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244345504224 = 25319731835087
BaseRepresentation
bin1110001110010000100…
…0001000000111100000
3212100200212011201010210
43203210020020013200
513000404422113344
6304130100054120
723440052342223
oct3434410100740
9770625151123
10244345504224
1194698737948
123b432994340
131a070763bc3
14bb7d85d5ba
1565516ccdb9
hex38e42081e0

244345504224 has 96 divisors (see below), whose sum is σ = 684414420480. Its totient is φ = 76104686592.

The previous prime is 244345504181. The next prime is 244345504253. The reversal of 244345504224 is 422405543442.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784392 + ... + 1050695.

It is an arithmetic number, because the mean of its divisors is an integer number (7129316880).

Almost surely, 2244345504224 is an apocalyptic number.

244345504224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

244345504224 is an abundant number, since it is smaller than the sum of its proper divisors (440068916256).

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

244345504224 is a wasteful number, since it uses less digits than its factorization.

244345504224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835192 (or 1835184 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 39.

The spelling of 244345504224 in words is "two hundred forty-four billion, three hundred forty-five million, five hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 73 76 96 114 146 152 219 228 292 304 438 456 584 608 876 912 1168 1387 1752 1824 2336 2774 3504 4161 5548 7008 8322 11096 16644 22192 33288 44384 66576 133152 1835087 3670174 5505261 7340348 11010522 14680696 22021044 29361392 34866653 44042088 58722784 69733306 88084176 104599959 133961351 139466612 176168352 209199918 267922702 278933224 401884053 418399836 535845404 557866448 803768106 836799672 1071690808 1115732896 1607536212 1673599344 2143381616 2545265669 3215072424 3347198688 4286763232 5090531338 6430144848 7635797007 10181062676 12860289696 15271594014 20362125352 30543188028 40724250704 61086376056 81448501408 122172752112 244345504224