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412144422040 = 235135231151517
BaseRepresentation
bin1011111111101011011…
…10001100110010011000
31110101211001102221010201
411333311232030302120
523223032433001130
6513200405151544
741530215533161
oct5776556146230
91411731387121
10412144422040
1114987586642a
1267a623bb5b4
132cb3269aba0
1415d3b056768
15aac2b95bca
hex5ff5b8cc98

412144422040 has 64 divisors (see below), whose sum is σ = 998855141760. Its totient is φ = 152146306560.

The previous prime is 412144422037. The next prime is 412144422047. The reversal of 412144422040 is 40224441214.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412144422047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2644362 + ... + 2795878.

It is an arithmetic number, because the mean of its divisors is an integer number (15607111590).

Almost surely, 2412144422040 is an apocalyptic number.

412144422040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412144422040 is an abundant number, since it is smaller than the sum of its proper divisors (586710719720).

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

412144422040 is a wasteful number, since it uses less digits than its factorization.

412144422040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156772 (or 156768 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 412144422040 its reverse (40224441214), we get a palindrome (452368863254).

The spelling of 412144422040 in words is "four hundred twelve billion, one hundred forty-four million, four hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 5231 10462 20924 26155 41848 52310 68003 104620 136006 151517 209240 272012 303034 340015 544024 606068 680030 757585 1212136 1360060 1515170 1969721 2720120 3030340 3939442 6060680 7878884 9848605 15757768 19697210 39394420 78788840 792585427 1585170854 3170341708 3962927135 6340683416 7925854270 10303610551 15851708540 20607221102 31703417080 41214442204 51518052755 82428884408 103036105510 206072211020 412144422040