Search a number
-
+
44008042514464 = 257418434695277
BaseRepresentation
bin10100000000110011010111…
…01111011100100000100000
312202211010110011000210000201
422000121223233130200200
521232011432340430324
6233333003213154544
712161322214226650
oct1200315357344040
9182733404023021
1044008042514464
1113027784791906
124b2907848ba54
131b72c2c6704a2
14ac20019cc360
15514b3bcbe444
hex28066bbdc820

44008042514464 has 48 divisors (see below), whose sum is σ = 99020483166528. Its totient is φ = 18860134885632.

The previous prime is 44008042514459. The next prime is 44008042514567. The reversal of 44008042514464 is 46441524080044.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7025194 + ... + 11720470.

It is an arithmetic number, because the mean of its divisors is an integer number (2062926732636).

Almost surely, 244008042514464 is an apocalyptic number.

It is an amenable number.

44008042514464 is an abundant number, since it is smaller than the sum of its proper divisors (55012440652064).

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

44008042514464 is a wasteful number, since it uses less digits than its factorization.

44008042514464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737137 (or 4737129 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 46.

The spelling of 44008042514464 in words is "forty-four trillion, eight billion, forty-two million, five hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 41843 83686 167372 292901 334744 585802 669488 1171604 1338976 2343208 4686416 4695277 9372832 9390554 18781108 32866939 37562216 65733878 75124432 131467756 150248864 262935512 525871024 1051742048 196464475511 392928951022 785857902044 1375251328577 1571715804088 2750502657154 3143431608176 5501005314308 6286863216352 11002010628616 22004021257232 44008042514464