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244295806680 = 233352243100847
BaseRepresentation
bin1110001110000100101…
…0100010111011011000
3212100120101122210221000
43203201022202323120
513000304211303210
6304121122545000
723435610044352
oct3434112427330
9770511583830
10244295806680
11946726833a2
123b41a208160
131a063383383
14bb770040d2
15654c162ac0
hex38e12a2ed8

244295806680 has 128 divisors (see below), whose sum is σ = 814690483200. Its totient is φ = 65115858816.

The previous prime is 244295806633. The next prime is 244295806753. The reversal of 244295806680 is 86608592442.

244295806680 is a `hidden beast` number, since 2 + 4 + 429 + 5 + 80 + 66 + 80 = 666.

244295806680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2442958066802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2372017 + ... + 2472863.

It is an arithmetic number, because the mean of its divisors is an integer number (6364769400).

Almost surely, 2244295806680 is an apocalyptic number.

244295806680 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 244295806680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407345241600).

244295806680 is an abundant number, since it is smaller than the sum of its proper divisors (570394676520).

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

244295806680 is a wasteful number, since it uses less digits than its factorization.

244295806680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103110 (or 103100 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 244295806680 in words is "two hundred forty-four billion, two hundred ninety-five million, eight hundred six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2243 4486 6729 8972 11215 13458 17944 20187 22430 26916 33645 40374 44860 53832 60561 67290 80748 89720 100847 100935 121122 134580 161496 201694 201870 242244 269160 302541 302805 403388 403740 484488 504235 605082 605610 806776 807480 907623 1008470 1210164 1211220 1512705 1815246 2016940 2420328 2422440 2722869 3025410 3630492 4033880 4538115 5445738 6050820 7260984 9076230 10891476 12101640 13614345 18152460 21782952 27228690 36304920 54457380 108914760 226199821 452399642 678599463 904799284 1130999105 1357198926 1809598568 2035798389 2261998210 2714397852 3392997315 4071596778 4523996420 5428795704 6107395167 6785994630 8143193556 9047992840 10178991945 12214790334 13571989260 16286387112 20357983890 24429580668 27143978520 30536975835 40715967780 48859161336 61073951670 81431935560 122147903340 244295806680