Search a number
-
+
402401124300120 = 2335111032959702297
BaseRepresentation
bin101101101111110110101000…
…0000100100011010101011000
31221202210011122020020200220220
41123133231100010203111120
5410220420000310100440
63543500305141520040
7150521343662503341
oct13337552004432530
91852704566220826
10402401124300120
111072433a4101130
123917004a413020
131436c35632b8aa
1471524657230c8
15317c59b58a8d0
hex16dfb50123558

402401124300120 has 128 divisors (see below), whose sum is σ = 1329735048445440. Its totient is φ = 96604682941440.

The previous prime is 402401124300079. The next prime is 402401124300169. The reversal of 402401124300120 is 21003421104204.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1479715189 + ... + 1479987108.

It is an arithmetic number, because the mean of its divisors is an integer number (10388555065980).

Almost surely, 2402401124300120 is an apocalyptic number.

402401124300120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402401124300120 is an abundant number, since it is smaller than the sum of its proper divisors (927333924145320).

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

402401124300120 is a wasteful number, since it uses less digits than its factorization.

402401124300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959702425 (or 2959702421 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 402401124300120 its reverse (21003421104204), we get a palindrome (423404545404324).

The spelling of 402401124300120 in words is "four hundred two trillion, four hundred one billion, one hundred twenty-four million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 103 110 120 132 165 206 220 264 309 330 412 440 515 618 660 824 1030 1133 1236 1320 1545 2060 2266 2472 3090 3399 4120 4532 5665 6180 6798 9064 11330 12360 13596 16995 22660 27192 33990 45320 67980 135960 2959702297 5919404594 8879106891 11838809188 14798511485 17758213782 23677618376 29597022970 32556725267 35516427564 44395534455 59194045940 65113450534 71032855128 88791068910 97670175801 118388091880 130226901068 162783626335 177582137820 195340351602 260453802136 304849336591 325567252670 355164275640 390680703204 488350879005 609698673182 651134505340 781361406408 914548009773 976701758010 1219397346364 1302269010680 1524246682955 1829096019546 1953403516020 2438794692728 3048493365910 3353342702501 3658192039092 3906807032040 4572740048865 6096986731820 6706685405002 7316384078184 9145480097730 10060028107503 12193973463640 13413370810004 16766713512505 18290960195460 20120056215006 26826741620008 33533427025010 36581920390920 40240112430012 50300140537515 67066854050020 80480224860024 100600281075030 134133708100040 201200562150060 402401124300120