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145245363542541 = 3341197666021779
BaseRepresentation
bin100001000001100110010010…
…010011001001101000001101
3201001021022200010011002012000
4201001212102103021220031
5123014200001031330131
61232524444315502513
742410426336533263
oct4101462223115015
9631238603132160
10145245363542541
11423092381a9929
1214359636457a39
13630776b1202a2
1427c1cad7b8433
1511bd272981ce6
hex8419924c9a0d

145245363542541 has 32 divisors (see below), whose sum is σ = 221545484899200. Its totient is φ = 93988993311360.

The previous prime is 145245363542527. The next prime is 145245363542603.

145245363542541 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 4 + 5 + 36 + 354 + 254 + 1 = 666.

145245363542541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145245363542541 - 210 = 145245363541517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145245363541541) 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, 332792811 + ... + 333228968.

It is an arithmetic number, because the mean of its divisors is an integer number (6923296403100).

Almost surely, 2145245363542541 is an apocalyptic number.

It is an amenable number.

145245363542541 is a deficient number, since it is larger than the sum of its proper divisors (76300121356659).

145245363542541 is a wasteful number, since it uses less digits than its factorization.

145245363542541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666022026 (or 666022020 counting only the distinct ones).

The product of its digits is 34560000, while the sum is 54.

The spelling of 145245363542541 in words is "one hundred forty-five trillion, two hundred forty-five billion, three hundred sixty-three million, five hundred forty-two thousand, five hundred forty-one".

Divisors: 1 3 9 27 41 123 197 369 591 1107 1773 5319 8077 24231 72693 218079 666021779 1998065337 5994196011 17982588033 27306892939 81920678817 131206290463 245762036451 393618871389 737286109353 1180856614167 3542569842501 5379457908983 16138373726949 48415121180847 145245363542541