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541245542145 = 35711468610859
BaseRepresentation
bin1111110000001001011…
…11111000111100000001
31220202001022222100100120
413320010233320330001
532331432324322040
61052351134210453
754050366125350
oct7700457707401
91822038870316
10541245542145
111995a4aa8810
1288a92053a29
133c06827bb09
141c2a6db7997
15e12bb4e7d0
hex7e04bf8f01

541245542145 has 32 divisors (see below), whose sum is σ = 1079679421440. Its totient is φ = 224933211840.

The previous prime is 541245542143. The next prime is 541245542147.

541245542145 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (541245542143) and next prime (541245542147).

It is not a de Polignac number, because 541245542145 - 21 = 541245542143 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 541245542097 and 541245542106.

It is not an unprimeable number, because it can be changed into a prime (541245542143) 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, 234304275 + ... + 234306584.

It is an arithmetic number, because the mean of its divisors is an integer number (33739981920).

Almost surely, 2541245542145 is an apocalyptic number.

541245542145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541245542145 is a deficient number, since it is larger than the sum of its proper divisors (538433879295).

541245542145 is a wasteful number, since it uses less digits than its factorization.

541245542145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468610885.

The product of its digits is 640000, while the sum is 42.

The spelling of 541245542145 in words is "five hundred forty-one billion, two hundred forty-five million, five hundred forty-two thousand, one hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1155 468610859 1405832577 2343054295 3280276013 5154719449 7029162885 9840828039 15464158347 16401380065 25773597245 36083036143 49204140195 77320791735 108249108429 180415180715 541245542145