Search a number
-
+
1281125169424 = 241925322812
BaseRepresentation
bin10010101001001001000…
…000101011100100010000
311112110210211000201021001
4102221021000223210100
5131442221020410144
62420312450311344
7161362322156662
oct22511100534420
94473724021231
101281125169424
1145435a839661
1218835a288554
1393a6a873839
14460148b4532
15234d1d62bd4
hex12a4902b910

1281125169424 has 135 divisors (see below), whose sum is σ = 2679593565999. Its totient is φ = 593279930880.

The previous prime is 1281125169419. The next prime is 1281125169431. The reversal of 1281125169424 is 4249615211821.

The square root of 1281125169424 is 1131868.

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

It can be written as a sum of positive squares in 4 ways, for example, as 202086211600 + 1079038957824 = 449540^2 + 1038768^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4559164164 + ... + 4559164444.

Almost surely, 21281125169424 is an apocalyptic number.

1281125169424 is the 1131868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1281125169424

1281125169424 is an abundant number, since it is smaller than the sum of its proper divisors (1398468396575).

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

1281125169424 is an frugal number, since it uses more digits than its factorization.

1281125169424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 355 counting only the distinct ones).

The product of its digits is 276480, while the sum is 46.

The spelling of 1281125169424 in words is "one trillion, two hundred eighty-one billion, one hundred twenty-five million, one hundred sixty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 53 76 106 152 212 281 304 361 424 562 722 848 1007 1124 1444 2014 2248 2809 2888 4028 4496 5339 5618 5776 8056 10678 11236 14893 16112 19133 21356 22472 29786 38266 42712 44944 53371 59572 76532 78961 85424 101441 106742 119144 153064 157922 202882 213484 238288 282967 306128 315844 405764 426968 565934 631688 789329 811528 853936 1014049 1131868 1263376 1500259 1578658 1623056 2028098 2263736 3000518 3157316 4056196 4184933 4527472 5376373 6001036 6314632 8112392 8369866 10752746 12002072 12629264 14997251 16224784 16739732 21505492 24004144 28504921 29994502 33479464 43010984 57009842 59989004 66958928 79513727 86021968 114019684 119978008 159027454 221801449 228039368 239956016 284947769 318054908 443602898 456078736 569895538 636109816 887205796 1139791076 1272219632 1510760813 1774411592 2279582152 3021521626 3548823184 4214227531 4559164304 6043043252 8428455062 12086086504 16856910124 24172173008 33713820248 67427640496 80070323089 160140646178 320281292356 640562584712 1281125169424