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32424324141144 = 233132338311797493
BaseRepresentation
bin1110101111101011000000…
…10100101001000001011000
311020210201211220021101012110
413113311200110221001120
513222220003440004034
6152543310123112320
76554402656522545
oct727654024510130
9136721756241173
1032424324141144
11a37109574a521
1237780746726a0
1315127a680c080
148014ba6d3bcc
153b366ed6cde9
hex1d7d60529058

32424324141144 has 128 divisors (see below), whose sum is σ = 91329591951360. Its totient is φ = 9518027785728.

The previous prime is 32424324141137. The next prime is 32424324141149. The reversal of 32424324141144 is 44114142342423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32424324141149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3150339 + ... + 8647154.

It is an arithmetic number, because the mean of its divisors is an integer number (713512437120).

Almost surely, 232424324141144 is an apocalyptic number.

It is an amenable number.

32424324141144 is an abundant number, since it is smaller than the sum of its proper divisors (58905267810216).

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

32424324141144 is a wasteful number, since it uses less digits than its factorization.

32424324141144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11797921 (or 11797917 counting only the distinct ones).

The product of its digits is 294912, while the sum is 39.

Adding to 32424324141144 its reverse (44114142342423), we get a palindrome (76538466483567).

The spelling of 32424324141144 in words is "thirty-two trillion, four hundred twenty-four billion, three hundred twenty-four million, one hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 383 552 598 766 897 1149 1196 1532 1794 2298 2392 3064 3588 4596 4979 7176 8809 9192 9958 14937 17618 19916 26427 29874 35236 39832 52854 59748 70472 105708 114517 119496 211416 229034 343551 458068 687102 916136 1374204 2748408 11797493 23594986 35392479 47189972 70784958 94379944 141569916 153367409 271342339 283139832 306734818 460102227 542684678 613469636 814027017 920204454 1085369356 1226939272 1628054034 1840408908 2170738712 3256108068 3527450407 3680817816 4518439819 6512216136 7054900814 9036879638 10582351221 13555319457 14109801628 18073759276 21164702442 27110638914 28219603256 36147518552 42329404884 54221277828 58739717647 84658809768 103924115837 108442555656 117479435294 176219152941 207848231674 234958870588 311772347511 352438305882 415696463348 469917741176 623544695022 704876611764 831392926696 1247089390044 1351013505881 1409753223528 2494178780088 2702027011762 4053040517643 5404054023524 8106081035286 10808108047048 16212162070572 32424324141144