Search a number
-
+
43446203640 = 233257313715031
BaseRepresentation
bin101000011101100110…
…000111010011111000
311011010211200211011100
4220131212013103320
51202434212004030
631543042531400
73065431431510
oct503546072370
9134124624140
1043446203640
1117475281924
128506066b60
134135034808
142162164840
1511e4319360
hexa1d9874f8

43446203640 has 384 divisors, whose sum is σ = 171090616320. Its totient is φ = 9349862400.

The previous prime is 43446203627. The next prime is 43446203651. The reversal of 43446203640 is 4630264434.

43446203640 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 6 + 2 + 0 + 3 + 640 = 666.

43446203640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×434462036402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 43446203595 and 43446203604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2882925 + ... + 2897955.

It is an arithmetic number, because the mean of its divisors is an integer number (445548480).

Almost surely, 243446203640 is an apocalyptic number.

43446203640 is a gapful number since it is divisible by the number (40) 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 43446203640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85545308160).

43446203640 is an abundant number, since it is smaller than the sum of its proper divisors (127644412680).

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

43446203640 is a wasteful number, since it uses less digits than its factorization.

43446203640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15123 (or 15116 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 43446203640 in words is "forty-three billion, four hundred forty-six million, two hundred three thousand, six hundred forty".