Search a number
-
+
4227670385040 = 2435137449286367
BaseRepresentation
bin111101100001010100110…
…010101010000110010000
3112222011100121200120212010
4331201110302222012100
51023231232104310130
612554055344302520
7614303420231454
oct75412462520620
915864317616763
104227670385040
11138aa43798683
12583426311a40
1324888a968bbb
141088982cc664
1574e887870b0
hex3d854caa190

4227670385040 has 160 divisors (see below), whose sum is σ = 13230888883200. Its totient is φ = 1116653289472.

The previous prime is 4227670385039. The next prime is 4227670385051. The reversal of 4227670385040 is 405830767224.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 14619937 + ... + 14906303.

It is an arithmetic number, because the mean of its divisors is an integer number (82693055520).

Almost surely, 24227670385040 is an apocalyptic number.

4227670385040 is a gapful number since it is divisible by the number (40) 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 4227670385040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6615444441600).

4227670385040 is an abundant number, since it is smaller than the sum of its proper divisors (9003218498160).

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

4227670385040 is a wasteful number, since it uses less digits than its factorization.

4227670385040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286969 (or 286963 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 4227670385040 in words is "four trillion, two hundred twenty-seven billion, six hundred seventy million, three hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 449 548 685 822 898 1096 1347 1370 1644 1796 2055 2192 2245 2694 2740 3288 3592 4110 4490 5388 5480 6576 6735 7184 8220 8980 10776 10960 13470 16440 17960 21552 26940 32880 35920 53880 61513 107760 123026 184539 246052 286367 307565 369078 492104 572734 615130 738156 859101 922695 984208 1145468 1230260 1431835 1476312 1718202 1845390 2290936 2460520 2863670 2952624 3436404 3690780 4295505 4581872 4921040 5727340 6872808 7381560 8591010 11454680 13745616 14763120 17182020 22909360 34364040 39232279 68728080 78464558 117696837 128578783 156929116 196161395 235393674 257157566 313858232 385736349 392322790 470787348 514315132 588484185 627716464 642893915 771472698 784645580 941574696 1028630264 1176968370 1285787830 1542945396 1569291160 1883149392 1928681745 2057260528 2353936740 2571575660 3085890792 3138582320 3857363490 4707873480 5143151320 6171781584 7714726980 9415746960 10286302640 15429453960 17615293271 30858907920 35230586542 52845879813 70461173084 88076466355 105691759626 140922346168 176152932710 211383519252 264229399065 281844692336 352305865420 422767038504 528458798130 704611730840 845534077008 1056917596260 1409223461680 2113835192520 4227670385040