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145200204134041 = 71729312233187907
BaseRepresentation
bin100001000000111100001110…
…100101101011011010011001
3201001010000002212202102202211
4201000330032211223122121
5123012430004224242131
61232452015232555121
742404240263101220
oct4100741645533231
9631100085672684
10145200204134041
11422a1073965921
12143509326b2aa1
1363034221979b4
1427bda27cd1cb7
1511bbecd0565b1
hex840f0e96b699

145200204134041 has 96 divisors (see below), whose sum is σ = 188622771966720. Its totient is φ = 108978504929280.

The previous prime is 145200204134039. The next prime is 145200204134077. The reversal of 145200204134041 is 140431402002541.

It is a happy number.

It is not a de Polignac number, because 145200204134041 - 21 = 145200204134039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 145200204133994 and 145200204134012.

It is not an unprimeable number, because it can be changed into a prime (145200201134041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 772629810 + ... + 772817716.

It is an arithmetic number, because the mean of its divisors is an integer number (1964820541320).

Almost surely, 2145200204134041 is an apocalyptic number.

It is an amenable number.

145200204134041 is a deficient number, since it is larger than the sum of its proper divisors (43422567832679).

145200204134041 is a wasteful number, since it uses less digits than its factorization.

145200204134041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188255 (or 188224 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 145200204134041 its reverse (140431402002541), we get a palindrome (285631606136582).

The spelling of 145200204134041 in words is "one hundred forty-five trillion, two hundred billion, two hundred four million, one hundred thirty-four thousand, forty-one".

Divisors: 1 7 17 29 31 119 203 217 233 493 527 899 961 1631 3451 3689 3961 6293 6727 6757 7223 15283 16337 27727 27869 47299 50561 106981 114359 114869 122791 187907 195083 209467 223913 473773 804083 859537 1315349 1466269 1567391 3194419 3316411 3560939 3806521 5449303 5825117 6493477 22360933 24926573 26645647 38145121 40775819 43782331 45454339 92638151 99026989 110389109 168928393 180578627 306476317 648467057 693188923 744299627 772723763 1182498751 1264050389 1269687599 1357252261 2871782681 3069836659 5210097389 5236780183 8887813193 9500765827 20102478767 21488856613 21584689183 23073288437 36657461281 39360315569 42074820091 89025263111 151092824281 161513019059 275522208983 294523740637 623176841777 669125364673 715271941547 1220169782639 4683877552711 5006903590829 8541188478473 20742886304863 145200204134041