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242478994860 = 223253188748991
BaseRepresentation
bin1110000111010011011…
…1111101010110101100
3212011212210000012122100
43201310313331112230
512433044110313420
6303220542215100
723342566310034
oct3416467752654
9764783005570
10242478994860
1193920086823
123abb1884490
1319b33b580ab
14ba439d28c4
1564928d8190
hex3874dfd5ac

242478994860 has 144 divisors (see below), whose sum is σ = 760117542912. Its totient is φ = 62503401600.

The previous prime is 242478994847. The next prime is 242478994909. The reversal of 242478994860 is 68499874242.

242478994860 is a `hidden beast` number, since 24 + 2 + 47 + 8 + 99 + 486 + 0 = 666.

242478994860 is digitally balanced in base 3, 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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4924965 + ... + 4973955.

It is an arithmetic number, because the mean of its divisors is an integer number (5278594048).

Almost surely, 2242478994860 is an apocalyptic number.

242478994860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242478994860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380058771456).

242478994860 is an abundant number, since it is smaller than the sum of its proper divisors (517638548052).

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

242478994860 is a wasteful number, since it uses less digits than its factorization.

242478994860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49924 (or 49919 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 242478994860 in words is "two hundred forty-two billion, four hundred seventy-eight million, nine hundred ninety-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 887 930 1116 1395 1774 1860 2661 2790 3548 4435 5322 5580 7983 8870 10644 13305 15966 17740 26610 27497 31932 39915 48991 53220 54994 79830 82491 97982 109988 137485 146973 159660 164982 195964 244955 247473 274970 293946 329964 412455 440919 489910 494946 549940 587892 734865 824910 881838 979820 989892 1237365 1469730 1518721 1649820 1763676 2204595 2474730 2939460 3037442 4409190 4556163 4949460 6074884 7593605 8818380 9112326 13668489 15187210 18224652 22780815 27336978 30374420 43455017 45561630 54673956 68342445 86910034 91123260 130365051 136684890 173820068 217275085 260730102 273369780 391095153 434550170 521460204 651825255 782190306 869100340 1303650510 1347105527 1564380612 1955475765 2607301020 2694211054 3910951530 4041316581 5388422108 6735527635 7821903060 8082633162 12123949743 13471055270 16165266324 20206582905 24247899486 26942110540 40413165810 48495798972 60619748715 80826331620 121239497430 242478994860