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1423914480 = 243256593001
BaseRepresentation
bin101010011011111…
…0011010111110000
310200020100100110100
41110313303113300
510404010230410
6353143232400
750200034112
oct12467632760
93606310410
101423914480
1167084302a
12338a48700
13199002861
14d71793b2
158501a8c0
hex54df35f0

1423914480 has 120 divisors (see below), whose sum is σ = 4790831760. Its totient is φ = 379008000.

The previous prime is 1423914449. The next prime is 1423914523. The reversal of 1423914480 is 844193241.

It is a happy number.

1423914480 is a `hidden beast` number, since 142 + 39 + 1 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472980 + ... + 475980.

It is an arithmetic number, because the mean of its divisors is an integer number (39923598).

Almost surely, 21423914480 is an apocalyptic number.

1423914480 is a gapful number since it is divisible by the number (10) 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 1423914480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395415880).

1423914480 is an abundant number, since it is smaller than the sum of its proper divisors (3366917280).

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

1423914480 is a wasteful number, since it uses less digits than its factorization.

1423914480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3679 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1423914480 is about 37734.7913734792. The cubic root of 1423914480 is about 1125.0227432439.

The spelling of 1423914480 in words is "one billion, four hundred twenty-three million, nine hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 659 720 1318 1977 2636 3001 3295 3954 5272 5931 6002 6590 7908 9003 9885 10544 11862 12004 13180 15005 15816 18006 19770 23724 24008 26360 27009 29655 30010 31632 36012 39540 45015 47448 48016 52720 54018 59310 60020 72024 79080 90030 94896 108036 118620 120040 135045 144048 158160 180060 216072 237240 240080 270090 360120 432144 474480 540180 720240 1080360 1977659 2160720 3955318 5932977 7910636 9888295 11865954 15821272 17798931 19776590 23731908 29664885 31642544 35597862 39553180 47463816 59329770 71195724 79106360 88994655 94927632 118659540 142391448 158212720 177989310 237319080 284782896 355978620 474638160 711957240 1423914480