Search a number
-
+
1082944097316 = 223225126912
BaseRepresentation
bin11111100001001000111…
…11111000110000100100
310211112021020101010202100
433300210133320300210
5120220332142103231
62145255254212100
7141145235642514
oct17604437706044
93745236333670
101082944097316
1138830178a954
12155a6b954030
137b176340b73
143a5b41d5844
151d2834351e6
hexfc247f8c24

1082944097316 has 81 divisors (see below), whose sum is σ = 2752374785979. Its totient is φ = 359022870000.

The previous prime is 1082944097309. The next prime is 1082944097317. The reversal of 1082944097316 is 6137904492801.

The square root of 1082944097316 is 1040646.

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

1082944097316 is a `hidden beast` number, since 1 + 0 + 82 + 9 + 440 + 97 + 31 + 6 = 666.

1082944097316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1082944097317) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1567212531 + ... + 1567213221.

Almost surely, 21082944097316 is an apocalyptic number.

1082944097316 is the 1040646-th square number.

It is an amenable number.

1082944097316 is an abundant number, since it is smaller than the sum of its proper divisors (1669430688663).

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

1082944097316 is an frugal number, since it uses more digits than its factorization.

1082944097316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 947 counting only the distinct ones).

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

The spelling of 1082944097316 in words is "one trillion, eighty-two billion, nine hundred forty-four million, ninety-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 251 502 691 753 1004 1382 1506 2073 2259 2764 3012 4146 4518 6219 8292 9036 12438 24876 63001 126002 173441 189003 252004 346882 378006 477481 520323 567009 693764 756012 954962 1040646 1134018 1432443 1560969 1909924 2081292 2268036 2864886 3121938 4297329 5729772 6243876 8594658 17189316 43533691 87067382 119847731 130601073 174134764 239695462 261202146 359543193 391803219 479390924 522404292 719086386 783606438 1078629579 1438172772 1567212876 2157259158 4314518316 30081780481 60163560962 90245341443 120327121924 180490682886 270736024329 360981365772 541472048658 1082944097316