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412244103432 = 23372433809579
BaseRepresentation
bin1011111111110111010…
…10011101000100001000
31110102002000000021022010
411333323222131010020
523223233442302212
6513214325455520
741532536030400
oct5777352350410
91412060007263
10412244103432
1114991705a547
1267a8b8715a0
132cb4a22c665
1415d4a3a3800
15aacb7d603c
hex5ffba9d108

412244103432 has 96 divisors (see below), whose sum is σ = 1201643402400. Its totient is φ = 117511865856.

The previous prime is 412244103409. The next prime is 412244103437. The reversal of 412244103432 is 234301442214.

It is a self number, because there is not a number n which added to its sum of digits gives 412244103432.

It is not an unprimeable number, because it can be changed into a prime (412244103437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104419 + ... + 913997.

It is an arithmetic number, because the mean of its divisors is an integer number (12517118775).

Almost surely, 2412244103432 is an apocalyptic number.

412244103432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412244103432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600821701200).

412244103432 is an abundant number, since it is smaller than the sum of its proper divisors (789399298968).

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

412244103432 is a wasteful number, since it uses less digits than its factorization.

412244103432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810035 (or 810024 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 412244103432 its reverse (234301442214), we get a palindrome (646545545646).

The spelling of 412244103432 in words is "four hundred twelve billion, two hundred forty-four million, one hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 433 588 866 1176 1299 1732 2598 3031 3464 5196 6062 9093 10392 12124 18186 21217 24248 36372 42434 63651 72744 84868 127302 169736 254604 509208 809579 1619158 2428737 3238316 4857474 5667053 6476632 9714948 11334106 17001159 19429896 22668212 34002318 39669371 45336424 68004636 79338742 119008113 136009272 158677484 238016226 317354968 350547707 476032452 701095414 952064904 1051643121 1402190828 2103286242 2453833949 2804381656 4206572484 4907667898 7361501847 8413144968 9815335796 14723003694 17176837643 19630671592 29446007388 34353675286 51530512929 58892014776 68707350572 103061025858 137414701144 206122051716 412244103432