Search a number
-
+
1435241550405 = 3513294094191481
BaseRepresentation
bin10100111000101011000…
…100000001001001000101
312002012121110012001021110
4110320223010001021011
5142003333314103110
63015201343235233
7205456423613655
oct24705304011105
95065543161243
101435241550405
11503756490763
121b21ab5a8b19
13a545bba2290
144d674c32365
1527502005a20
hex14e2b101245

1435241550405 has 128 divisors (see below), whose sum is σ = 2572420032000. Its totient is φ = 678464962560.

The previous prime is 1435241550341. The next prime is 1435241550419. The reversal of 1435241550405 is 5040551425341.

It is not a de Polignac number, because 1435241550405 - 26 = 1435241550341 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 969102265 + ... + 969103745.

It is an arithmetic number, because the mean of its divisors is an integer number (20097031500).

Almost surely, 21435241550405 is an apocalyptic number.

1435241550405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1435241550405 is a deficient number, since it is larger than the sum of its proper divisors (1137178481595).

1435241550405 is a wasteful number, since it uses less digits than its factorization.

1435241550405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359.

The product of its (nonzero) digits is 240000, while the sum is 39.

Adding to 1435241550405 its reverse (5040551425341), we get a palindrome (6475792975746).

The spelling of 1435241550405 in words is "one trillion, four hundred thirty-five billion, two hundred forty-one million, five hundred fifty thousand, four hundred five".

Divisors: 1 3 5 13 15 29 39 65 87 145 195 377 409 419 435 1131 1227 1257 1481 1885 2045 2095 4443 5317 5447 5655 6135 6285 7405 11861 12151 15951 16341 19253 22215 26585 27235 35583 36453 42949 57759 59305 60755 79755 81705 96265 128847 154193 157963 171371 177915 182265 214745 288795 462579 473889 514113 558337 605729 620539 644235 770965 789815 856855 1675011 1817187 1861617 2227823 2312895 2369445 2570565 2791685 3028645 3102695 4969759 6683469 7874477 8067007 8375055 9085935 9308085 11139115 14909277 17566141 17995631 23623431 24201021 24848795 33417345 39372385 40335035 52698423 53986893 64606867 74546385 87830705 89978155 118117155 121005105 193820601 228359833 233943203 253800451 263492115 269934465 323034335 685079499 701829609 761401353 969103005 1141799165 1169716015 1269002255 3299405863 3425397495 3509148045 3807006765 7360213079 9898217589 16497029315 22080639237 36801065395 49491087945 95682770027 110403196185 287048310081 478413850135 1435241550405