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1243132744224 = 25374723391679
BaseRepresentation
bin10010000101110000011…
…111000101001000100000
311101211202001120112122210
4102011300133011020200
5130331413440303344
62351030505002120
7155545662656640
oct22056037051040
94354661515583
101243132744224
1143a234031248
12180b16783340
13902c46bb377
144424cbb4520
152250b737db9
hex121707c5220

1243132744224 has 96 divisors (see below), whose sum is σ = 3730197381120. Its totient is φ = 355104675072.

The previous prime is 1243132744207. The next prime is 1243132744229. The reversal of 1243132744224 is 4224472313421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×12431327442243 (a number of 37 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1243132744229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2978017 + ... + 3369695.

It is an arithmetic number, because the mean of its divisors is an integer number (38856222720).

Almost surely, 21243132744224 is an apocalyptic number.

1243132744224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1243132744224 is an abundant number, since it is smaller than the sum of its proper divisors (2487064636896).

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

1243132744224 is a wasteful number, since it uses less digits than its factorization.

1243132744224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396422 (or 396414 counting only the distinct ones).

The product of its digits is 258048, while the sum is 39.

The spelling of 1243132744224 in words is "one trillion, two hundred forty-three billion, one hundred thirty-two million, seven hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 4723 9446 14169 18892 28338 33061 37784 56676 66122 75568 99183 113352 132244 151136 198366 226704 264488 391679 396732 453408 528976 783358 793464 1057952 1175037 1566716 1586928 2350074 2741753 3133432 3173856 4700148 5483506 6266864 8225259 9400296 10967012 12533728 16450518 18800592 21934024 32901036 37601184 43868048 65802072 87736096 131604144 263208288 1849899917 3699799834 5549699751 7399599668 11099399502 12949299419 14799199336 22198799004 25898598838 29598398672 38847898257 44397598008 51797197676 59196797344 77695796514 88795196016 103594395352 155391593028 177590392032 207188790704 310783186056 414377581408 621566372112 1243132744224