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40141110111432 = 23311937543129879
BaseRepresentation
bin10010010000010000101001…
…00110111110110011001000
312021010110012222111101122220
421020020110212332303020
520230132443142031212
6221212323231414040
711312046062151351
oct1110102446766310
9167113188441586
1040141110111432
11118768271aa380
124603748684320
1319523a113a915
149caba9318d28
1549926812038c
hex2482149becc8

40141110111432 has 128 divisors (see below), whose sum is σ = 109616438937600. Its totient is φ = 12148346995200.

The previous prime is 40141110111343. The next prime is 40141110111467. The reversal of 40141110111432 is 23411101114104.

It is a happy number.

It is a super-2 number, since 2×401411101114322 (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1343440669 + ... + 1343470547.

It is an arithmetic number, because the mean of its divisors is an integer number (856378429200).

Almost surely, 240141110111432 is an apocalyptic number.

It is an amenable number.

40141110111432 is an abundant number, since it is smaller than the sum of its proper divisors (69475328826168).

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

40141110111432 is a wasteful number, since it uses less digits than its factorization.

40141110111432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36267 (or 36263 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 40141110111432 its reverse (23411101114104), we get a palindrome (63552211225536).

The spelling of 40141110111432 in words is "forty trillion, one hundred forty-one billion, one hundred ten million, one hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 937 1874 2811 3748 5431 5622 7496 10307 10862 11244 16293 20614 21724 22488 29879 30921 32586 41228 43448 59741 59758 61842 65172 82456 89637 119482 119516 123684 130344 179223 179274 238964 239032 247368 328669 358446 358548 477928 657338 716892 717096 986007 1314676 1433784 1972014 2629352 3944028 5088847 7888056 10177694 15266541 20355388 27996623 30533082 40710776 55977317 55993246 61066164 83989869 111954634 111986492 122132328 162272849 167931951 167979738 223909268 223972984 307962853 324545698 335863902 335959476 447818536 486818547 615925706 649091396 671727804 671918952 923888559 973637094 1231851412 1298182792 1343455608 1785001339 1847777118 1947274188 2463702824 3570002678 3695554236 3894548376 5355004017 7140005356 7391108472 10710008034 14280010712 21420016068 42840032136 152049659513 304099319026 456148978539 608198638052 912297957078 1216397276104 1672546254643 1824595914156 3345092509286 3649191828312 5017638763929 6690185018572 10035277527858 13380370037144 20070555055716 40141110111432