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164230001440 = 2551760378677
BaseRepresentation
bin1001100011110011011…
…1101111001100100000
3120200220110201111002221
42120330313233030200
510142320340021230
6203240214520424
714602525656631
oct2307467571440
9520813644087
10164230001440
116371661091a
12279b4366114
131264371b15b
147d3d619888
154412ee627a
hex263cdef320

164230001440 has 48 divisors (see below), whose sum is σ = 410816525112. Its totient is φ = 61827764224.

The previous prime is 164230001387. The next prime is 164230001459. The reversal of 164230001440 is 44100032461.

164230001440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 163678503184 + 551498256 = 404572^2 + 23484^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30186619 + ... + 30192058.

Almost surely, 2164230001440 is an apocalyptic number.

164230001440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164230001440 is an abundant number, since it is smaller than the sum of its proper divisors (246586523672).

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

164230001440 is a wasteful number, since it uses less digits than its factorization.

164230001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60378709 (or 60378701 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 164230001440 in words is "one hundred sixty-four billion, two hundred thirty million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 60378677 120757354 241514708 301893385 483029416 603786770 966058832 1026437509 1207573540 1932117664 2052875018 2415147080 4105750036 4830294160 5132187545 8211500072 9660588320 10264375090 16423000144 20528750180 32846000288 41057500360 82115000720 164230001440