Search a number
-
+
4234300330400 = 255271866140519
BaseRepresentation
bin111101100111011111111…
…101111001000110100000
3112222210110200002201002222
4331213133331321012200
51023333321341033100
613001113303130212
7614626623646310
oct75473775710640
915883420081088
104234300330400
11139283616a768
12584776743968
132493a63b66aa
14108d26a3b440
1575225855485
hex3d9dff791a0

4234300330400 has 144 divisors (see below), whose sum is σ = 11814622565760. Its totient is φ = 1451646489600.

The previous prime is 4234300330397. The next prime is 4234300330417. The reversal of 4234300330400 is 40330034324.

It is a self number, because there is not a number n which added to its sum of digits gives 4234300330400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104481341 + ... + 104521859.

It is an arithmetic number, because the mean of its divisors is an integer number (82045990040).

Almost surely, 24234300330400 is an apocalyptic number.

4234300330400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4234300330400 is an abundant number, since it is smaller than the sum of its proper divisors (7580322235360).

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

4234300330400 is a wasteful number, since it uses less digits than its factorization.

4234300330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59207 (or 59194 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 4234300330400 its reverse (40330034324), we get a palindrome (4274630364724).

The spelling of 4234300330400 in words is "four trillion, two hundred thirty-four billion, three hundred million, three hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 18661 37322 40519 74644 81038 93305 130627 149288 162076 186610 202595 261254 283633 298576 324152 373220 405190 466525 522508 567266 597152 648304 653135 746440 810380 933050 1012975 1045016 1134532 1296608 1306270 1418165 1492880 1620760 1866100 2025950 2090032 2269064 2612540 2836330 2985760 3241520 3265675 3732200 4051900 4180064 4538128 5225080 5672660 6483040 6531350 7090825 7464400 8103800 9076256 10450160 11345320 13062700 14181650 14928800 16207600 20900320 22690640 26125400 28363300 32415200 45381280 52250800 56726600 104501600 113453200 226906400 756125059 1512250118 3024500236 3780625295 5292875413 6049000472 7561250590 10585750826 12098000944 15122501180 18903126475 21171501652 24196001888 26464377065 30245002360 37806252950 42343003304 52928754130 60490004720 75612505900 84686006608 105857508260 120980009440 132321885325 151225011800 169372013216 211715016520 264643770650 302450023600 423430033040 529287541300 604900047200 846860066080 1058575082600 2117150165200 4234300330400