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1399541472 = 253271634259
BaseRepresentation
bin101001101101011…
…0100111011100000
310121112111001222100
41103122310323200
510331240311342
6350513010400
746452622560
oct12332647340
93545431870
101399541472
1165900624a
12330853a00
13193c4ab64
14d3c32da0
1582d03e4c
hex536b4ee0

1399541472 has 144 divisors (see below), whose sum is σ = 4577489280. Its totient is φ = 397322496.

The previous prime is 1399541471. The next prime is 1399541491. The reversal of 1399541472 is 2741459931.

1399541472 is a `hidden beast` number, since 1 + 39 + 9 + 541 + 4 + 72 = 666.

1399541472 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1399541471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326479 + ... + 330737.

It is an arithmetic number, because the mean of its divisors is an integer number (31788120).

Almost surely, 21399541472 is an apocalyptic number.

1399541472 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 1399541472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288744640).

1399541472 is an abundant number, since it is smaller than the sum of its proper divisors (3177947808).

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

1399541472 is a wasteful number, since it uses less digits than its factorization.

1399541472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4445 (or 4434 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 1399541472 is about 37410.4460278142. The cubic root of 1399541472 is about 1118.5667977448.

The spelling of 1399541472 in words is "one billion, three hundred ninety-nine million, five hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 163 168 224 252 288 326 336 489 504 652 672 978 1008 1141 1304 1467 1956 2016 2282 2608 2934 3423 3912 4259 4564 5216 5868 6846 7824 8518 9128 10269 11736 12777 13692 15648 17036 18256 20538 23472 25554 27384 29813 34072 36512 38331 41076 46944 51108 54768 59626 68144 76662 82152 89439 102216 109536 119252 136288 153324 164304 178878 204432 238504 268317 306648 328608 357756 408864 477008 536634 613296 694217 715512 954016 1073268 1226592 1388434 1431024 2082651 2146536 2776868 2862048 4165302 4293072 4859519 5553736 6247953 8330604 8586144 9719038 11107472 12495906 14578557 16661208 19438076 22214944 24991812 29157114 33322416 38876152 43735671 49983624 58314228 66644832 77752304 87471342 99967248 116628456 155504608 174942684 199934496 233256912 349885368 466513824 699770736 1399541472