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46128014000 = 245323064007
BaseRepresentation
bin101010111101011100…
…011010001010110000
311102001201222220100222
4222331130122022300
51223432232422000
633105123232212
73222044435555
oct527534321260
9142051886328
1046128014000
1118621074722
128b34218668
13447181cb53
1423383c0a2c
1512ee9a9a85
hexabd71a2b0

46128014000 has 40 divisors (see below), whose sum is σ = 111537542688. Its totient is φ = 18451204800.

The previous prime is 46128013999. The next prime is 46128014003. The reversal of 46128014000 is 41082164.

46128014000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (46128014003) 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, 11530004 + ... + 11534003.

Almost surely, 246128014000 is an apocalyptic number.

46128014000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46128014000 is an abundant number, since it is smaller than the sum of its proper divisors (65409528688).

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

46128014000 is a wasteful number, since it uses less digits than its factorization.

46128014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23064030 (or 23064014 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 46128014000 its reverse (41082164), we get a palindrome (46169096164).

The spelling of 46128014000 in words is "forty-six billion, one hundred twenty-eight million, fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 23064007 46128014 92256028 115320035 184512056 230640070 369024112 461280140 576600175 922560280 1153200350 1845120560 2306400700 2883000875 4612801400 5766001750 9225602800 11532003500 23064007000 46128014000