Search a number
-
+
422133520505400 = 2332521121319874773
BaseRepresentation
bin101111111111011011001111…
…0100010011001101000111000
32001100122120101211221220220100
41133332312132202121220320
5420312213422222133100
64053445243453555400
7154626066106021644
oct13776663642315070
92040576354856810
10422133520505400
11112560903366440
123b418379aa5b60
1315171035436462
14763552b1d9c24
1533c09dce13400
hex17fed9e899a38

422133520505400 has 144 divisors (see below), whose sum is σ = 1546543716105960. Its totient is φ = 102335398905600.

The previous prime is 422133520505399. The next prime is 422133520505401. The reversal of 422133520505400 is 4505025331224.

422133520505400 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 33 + 520 + 50 + 54 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (422133520505399) and next prime (422133520505401).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422133520505401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10659917587 + ... + 10659957186.

Almost surely, 2422133520505400 is an apocalyptic number.

422133520505400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422133520505400 is an abundant number, since it is smaller than the sum of its proper divisors (1124410195600560).

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

422133520505400 is a wasteful number, since it uses less digits than its factorization.

422133520505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21319874806 (or 21319874794 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 422133520505400 its reverse (4505025331224), we get a palindrome (426638545836624).

The spelling of 422133520505400 in words is "four hundred twenty-two trillion, one hundred thirty-three billion, five hundred twenty million, five hundred five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 21319874773 42639749546 63959624319 85279499092 106599373865 127919248638 170558998184 191878872957 213198747730 234518622503 255838497276 319798121595 383757745914 426397495460 469037245006 511676994552 532996869325 639596243190 703555867509 767515491828 852794990920 938074490012 959394364785 1065993738650 1172593112515 1279192486380 1407111735018 1535030983656 1598990607975 1876148980024 1918788729570 2110667602527 2131987477300 2345186225030 2558384972760 2814223470036 3197981215950 3517779337545 3837577459140 4221335205054 4263974954600 4690372450060 4796971823925 5628446940072 5862965562575 6395962431900 7035558675090 7675154918280 8442670410108 9380744900120 9593943647850 10553338012635 11725931125150 12791924863800 14071117350180 16885340820216 17588896687725 19187887295700 21106676025270 23451862250300 28142234700360 35177793375450 38375774591400 42213352050540 46903724500600 52766690063175 70355586750900 84426704101080 105533380126350 140711173501800 211066760252700 422133520505400