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1432000242240 = 26352201367763
BaseRepresentation
bin10100110101101001110…
…111011010001001000000
312001220020120002112100220
4110311221313122021000
5141430214030222430
63013503554543040
7205313205136641
oct24655167321100
95056216075326
101432000242240
11502342893987
121b1645b97a80
13a50634cc659
144d4485736c8
15273b2698110
hex14d69dda240

1432000242240 has 112 divisors (see below), whose sum is σ = 4546874409408. Its totient is φ = 381843748864.

The previous prime is 1432000242217. The next prime is 1432000242247. The reversal of 1432000242240 is 422420002341.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1432000242240.

It is not an unprimeable number, because it can be changed into a prime (1432000242247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21098599 + ... + 21166361.

Almost surely, 21432000242240 is an apocalyptic number.

1432000242240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1432000242240 is an abundant number, since it is smaller than the sum of its proper divisors (3114874167168).

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

1432000242240 is a wasteful number, since it uses less digits than its factorization.

1432000242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89796 (or 89786 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 1432000242240 its reverse (422420002341), we get a palindrome (1854420244581).

The spelling of 1432000242240 in words is "one trillion, four hundred thirty-two billion, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 22013 44026 66039 67763 88052 110065 132078 135526 176104 203289 220130 264156 271052 330195 338815 352208 406578 440260 528312 542104 660390 677630 704416 813156 880520 1016445 1056624 1084208 1320780 1355260 1408832 1626312 1761040 2032890 2113248 2168416 2641560 2710520 3252624 3522080 4065780 4226496 4336832 5283120 5421040 6505248 7044160 8131560 10566240 10842080 13010496 16263120 21132480 21684160 32526240 65052480 1491666919 2983333838 4475000757 5966667676 7458334595 8950001514 11933335352 14916669190 17900003028 22375003785 23866670704 29833338380 35800006056 44750007570 47733341408 59666676760 71600012112 89500015140 95466682816 119333353520 143200024224 179000030280 238666707040 286400048448 358000060560 477333414080 716000121120 1432000242240