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412421432102224 = 243710352331292503
BaseRepresentation
bin101110111000110000101100…
…0111101010100110101010000
32000002021002210201012012002221
41131301201120331110311100
5413024103043104232344
64021051442413350424
7152604315361501036
oct13561413075246520
92002232721165087
10412421432102224
1110a456a46687476
123a30a053198414
1314918235861b5c
1473bb43797c556
1532a306429a184
hex1771858f54d50

412421432102224 has 80 divisors (see below), whose sum is σ = 828789506751232. Its totient is φ = 198651394750464.

The previous prime is 412421432102171. The next prime is 412421432102233. The reversal of 412421432102224 is 422201234124214.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 412421432102224.

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, 318441157 + ... + 319733659.

Almost surely, 2412421432102224 is an apocalyptic number.

It is an amenable number.

412421432102224 is an abundant number, since it is smaller than the sum of its proper divisors (416368074649008).

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

412421432102224 is a wasteful number, since it uses less digits than its factorization.

412421432102224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297884 (or 1297878 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 412421432102224 its reverse (422201234124214), we get a palindrome (834622666226438).

The spelling of 412421432102224 in words is "four hundred twelve trillion, four hundred twenty-one billion, four hundred thirty-two million, one hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 37 74 103 148 206 296 412 592 824 1648 3811 5233 7622 10466 15244 20932 30488 41864 60976 83728 193621 387242 538999 774484 1077998 1292503 1548968 2155996 2585006 3097936 4311992 5170012 8623984 10340024 19942963 20680048 39885926 47822611 79771852 95645222 133127809 159543704 191290444 266255618 319087408 382580888 532511236 765161776 1065022472 2130044944 4925728933 6763668199 9851457866 13527336398 19702915732 27054672796 39405831464 54109345592 78811662928 108218691184 250255723363 500511446726 696657824497 1001022893452 1393315648994 2002045786904 2786631297988 4004091573808 5573262595976 11146525191952 25776339506389 51552679012778 103105358025556 206210716051112 412421432102224