Search a number
-
+
2140781604480 = 27325371663473
BaseRepresentation
bin11111001001110000100…
…001101110111010000000
321120122201202021100111100
4133021300201232322000
5240033310042320410
64315243403214400
7310444364253441
oct37116041567200
97518652240440
102140781604480
1175599a450a42
122a6a93517400
13126b4b03820c
1475885c192c8
153aa476408c0
hex1f27086ee80

2140781604480 has 96 divisors (see below), whose sum is σ = 7392386497860. Its totient is φ = 570875092992.

The previous prime is 2140781604443. The next prime is 2140781604523. The reversal of 2140781604480 is 844061870412.

2140781604480 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 7 + 8 + 160 + 4 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2139011551296 + 1770053184 = 1462536^2 + 42072^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185825977 + ... + 185837496.

Almost surely, 22140781604480 is an apocalyptic number.

2140781604480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140781604480 is an abundant number, since it is smaller than the sum of its proper divisors (5251604893380).

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

2140781604480 is a wasteful number, since it uses less digits than its factorization.

2140781604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371663498 (or 371663483 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 2140781604480 in words is "two trillion, one hundred forty billion, seven hundred eighty-one million, six hundred four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 371663473 743326946 1114990419 1486653892 1858317365 2229980838 2973307784 3344971257 3716634730 4459961676 5574952095 5946615568 6689942514 7433269460 8919923352 11149904190 11893231136 13379885028 14866538920 16724856285 17839846704 22299808380 23786462272 26759770056 29733077840 33449712570 35679693408 44599616760 47572924544 53519540112 59466155680 66899425140 71359386816 89199233520 107039080224 118932311360 133798850280 142718773632 178398467040 214078160448 237864622720 267597700560 356796934080 428156320896 535195401120 713593868160 1070390802240 2140781604480