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1414844928 = 2933714621
BaseRepresentation
bin101010001010100…
…1101001000000000
310122121021120101000
41110111031020000
510344200014203
6352221012000
750026661220
oct12425151000
93577246330
101414844928
11666708a32
123359b4000
13197178663
14d5c98080
15843284a3
hex5454d200

1414844928 has 160 divisors (see below), whose sum is σ = 4786657920. Its totient is φ = 404213760.

The previous prime is 1414844923. The next prime is 1414844969. The reversal of 1414844928 is 8294484141.

1414844928 is a `hidden beast` number, since 14 + 148 + 4 + 492 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1414844923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89458 + ... + 104078.

It is an arithmetic number, because the mean of its divisors is an integer number (29916612).

Almost surely, 21414844928 is an apocalyptic number.

1414844928 is a gapful number since it is divisible by the number (18) 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 1414844928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393328960).

1414844928 is an abundant number, since it is smaller than the sum of its proper divisors (3371812992).

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

1414844928 is an equidigital number, since it uses as much as digits as its factorization.

1414844928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14655 (or 14633 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 1414844928 is about 37614.4244672174. The cubic root of 1414844928 is about 1122.6290618679.

The spelling of 1414844928 in words is "one billion, four hundred fourteen million, eight hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 8064 10752 12096 13824 14621 16128 24192 29242 32256 43863 48384 58484 87726 96768 102347 116968 131589 175452 204694 233936 263178 307041 350904 394767 409388 467872 526356 614082 701808 789534 818776 921123 935744 1052712 1228164 1403616 1579068 1637552 1842246 1871488 2105424 2456328 2763369 2807232 3158136 3275104 3684492 3742976 4210848 4912656 5526738 5614464 6316272 6550208 7368984 7485952 8421696 9825312 11053476 11228928 12632544 13100416 14737968 16843392 19650624 22106952 22457856 25265088 26200832 29475936 33686784 39301248 44213904 50530176 52401664 58951872 67373568 78602496 88427808 101060352 117903744 157204992 176855616 202120704 235807488 353711232 471614976 707422464 1414844928