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11145355233156 = 22324143312
BaseRepresentation
bin1010001000101111101011…
…1100001000011110000100
31110110111002222011120220100
42202023322330020132010
52430101141414430111
635412034442404100
72230140202241304
oct242137274103604
943414088146810
1011145355233156
11360779a519a81
121300064b00630
1362b005610a61
142a761c0d5604
15144db2601756
hexa22faf08784

11145355233156 has 135 divisors (see below), whose sum is σ = 28964811754515. Its totient is φ = 3613555598400.

The previous prime is 11145355233139. The next prime is 11145355233161. The reversal of 11145355233156 is 65133255354111.

The square root of 11145355233156 is 3338466.

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

11145355233156 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 53 + 552 + 33 + 15 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9100684026756 + 2044671206400 = 3016734^2 + 1429920^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33671767911 + ... + 33671768241.

Almost surely, 211145355233156 is an apocalyptic number.

11145355233156 is the 3338466-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11145355233156

11145355233156 is an abundant number, since it is smaller than the sum of its proper divisors (17819456521359).

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

11145355233156 is an frugal number, since it uses more digits than its factorization.

11145355233156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 377 counting only the distinct ones).

The product of its digits is 810000, while the sum is 45.

The spelling of 11145355233156 in words is "eleven trillion, one hundred forty-five billion, three hundred fifty-five million, two hundred thirty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 331 369 492 662 738 993 1324 1476 1681 1986 2979 3362 3972 5043 5958 6724 10086 11916 13571 15129 20172 27142 30258 40713 54284 60516 68921 81426 109561 122139 137842 162852 206763 219122 244278 275684 328683 413526 438244 488556 556411 620289 657366 827052 986049 1112822 1240578 1314732 1669233 1972098 2225644 2481156 2825761 3338466 3944196 4492001 5007699 5651522 6676932 8477283 8984002 10015398 11303044 13476003 16954566 17968004 20030796 22812851 25431849 26952006 33909132 40428009 45625702 50863698 53904012 68438553 80856018 91251404 101727396 136877106 161712036 184172041 205315659 273754212 368344082 410631318 552516123 736688164 821262636 935326891 1105032246 1657548369 1870653782 2210064492 2805980673 3315096738 3741307564 5611961346 6630193476 7551053681 8417942019 11223922692 15102107362 16835884038 22653161043 30204214724 33671768076 45306322086 67959483129 90612644172 135918966258 271837932516 309593200921 619186401842 928779602763 1238372803684 1857559205526 2786338808289 3715118411052 5572677616578 11145355233156