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4153011040 = 2557924159
BaseRepresentation
bin1111011110001001…
…1110101101100000
3101201102121211010201
43313202132231200
532001132323130
61524033234544
7204626003623
oct36742365540
911642554121
104153011040
1118412a2732
1297aa02a54
13512535ca9
142b57c3dba
151948ebbca
hexf789eb60

4153011040 has 72 divisors (see below), whose sum is σ = 9939646080. Its totient is φ = 1639782144.

The previous prime is 4153011011. The next prime is 4153011053. The reversal of 4153011040 is 401103514.

It is a junction number, because it is equal to n+sod(n) for n = 4153010999 and 4153011017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 996481 + ... + 1000639.

It is an arithmetic number, because the mean of its divisors is an integer number (138050640).

Almost surely, 24153011040 is an apocalyptic number.

4153011040 is a gapful number since it is divisible by the number (40) 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 4153011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969823040).

4153011040 is an abundant number, since it is smaller than the sum of its proper divisors (5786635040).

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

4153011040 is an equidigital number, since it uses as much as digits as its factorization.

4153011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 4153011040 is about 64443.8595988788. The cubic root of 4153011040 is about 1607.3891353924.

Adding to 4153011040 its reverse (401103514), we get a palindrome (4554114554).

The spelling of 4153011040 in words is "four billion, one hundred fifty-three million, eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 790 1264 1580 2528 3160 4159 6241 6320 8318 12482 12640 16636 20795 24964 31205 33272 41590 49928 62410 66544 83180 99856 124820 133088 166360 199712 249640 328561 332720 499280 657122 665440 998560 1314244 1642805 2628488 3285610 5256976 6571220 10513952 13142440 25956319 26284880 51912638 52569760 103825276 129781595 207650552 259563190 415301104 519126380 830602208 1038252760 2076505520 4153011040