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11152433240000 = 26541321446987
BaseRepresentation
bin1010001001001010000011…
…0100100101011111000000
31110111011101020200120221222
42202102200310211133000
52430210140402140000
635415205044534212
72230510456302623
oct242224064453700
943434336616858
1011152433240000
11360a7a1903308
1213014bb3b1368
1362b892b29aa0
142a7ad0159dba
15145178bc8a85
hexa24a0d257c0

11152433240000 has 140 divisors (see below), whose sum is σ = 29781673582584. Its totient is φ = 4117821312000.

The previous prime is 11152433239967. The next prime is 11152433240009. The reversal of 11152433240000 is 4233425111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11152433240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10203494 + ... + 11243493.

Almost surely, 211152433240000 is an apocalyptic number.

11152433240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11152433240000 is an abundant number, since it is smaller than the sum of its proper divisors (18629240342584).

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

11152433240000 is an equidigital number, since it uses as much as digits as its factorization.

11152433240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21447032 (or 21447007 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 11152433240000 its reverse (4233425111), we get a palindrome (11156666665111).

The spelling of 11152433240000 in words is "eleven trillion, one hundred fifty-two billion, four hundred thirty-three million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 625 650 800 832 1000 1040 1250 1300 1600 1625 2000 2080 2500 2600 3250 4000 4160 5000 5200 6500 8000 8125 10000 10400 13000 16250 20000 20800 26000 32500 40000 52000 65000 104000 130000 260000 520000 21446987 42893974 85787948 107234935 171575896 214469870 278810831 343151792 428939740 536174675 557621662 686303584 857879480 1072349350 1115243324 1372607168 1394054155 1715758960 2144698700 2230486648 2680873375 2788108310 3431517920 4289397400 4460973296 5361746750 5576216620 6863035840 6970270775 8578794800 8921946592 10723493500 11152433240 13404366875 13940541550 17157589600 17843893184 21446987000 22304866480 26808733750 27881083100 34315179200 34851353875 42893974000 44609732960 53617467500 55762166200 69702707750 85787948000 89219465920 107234935000 111524332400 139405415500 171575896000 174256769375 214469870000 223048664800 278810831000 348513538750 428939740000 446097329600 557621662000 697027077500 857879480000 1115243324000 1394054155000 2230486648000 2788108310000 5576216620000 11152433240000