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244505305132 = 221153719111621
BaseRepresentation
bin1110001110110110100…
…1101110000000101100
3212101002222212102202221
43203231221232000230
513001221324231012
6304154005125124
723444032542124
oct3435551560054
9771088772687
10244505305132
119476a963710
123b4783b97a4
131a0978b4b5a
14bb96b79c84
156560746507
hex38eda6e02c

244505305132 has 96 divisors (see below), whose sum is σ = 483115788288. Its totient is φ = 107321760000.

The previous prime is 244505305127. The next prime is 244505305147. The reversal of 244505305132 is 231503505442.

244505305132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150835282 + ... + 150836902.

It is an arithmetic number, because the mean of its divisors is an integer number (5032456128).

Almost surely, 2244505305132 is an apocalyptic number.

244505305132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

244505305132 is a deficient number, since it is larger than the sum of its proper divisors (238610483156).

244505305132 is a wasteful number, since it uses less digits than its factorization.

244505305132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 244505305132 in words is "two hundred forty-four billion, five hundred five million, three hundred five thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 44 53 71 106 142 212 284 583 781 911 1166 1562 1621 1822 2332 3124 3242 3644 3763 6484 7526 10021 15052 17831 20042 35662 40084 41393 48283 64681 71324 82786 85913 96566 115091 129362 165572 171826 193132 230182 258724 343652 460364 531113 711491 945043 1062226 1266001 1422982 1476731 1890086 2124452 2532002 2845964 2953462 3428093 3780172 5064004 5906924 6099823 6856186 12199646 13712372 16244041 24399292 32488082 37709023 64976164 67098053 75418046 78266743 104847901 134196106 150836092 156533486 209695802 268392212 313066972 419391604 860934173 1153326911 1721868346 2306653822 3443736692 4613307644 5556938753 11113877506 22227755012 61126326283 122252652566 244505305132