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145140041541 = 31157713195779
BaseRepresentation
bin1000011100101100000…
…1010100011101000101
3111212122001121001012010
42013023001110131011
54334221322312131
6150402034444433
713325463666105
oct2071301243505
9455561531163
10145140041541
115660a851460
1224167133719
13108c0743ab1
14704c145205
153b970dbb46
hex21cb054745

145140041541 has 32 divisors (see below), whose sum is σ = 211675622400. Its totient is φ = 87729454080.

The previous prime is 145140041537. The next prime is 145140041549.

145140041541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145140041541 - 22 = 145140041537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145140041499 and 145140041508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145140041549) 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, 25112190 + ... + 25117968.

It is an arithmetic number, because the mean of its divisors is an integer number (6614863200).

Almost surely, 2145140041541 is an apocalyptic number.

145140041541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145140041541 is a deficient number, since it is larger than the sum of its proper divisors (66535580859).

145140041541 is a wasteful number, since it uses less digits than its factorization.

145140041541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7689.

The product of its (nonzero) digits is 6400, while the sum is 30.

It can be divided in two parts, 1451400 and 41541, that added together give a palindrome (1492941).

The spelling of 145140041541 in words is "one hundred forty-five billion, one hundred forty million, forty-one thousand, five hundred forty-one".

Divisors: 1 3 11 33 577 1319 1731 3957 5779 6347 14509 17337 19041 43527 63569 190707 761063 2283189 3334483 7622501 8371693 10003449 22867503 25115079 36679313 83847511 110037939 251542533 4398183077 13194549231 48380013847 145140041541