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4410140540 = 22513192114231
BaseRepresentation
bin1000001101101110…
…10110011101111100
3102101100110100111112
410012313112131330
533012443444130
62005340341152
7214200401411
oct40667263574
912340410445
104410140540
111963455953
12a30b447b8
135538a3820
142db9d8108
151ac28d495
hex106dd677c

4410140540 has 96 divisors (see below), whose sum is σ = 10550883840. Its totient is φ = 1534982400.

The previous prime is 4410140533. The next prime is 4410140573. The reversal of 4410140540 is 450410144.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1040225 + ... + 1044455.

It is an arithmetic number, because the mean of its divisors is an integer number (109905040).

Almost surely, 24410140540 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 4410140540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5275441920).

4410140540 is an abundant number, since it is smaller than the sum of its proper divisors (6140743300).

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

4410140540 is a wasteful number, since it uses less digits than its factorization.

4410140540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 4410140540 is about 66408.8890134446. The cubic root of 4410140540 is about 1639.9004178083.

Adding to 4410140540 its reverse (450410144), we get a palindrome (4860550684).

The spelling of 4410140540 in words is "four billion, four hundred ten million, one hundred forty thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 211 247 260 380 422 494 844 988 1055 1235 2110 2470 2743 4009 4220 4231 4940 5486 8018 8462 10972 13715 16036 16924 20045 21155 27430 40090 42310 52117 54860 55003 80180 80389 84620 104234 110006 160778 208468 220012 260585 275015 321556 401945 521170 550030 803890 892741 1042340 1045057 1100060 1607780 1785482 2090114 3570964 4180228 4463705 5225285 8927410 10450570 11605633 16962079 17854820 20901140 23211266 33924158 46422532 58028165 67848316 84810395 116056330 169620790 220507027 232112660 339241580 441014054 882028108 1102535135 2205070270 4410140540