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444513103014 = 2313119923312197
BaseRepresentation
bin1100111011111110000…
…10111010110010100110
31120111100212211021221210
412131333002322302212
524240330323244024
6540112334252250
744054310014361
oct6357702726246
91514325737853
10444513103014
11161576070542
1272196657086
1332bc0704456
141772bccb0d8
15b86970b129
hex677f0baca6

444513103014 has 64 divisors (see below), whose sum is σ = 904252377600. Its totient is φ = 145661218560.

The previous prime is 444513102991. The next prime is 444513103031. The reversal of 444513103014 is 410301315444.

It is a super-2 number, since 2×4445131030142 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 36438364 + ... + 36450560.

It is an arithmetic number, because the mean of its divisors is an integer number (14128943400).

Almost surely, 2444513103014 is an apocalyptic number.

444513103014 is an abundant number, since it is smaller than the sum of its proper divisors (459739274586).

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

444513103014 is a wasteful number, since it uses less digits than its factorization.

444513103014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12765.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 444513103014 its reverse (410301315444), we get a palindrome (854814418458).

The spelling of 444513103014 in words is "four hundred forty-four billion, five hundred thirteen million, one hundred three thousand, fourteen".

Divisors: 1 2 3 6 131 199 233 262 393 398 466 597 699 786 1194 1398 12197 24394 26069 30523 36591 46367 52138 61046 73182 78207 91569 92734 139101 156414 183138 278202 1597807 2427203 2841901 3195614 4793421 4854406 5683802 6074077 7281609 8525703 9586842 12148154 14563218 17051406 18222231 36444462 317963593 372289031 565538299 635927186 744578062 953890779 1116867093 1131076598 1696614897 1907781558 2233734186 3393229794 74085517169 148171034338 222256551507 444513103014