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412324140200 = 235272910155767
BaseRepresentation
bin1100000000000000110…
…11110001010010101000
31110102021120121120002212
412000000123301102220
523223414434441300
6513230305144252
741534530235630
oct6000033612250
91412246546085
10412324140200
11149958256335
1267ab262b088
132cb609a36ab
1415d56c796c0
15aad3845935
hex60006f14a8

412324140200 has 96 divisors (see below), whose sum is σ = 1133383708800. Its totient is φ = 136493495040.

The previous prime is 412324140187. The next prime is 412324140223. The reversal of 412324140200 is 2041423214.

It is a super-2 number, since 2×4123241402002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5037284 + ... + 5118483.

It is an arithmetic number, because the mean of its divisors is an integer number (11806080300).

Almost surely, 2412324140200 is an apocalyptic number.

412324140200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412324140200 is an abundant number, since it is smaller than the sum of its proper divisors (721059568600).

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

412324140200 is a wasteful number, since it uses less digits than its factorization.

412324140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10155819 (or 10155810 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 412324140200 its reverse (2041423214), we get a palindrome (414365563414).

The spelling of 412324140200 in words is "four hundred twelve billion, three hundred twenty-four million, one hundred forty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 29 35 40 50 56 58 70 100 116 140 145 175 200 203 232 280 290 350 406 580 700 725 812 1015 1160 1400 1450 1624 2030 2900 4060 5075 5800 8120 10150 20300 40600 10155767 20311534 40623068 50778835 71090369 81246136 101557670 142180738 203115340 253894175 284361476 294517243 355451845 406230680 507788350 568722952 589034486 710903690 1015576700 1178068972 1421807380 1472586215 1777259225 2031153400 2061620701 2356137944 2843614760 2945172430 3554518450 4123241402 5890344860 7109036900 7362931075 8246482804 10308103505 11780689720 14218073800 14725862150 16492965608 20616207010 29451724300 41232414020 51540517525 58903448600 82464828040 103081035050 206162070100 412324140200