508656 22770572238 26565667611 30360762984 35420890148 45541144476 53131335222 60721525968 70841780296 79697002833 91082288952 106262670444 141683560592 159394005666 182164577904 212525340888 318788011332 425050681776 637576022664 1275152045328