Search a number
-
+
3045443754372 = 2231914923731613
BaseRepresentation
bin101100010100010010100…
…101111101100110000100
3101210010211012201012001220
4230110102211331212010
5344344032100114442
610251020232520340
7433011635536635
oct54242245754604
911703735635056
103045443754372
11a74624671a78
12412288b500b0
13191251661ca6
14a758647988c
15543440d9eec
hex2c51297d984

3045443754372 has 144 divisors (see below), whose sum is σ = 7555446212160. Its totient is φ = 952112918016.

The previous prime is 3045443754371. The next prime is 3045443754421. The reversal of 3045443754372 is 2734573445403.

It is a super-2 number, since 2×30454437543722 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3045443754371) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1888061038 + ... + 1888062650.

Almost surely, 23045443754372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3045443754372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777723106080).

3045443754372 is an abundant number, since it is smaller than the sum of its proper divisors (4510002457788).

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

3045443754372 is a wasteful number, since it uses less digits than its factorization.

3045443754372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 51.

The spelling of 3045443754372 in words is "three trillion, forty-five billion, four hundred forty-three million, seven hundred fifty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 149 228 298 373 447 596 746 894 1119 1492 1613 1788 2238 2831 3226 4476 4839 5662 6452 7087 8493 9678 11324 14174 16986 19356 21261 22201 28348 30647 33972 42522 44402 55577 61294 66603 85044 88804 91941 111154 122588 133206 166731 183882 222308 240337 266412 333462 367764 421819 480674 601649 666924 721011 843638 961348 1055963 1203298 1265457 1442022 1687276 1804947 2111926 2406596 2530914 2884044 3167889 3609894 4223852 4566403 5061828 6335778 7219788 8280973 9132806 11431331 12671556 13699209 16561946 18265612 22862662 24842919 27398418 33123892 34293993 35810213 45725324 49685838 54796836 68587986 71620426 89645701 99371676 107430639 137175972 143240852 157338487 179291402 214861278 268937103 314676974 358582804 429722556 472015461 537874206 629353948 680394047 944030922 1075748412 1360788094 1703268319 1888061844 2041182141 2721576188 3406536638 4082364282 5109804957 6813073276 8164728564 10219609914 13357209449 20439219828 26714418898 40071628347 53428837796 80143256694 160286513388 253786979531 507573959062 761360938593 1015147918124 1522721877186 3045443754372