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145533335541 = 31119377578287
BaseRepresentation
bin1000011110001001110…
…1100111011111110101
3111220122110122110010120
42013202131213133311
54341023013214131
6150505044242153
713341310640616
oct2074235473765
9456573573116
10145533335541
11567a1857020
12242569a0359
1310954077c39
147088481c0d
153bbb8c8496
hex21e27677f5

145533335541 has 64 divisors (see below), whose sum is σ = 229178449920. Its totient is φ = 81184239360.

The previous prime is 145533335501. The next prime is 145533335569.

145533335541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145533335541 - 210 = 145533334517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145533335493 and 145533335502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145533335501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17557500 + ... + 17565786.

It is an arithmetic number, because the mean of its divisors is an integer number (3580913280).

Almost surely, 2145533335541 is an apocalyptic number.

145533335541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145533335541 is a deficient number, since it is larger than the sum of its proper divisors (83645114379).

145533335541 is a wasteful number, since it uses less digits than its factorization.

145533335541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9114.

The product of its digits is 810000, while the sum is 42.

The spelling of 145533335541 in words is "one hundred forty-five billion, five hundred thirty-three million, three hundred thirty-five thousand, five hundred forty-one".

Divisors: 1 3 11 19 33 37 57 111 209 407 627 703 757 1221 2109 2271 7733 8287 8327 14383 23199 24861 24981 28009 43149 84027 91157 157453 158213 273471 306619 308099 472359 474639 532171 919857 924297 1596513 1731983 3372809 5195949 5825761 5853881 6273259 10118427 17477283 17561643 18819777 64083371 69005849 119191921 192250113 207017547 232110583 357575763 696331749 1311111131 2553216413 3933333393 4410101077 7659649239 13230303231 48511111847 145533335541