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1414234944 = 26331635021
BaseRepresentation
bin101010001001011…
…1000001101000000
310122120010120122000
41110102320031000
510344021004234
6352155544000
750021540643
oct12422701500
93576116560
101414234944
11666331711
1233575b000
13196cc3b15
14d5b79a5a
1584257899
hex544b8340

1414234944 has 112 divisors (see below), whose sum is σ = 4183928640. Its totient is φ = 468426240.

The previous prime is 1414234937. The next prime is 1414234949. The reversal of 1414234944 is 4494324141.

It is a happy number.

1414234944 is a `hidden beast` number, since 1 + 414 + 234 + 9 + 4 + 4 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1414234899 and 1414234908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414234949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279154 + ... + 284174.

Almost surely, 21414234944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414234944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091964320).

1414234944 is an abundant number, since it is smaller than the sum of its proper divisors (2769693696).

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

1414234944 is a wasteful number, since it uses less digits than its factorization.

1414234944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205 (or 5189 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 1414234944 is about 37606.3152143360. The cubic root of 1414234944 is about 1122.4677051504.

The spelling of 1414234944 in words is "one billion, four hundred fourteen million, two hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 163 192 216 288 326 432 489 576 652 864 978 1304 1467 1728 1956 2608 2934 3912 4401 5021 5216 5868 7824 8802 10042 10432 11736 15063 15648 17604 20084 23472 30126 31296 35208 40168 45189 46944 60252 70416 80336 90378 93888 120504 135567 140832 160672 180756 241008 271134 281664 321344 361512 482016 542268 723024 818423 964032 1084536 1446048 1636846 2169072 2455269 2892096 3273692 4338144 4910538 6547384 7365807 8676288 9821076 13094768 14731614 19642152 22097421 26189536 29463228 39284304 44194842 52379072 58926456 78568608 88389684 117852912 157137216 176779368 235705824 353558736 471411648 707117472 1414234944