Search a number
-
+
44307008640 = 2733523237131
BaseRepresentation
bin101001010000111001…
…110100110010000000
311020100211110020122000
4221100321310302000
51211220043234030
632204312544000
73125653234206
oct512071646200
9136324406560
1044307008640
1117877173414
1287063b2000
134241486b9b
1422045db076
151244ba2860
hexa50e74c80

44307008640 has 768 divisors, whose sum is σ = 169759497600. Its totient is φ = 10912112640.

The previous prime is 44307008639. The next prime is 44307008671. The reversal of 44307008640 is 4680070344.

44307008640 is a `hidden beast` number, since 4 + 4 + 3 + 0 + 7 + 0 + 0 + 8 + 640 = 666.

It is a super-2 number, since 2×443070086402 (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 = 44307008595 and 44307008604.

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, 338221375 + ... + 338221505.

Almost surely, 244307008640 is an apocalyptic number.

44307008640 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 44307008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84879748800).

44307008640 is an abundant number, since it is smaller than the sum of its proper divisors (125452488960).

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

44307008640 is a wasteful number, since it uses less digits than its factorization.

44307008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 44307008640 its reverse (4680070344), we get a palindrome (48987078984).

The spelling of 44307008640 in words is "forty-four billion, three hundred seven million, eight thousand, six hundred forty".