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4131014240 = 25547641857
BaseRepresentation
bin1111011000111010…
…0100011001100000
3101122220020021012102
43312032210121200
531430014423430
61521525545532
7204241020203
oct36616443140
911586207172
104131014240
11182a939161
129735752a8
1350ab03a32
142b28d993a
15192a04345
hexf63a4660

4131014240 has 96 divisors (see below), whose sum is σ = 9994368384. Its totient is φ = 1612840960.

The previous prime is 4131014227. The next prime is 4131014249. The reversal of 4131014240 is 424101314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131014249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4819892 + ... + 4820748.

It is an arithmetic number, because the mean of its divisors is an integer number (104108004).

Almost surely, 24131014240 is an apocalyptic number.

4131014240 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 4131014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4997184192).

4131014240 is an abundant number, since it is smaller than the sum of its proper divisors (5863354144).

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

4131014240 is a wasteful number, since it uses less digits than its factorization.

4131014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4131014240 is about 64272.9666345035. The cubic root of 4131014240 is about 1604.5462160485.

Adding to 4131014240 its reverse (424101314), we get a palindrome (4555115554).

The spelling of 4131014240 in words is "four billion, one hundred thirty-one million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 641 752 857 940 1282 1504 1714 1880 2564 3205 3428 3760 4285 5128 6410 6856 7520 8570 10256 12820 13712 17140 20512 25640 27424 30127 34280 40279 51280 60254 68560 80558 102560 120508 137120 150635 161116 201395 241016 301270 322232 402790 482032 549337 602540 644464 805580 964064 1098674 1205080 1288928 1611160 2197348 2410160 2746685 3222320 4394696 4820320 5493370 6444640 8789392 10986740 17578784 21973480 25818839 43946960 51637678 87893920 103275356 129094195 206550712 258188390 413101424 516376780 826202848 1032753560 2065507120 4131014240