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11242142233140 = 22357132059000409
BaseRepresentation
bin1010001110011000001111…
…1001001111001000110100
31110210201221012222121201110
42203212003321033020310
52433142401402430030
635524322511555020
72240134523203650
oct243460371171064
943721835877643
1011242142233140
113644847232665
12131697682ba70
1363718b57c750
142ac1a0545a60
151476797211b0
hexa3983e4f234

11242142233140 has 96 divisors (see below), whose sum is σ = 38742151714560. Its totient is φ = 2371968470016.

The previous prime is 11242142233129. The next prime is 11242142233171. The reversal of 11242142233140 is 4133224124211.

It is a happy number.

It is a super-2 number, since 2×112421422331402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11242142233098 and 11242142233107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1029494745 + ... + 1029505664.

It is an arithmetic number, because the mean of its divisors is an integer number (403564080360).

Almost surely, 211242142233140 is an apocalyptic number.

11242142233140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11242142233140 is an abundant number, since it is smaller than the sum of its proper divisors (27500009481420).

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

11242142233140 is a wasteful number, since it uses less digits than its factorization.

11242142233140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059000441 (or 2059000439 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11242142233140 its reverse (4133224124211), we get a palindrome (15375366357351).

The spelling of 11242142233140 in words is "eleven trillion, two hundred forty-two billion, one hundred forty-two million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 2059000409 4118000818 6177001227 8236001636 10295002045 12354002454 14413002863 20590004090 24708004908 26767005317 28826005726 30885006135 41180008180 43239008589 53534010634 57652011452 61770012270 72065014315 80301015951 86478017178 107068021268 123540024540 133835026585 144130028630 160602031902 172956034356 187369037219 216195042945 267670053170 288260057260 321204063804 374738074438 401505079755 432390085890 535340106340 562107111657 749476148876 803010159510 864780171780 936845186095 1124214223314 1606020319020 1873690372190 2248428446628 2810535558285 3747380744380 5621071116570 11242142233140