Search a number
-
+
201432040320 = 2735714987503
BaseRepresentation
bin1011101110011001001…
…0010000001110000000
3201020221010220212111210
42323212102100032000
511300013100242240
6232311523410120
720360450043450
oct2734622201600
9636833825453
10201432040320
11784771542a5
1233057223940
1315cc1c08504
149a6c373d60
15538e047780
hex2ee6490380

201432040320 has 128 divisors (see below), whose sum is σ = 733788195840. Its totient is φ = 46041606144.

The previous prime is 201432040297. The next prime is 201432040349. The reversal of 201432040320 is 23040234102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7480312 + ... + 7507191.

It is an arithmetic number, because the mean of its divisors is an integer number (5732720280).

Almost surely, 2201432040320 is an apocalyptic number.

201432040320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201432040320 is an abundant number, since it is smaller than the sum of its proper divisors (532356155520).

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

201432040320 is a wasteful number, since it uses less digits than its factorization.

201432040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14987532 (or 14987520 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 201432040320 its reverse (23040234102), we get a palindrome (224472274422).

The spelling of 201432040320 in words is "two hundred one billion, four hundred thirty-two million, forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 14987503 29975006 44962509 59950012 74937515 89925018 104912521 119900024 149875030 179850036 209825042 224812545 239800048 299750060 314737563 359700072 419650084 449625090 479600096 524562605 599500120 629475126 719400144 839300168 899250180 959200192 1049125210 1199000240 1258950252 1438800288 1573687815 1678600336 1798500360 1918400384 2098250420 2398000480 2517900504 2877600576 3147375630 3357200672 3597000720 4196500840 4796000960 5035801008 5755201152 6294751260 6714401344 7194001440 8393001680 9592001920 10071602016 12589502520 13428802688 14388002880 16786003360 20143204032 25179005040 28776005760 33572006720 40286408064 50358010080 67144013440 100716020160 201432040320