Search a number
-
+
4242121544100 = 22352112840345259
BaseRepresentation
bin111101101110110010001…
…001011101000110100100
3120000112122202002112022110
4331232302021131012210
51024000331103402400
613004445335001020
7615324504114516
oct75566211350644
916015582075273
104242121544100
11139608a024340
12586199b09170
1324a05188c1ab
14109469685bb6
15755322d6e50
hex3dbb225d1a4

4242121544100 has 144 divisors (see below), whose sum is σ = 13390445456640. Its totient is φ = 1028334172800.

The previous prime is 4242121544053. The next prime is 4242121544159. The reversal of 4242121544100 is 14451212424.

It is a super-3 number, since 3×42421215441003 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93707271 + ... + 93752529.

It is an arithmetic number, because the mean of its divisors is an integer number (92989204560).

Almost surely, 24242121544100 is an apocalyptic number.

It is an amenable number.

4242121544100 is an abundant number, since it is smaller than the sum of its proper divisors (9148323912540).

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

4242121544100 is a wasteful number, since it uses less digits than its factorization.

4242121544100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73690 (or 73683 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 4242121544100 its reverse (14451212424), we get a palindrome (4256572756524).

The spelling of 4242121544100 in words is "four trillion, two hundred forty-two billion, one hundred twenty-one million, five hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 28403 45259 56806 85209 90518 113612 135777 142015 170418 181036 226295 271554 284030 312433 340836 426045 452590 497849 543108 568060 624866 678885 710075 852090 905180 937299 995698 1131475 1249732 1357770 1420150 1493547 1562165 1704180 1874598 1991396 2130225 2262950 2489245 2715540 2840300 2987094 3124330 3394425 3749196 4260450 4525900 4686495 4978490 5974188 6248660 6788850 7467735 7810825 8520900 9372990 9956980 12446225 13577700 14935470 15621650 18745980 23432475 24892450 29870940 31243300 37338675 46864950 49784900 74677350 93729900 149354700 1285491377 2570982754 3856474131 5141965508 6427456885 7712948262 12854913770 14140405147 15425896524 19282370655 25709827540 28280810294 32137284425 38564741310 42421215441 56561620588 64274568850 70702025735 77129482620 84842430882 96411853275 128549137700 141404051470 169684861764 192823706550 212106077205 282808102940 353510128675 385647413100 424212154410 707020257350 848424308820 1060530386025 1414040514700 2121060772050 4242121544100