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145202541 = 31121937569
BaseRepresentation
bin10001010011110…
…01110101101101
3101010020001102220
420221321311231
5244132440131
622224105553
73412126011
oct1051716555
9333201386
10145202541
1174a65900
12407652b9
132410c383
14153da541
15cb32e96
hex8a79d6d

145202541 has 48 divisors (see below), whose sum is σ = 230462400. Its totient is φ = 80974080.

The previous prime is 145202471. The next prime is 145202557.

145202541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145202541 - 27 = 145202413 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145202581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254905 + ... + 255473.

It is an arithmetic number, because the mean of its divisors is an integer number (4801300).

Almost surely, 2145202541 is an apocalyptic number.

145202541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145202541 is a deficient number, since it is larger than the sum of its proper divisors (85259859).

145202541 is a wasteful number, since it uses less digits than its factorization.

145202541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 145202541 is about 12050.0017012447. The cubic root of 145202541 is about 525.6032865329.

The spelling of 145202541 in words is "one hundred forty-five million, two hundred two thousand, five hundred forty-one".

Divisors: 1 3 11 19 33 37 57 111 121 209 363 407 569 627 703 1221 1707 2109 2299 4477 6259 6897 7733 10811 13431 18777 21053 23199 32433 63159 68849 85063 118921 206547 231583 255189 356763 400007 694749 1200021 1308131 2547413 3924393 4400077 7642239 13200231 48400847 145202541