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1444998672 = 243213259377
BaseRepresentation
bin101011000100000…
…1110111000010000
310201201000112112100
41112020032320100
510424404424142
6355215200400
750544200055
oct12610167020
93651015470
101444998672
11681733987
12343b16100
131a04a5600
14d9ca702c
1586cd2b4c
hex5620ee10

1444998672 has 90 divisors (see below), whose sum is σ = 4379068122. Its totient is φ = 444607488.

The previous prime is 1444998661. The next prime is 1444998673. The reversal of 1444998672 is 2768994441.

1444998672 is a `hidden beast` number, since 1 + 4 + 4 + 499 + 86 + 72 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 86044176 + 1358954496 = 9276^2 + 36864^2 .

It is not an unprimeable number, because it can be changed into a prime (1444998673) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5353 + ... + 54024.

Almost surely, 21444998672 is an apocalyptic number.

1444998672 is a gapful number since it is divisible by the number (12) 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 1444998672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189534061).

1444998672 is an abundant number, since it is smaller than the sum of its proper divisors (2934069450).

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

1444998672 is a wasteful number, since it uses less digits than its factorization.

1444998672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59417 (or 59395 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 1444998672 is about 38013.1381498555. The cubic root of 1444998672 is about 1130.5483729914.

The spelling of 1444998672 in words is "one billion, four hundred forty-four million, nine hundred ninety-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 24336 59377 118754 178131 237508 356262 475016 534393 712524 771901 950032 1068786 1425048 1543802 2137572 2315703 2850096 3087604 4275144 4631406 6175208 6947109 8550288 9262812 10034713 12350416 13894218 18525624 20069426 27788436 30104139 37051248 40138852 55576872 60208278 80277704 90312417 111153744 120416556 160555408 180624834 240833112 361249668 481666224 722499336 1444998672