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141135441413145 = 354171149147114747
BaseRepresentation
bin100000000101110010100111…
…110110011100010000011001
3200111201102020120120122021020
4200011302213312130100121
5121444330341000210040
61220100420545033053
741504461544043534
oct4005624766342031
9614642216518236
10141135441413145
1140a74228314523
12139b4bb1925789
13609a026cc0a4a
1426bcdc5765a1b
15114b3cb661cd0
hex805ca7d9c419

141135441413145 has 128 divisors (see below), whose sum is σ = 236333467238400. Its totient is φ = 71862330624000.

The previous prime is 141135441413129. The next prime is 141135441413191. The reversal of 141135441413145 is 541314144531141.

It is not a de Polignac number, because 141135441413145 - 24 = 141135441413129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 141135441413097 and 141135441413106.

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, 9570443662 + ... + 9570458408.

It is an arithmetic number, because the mean of its divisors is an integer number (1846355212800).

Almost surely, 2141135441413145 is an apocalyptic number.

141135441413145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141135441413145 is a deficient number, since it is larger than the sum of its proper divisors (95198025825255).

141135441413145 is a wasteful number, since it uses less digits than its factorization.

141135441413145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16487.

The product of its digits is 230400, while the sum is 42.

Adding to 141135441413145 its reverse (541314144531141), we get a palindrome (682449585944286).

The spelling of 141135441413145 in words is "one hundred forty-one trillion, one hundred thirty-five billion, four hundred forty-one million, four hundred thirteen thousand, one hundred forty-five".

Divisors: 1 3 5 15 41 71 123 149 205 213 355 447 615 745 1065 1471 2235 2911 4413 6109 7355 8733 10579 14555 14747 18327 22065 30545 31737 43665 44241 52895 60311 73735 91635 104441 158685 180933 219179 221205 301555 313323 433739 522205 604627 657537 904665 1047037 1095895 1301217 1566615 1813881 2168695 2197303 3023135 3141111 3287685 4282081 5235185 6506085 6591909 8986339 9069405 10986515 12846243 15561709 15705555 21410405 21692837 26959017 32959545 42928517 44931695 46685127 64231215 65078511 77808545 90089423 108464185 128785551 134795085 156008513 214642585 233425635 270268269 325392555 450447115 468025539 638030069 643927755 780042565 889406317 1351341345 1540191427 1914090207 2340127695 2668218951 3190150345 3232232713 4447031585 4620574281 6396349033 7700957135 9570451035 9696698139 13341094755 16161163565 19189047099 23102871405 31981745165 48483490695 63147848507 95945235495 132521541233 189443545521 229488522623 315739242535 397564623699 662607706165 688465567869 947217727605 1147442613115 1987823118495 3442327839345 9409029427543 28227088282629 47045147137715 141135441413145