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541235532145 = 572111011988411
BaseRepresentation
bin1111110000001000010…
…01101101000101110001
31220202000122010210012211
413320010021231011301
532331422244012040
61052350135452121
754050215054600
oct7700411550561
91822018123184
10541235532145
1119959a391090
1288a8a827041
133c066185839
141c2a592da37
15e12ad238ea
hex7e0426d171

541235532145 has 48 divisors (see below), whose sum is σ = 832365170496. Its totient is φ = 334052880000.

The previous prime is 541235532139. The next prime is 541235532221.

541235532145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541235532145 - 25 = 541235532113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 541235532098 and 541235532107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 722011 + ... + 1266400.

It is an arithmetic number, because the mean of its divisors is an integer number (17340941052).

Almost surely, 2541235532145 is an apocalyptic number.

541235532145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541235532145 is a deficient number, since it is larger than the sum of its proper divisors (291129638351).

541235532145 is a wasteful number, since it uses less digits than its factorization.

541235532145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988542 (or 1988535 counting only the distinct ones).

The product of its digits is 360000, while the sum is 40.

The spelling of 541235532145 in words is "five hundred forty-one billion, two hundred thirty-five million, five hundred thirty-two thousand, one hundred forty-five".

Divisors: 1 5 7 11 35 49 55 77 101 245 385 505 539 707 1111 2695 3535 4949 5555 7777 24745 38885 54439 272195 1988411 9942055 13918877 21872521 69594385 97432139 109362605 153107647 200829511 487160695 765538235 1004147555 1071753529 1405806577 2209124621 5358767645 7029032885 9840646039 11045623105 15463872347 49203230195 77319361735 108247106429 541235532145