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244534531120 = 245111914625271
BaseRepresentation
bin1110001110111101100…
…1001101010000110000
3212101012000212021021221
43203233121031100300
513001301314443440
6304200531354424
723444536135105
oct3435731152060
9771160767257
10244534531120
1194785405620
123b486152a14
131a0a0978739
14bb9a9c6aac
1565630bad4a
hex38ef64d430

244534531120 has 80 divisors (see below), whose sum is σ = 652872142080. Its totient is φ = 84241555200.

The previous prime is 244534531117. The next prime is 244534531169. The reversal of 244534531120 is 21135435442.

244534531120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 7295916 + ... + 7329355.

It is an arithmetic number, because the mean of its divisors is an integer number (8160901776).

Almost surely, 2244534531120 is an apocalyptic number.

244534531120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244534531120 is an abundant number, since it is smaller than the sum of its proper divisors (408337610960).

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

244534531120 is a wasteful number, since it uses less digits than its factorization.

244534531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14625314 (or 14625308 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 244534531120 its reverse (21135435442), we get a palindrome (265669966562).

The spelling of 244534531120 in words is "two hundred forty-four billion, five hundred thirty-four million, five hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 16720 14625271 29250542 58501084 73126355 117002168 146252710 160877981 234004336 277880149 292505420 321755962 555760298 585010840 643511924 804389905 1111520596 1170021680 1287023848 1389400745 1608779810 2223041192 2574047696 2778801490 3056681639 3217559620 4446082384 5557602980 6113363278 6435119240 11115205960 12226726556 12870238480 15283408195 22230411920 24453453112 30566816390 48906906224 61133632780 122267265560 244534531120