Search a number
-
+
43416653040012 = 22376140178726849
BaseRepresentation
bin10011101111100101110100…
…01011101000100110001100
312200201120222012101202001010
421313302322023220212030
521142314301134240022
6232201200212245220
712100515064516650
oct1167627213504614
9180646865352033
1043416653040012
111291999885362a
124a52531310810
131b2c232898815
14aa153d138a60
15504577d4850c
hex277cba2e898c

43416653040012 has 192 divisors, whose sum is σ = 118123489612800. Its totient is φ = 12155056128000.

The previous prime is 43416653039959. The next prime is 43416653040017. The reversal of 43416653040012 is 21004035661434.

It is a super-3 number, since 3×434166530400123 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (43416653040017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1617054364 + ... + 1617081212.

It is an arithmetic number, because the mean of its divisors is an integer number (615226508400).

Almost surely, 243416653040012 is an apocalyptic number.

43416653040012 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 43416653040012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59061744806400).

43416653040012 is an abundant number, since it is smaller than the sum of its proper divisors (74706836572788).

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

43416653040012 is a wasteful number, since it uses less digits than its factorization.

43416653040012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28112 (or 28110 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 43416653040012 in words is "forty-three trillion, four hundred sixteen billion, six hundred fifty-three million, forty thousand, twelve".