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445141141544 = 2311172910260491
BaseRepresentation
bin1100111101001000111…
…10101100100000101000
31120112222122120221212002
412132210132230200220
524243122113012134
6540254531310132
744106004162451
oct6364436544050
91515878527762
10445141141544
1116186862a150
1272330a4b348
1332c90869298
141778b492128
15b8a491687e
hex67a47ac828

445141141544 has 64 divisors (see below), whose sum is σ = 997319822400. Its totient is φ = 183867980800.

The previous prime is 445141141519. The next prime is 445141141589.

445141141544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445141141498 and 445141141507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5086862 + ... + 5173629.

It is an arithmetic number, because the mean of its divisors is an integer number (15583122225).

Almost surely, 2445141141544 is an apocalyptic number.

445141141544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

445141141544 is an abundant number, since it is smaller than the sum of its proper divisors (552178680856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

445141141544 is a wasteful number, since it uses less digits than its factorization.

445141141544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10260554 (or 10260550 counting only the distinct ones).

The product of its digits is 102400, while the sum is 38.

It can be divided in two parts, 445141 and 141544, that added together give a palindrome (586685).

The spelling of 445141141544 in words is "four hundred forty-five billion, one hundred forty-one million, one hundred forty-one thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 17 22 29 34 44 58 68 88 116 136 187 232 319 374 493 638 748 986 1276 1496 1972 2552 3944 5423 10846 21692 43384 10260491 20520982 41041964 82083928 112865401 174428347 225730802 297554239 348856694 451461604 595108478 697713388 902923208 1190216956 1395426776 1918711817 2380433912 3273096629 3837423634 5058422063 6546193258 7674847268 10116844126 13092386516 15349694536 20233688252 26184773032 40467376504 55642642693 111285285386 222570570772 445141141544