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412243132340 = 2251317131711967
BaseRepresentation
bin1011111111110111001…
…10101111111110110100
31110102001221011221012202
411333323212233332310
523223233220213330
6513214253004032
741532524544254
oct5777346577664
91412057157182
10412243132340
11149916556996
1267a8b483618
132cb49c7c650
1415d4a1cd964
15aacb693445
hex5ffb9affb4

412243132340 has 96 divisors (see below), whose sum is σ = 994681949184. Its totient is φ = 142165370880.

The previous prime is 412243132333. The next prime is 412243132423. The reversal of 412243132340 is 43231342214.

It is a super-2 number, since 2×4122431323402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 223037 + ... + 935003.

It is an arithmetic number, because the mean of its divisors is an integer number (10361270304).

Almost surely, 2412243132340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412243132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497340974592).

412243132340 is an abundant number, since it is smaller than the sum of its proper divisors (582438816844).

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

412243132340 is a wasteful number, since it uses less digits than its factorization.

412243132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712137 (or 712135 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 412243132340 its reverse (43231342214), we get a palindrome (455474474554).

The spelling of 412243132340 in words is "four hundred twelve billion, two hundred forty-three million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 131 170 221 260 262 340 442 524 655 884 1105 1310 1703 2210 2227 2620 3406 4420 4454 6812 8515 8908 11135 17030 22270 28951 34060 44540 57902 115804 144755 289510 579020 711967 1423934 2847868 3559835 7119670 9255571 12103439 14239340 18511142 24206878 37022284 46277855 48413756 60517195 92555710 93267677 121034390 157344707 185111420 186535354 242068780 314689414 373070708 466338385 629378828 786723535 932676770 1212479801 1573447070 1585550509 1865353540 2424959602 3146894140 3171101018 4849919204 6062399005 6342202036 7927752545 12124798010 15855505090 20612156617 24249596020 31711010180 41224313234 82448626468 103060783085 206121566170 412243132340