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5040251440 = 245710387383
BaseRepresentation
bin1001011000110110…
…00010001000110000
3111000021010022011021
410230123002020300
540310301021230
62152050025224
7235621300420
oct45433021060
914007108137
105040251440
1121570aa564
12b87b78214
136242b2a03
1435b57c480
151e7757c7a
hex12c6c2230

5040251440 has 80 divisors (see below), whose sum is σ = 13522848768. Its totient is φ = 1711289088.

The previous prime is 5040251423. The next prime is 5040251479. The reversal of 5040251440 is 441520405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13989 + ... + 101371.

Almost surely, 25040251440 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 5040251440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761424384).

5040251440 is an abundant number, since it is smaller than the sum of its proper divisors (8482597328).

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

5040251440 is a wasteful number, since it uses less digits than its factorization.

5040251440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87506 (or 87500 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 5040251440 is about 70994.7282549909. The cubic root of 5040251440 is about 1714.5522878839.

Adding to 5040251440 its reverse (441520405), we get a palindrome (5481771845).

The spelling of 5040251440 in words is "five billion, forty million, two hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 103 112 140 206 280 412 515 560 721 824 1030 1442 1648 2060 2884 3605 4120 5768 7210 8240 11536 14420 28840 57680 87383 174766 349532 436915 611681 699064 873830 1223362 1398128 1747660 2446724 3058405 3495320 4893448 6116810 6990640 9000449 9786896 12233620 18000898 24467240 36001796 45002245 48934480 63003143 72003592 90004490 126006286 144007184 180008980 252012572 315015715 360017960 504025144 630031430 720035920 1008050288 1260062860 2520125720 5040251440