Search a number
-
+
412441143321408 = 2633169294546929
BaseRepresentation
bin101110111000111001110111…
…1110101101010001101000000
32000002022222200102022212112220
41131301303233311222031000
5413024413430142241113
64021104502345251040
7152605614006213255
oct13561635765521500
92002288612285486
10412441143321408
1110a4643410a5163
123a311a34493a80
131491a057469466
1473bc38777142c
1532a38199c1523
hex1771cefd6a340

412441143321408 has 56 divisors (see below), whose sum is σ = 1126452154894080. Its totient is φ = 133045530101760.

The previous prime is 412441143321367. The next prime is 412441143321409. The reversal of 412441143321408 is 804123341144214.

It is a super-2 number, since 2×4124411433214082 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 412441143321408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412441143321409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34647267513 + ... + 34647279416.

It is an arithmetic number, because the mean of its divisors is an integer number (20115217051680).

Almost surely, 2412441143321408 is an apocalyptic number.

412441143321408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

412441143321408 is an abundant number, since it is smaller than the sum of its proper divisors (714011011572672).

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

412441143321408 is a wasteful number, since it uses less digits than its factorization.

412441143321408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69294546975 (or 69294546965 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 412441143321408 in words is "four hundred twelve trillion, four hundred forty-one billion, one hundred forty-three million, three hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 69294546929 138589093858 207883640787 277178187716 415767281574 554356375432 831534563148 1108712750864 1663069126296 2148130954799 2217425501728 3326138252592 4296261909598 4434851003456 6444392864397 6652276505184 8592523819196 12888785728794 13304553010368 17185047638392 25777571457588 34370095276784 51555142915176 68740190553568 103110285830352 137480381107136 206220571660704 412441143321408