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5001201440 = 2551713713421
BaseRepresentation
bin1001010100001100…
…00100011100100000
3110220112122100121222
410222012010130200
540220301421230
62144133034212
7234635340134
oct45206043440
913815570558
105001201440
112137058734
12b76a85968
1361918c6c1
143562d53c4
151e40e26e5
hex12a184720

5001201440 has 96 divisors (see below), whose sum is σ = 12602613744. Its totient is φ = 1868922880.

The previous prime is 5001201433. The next prime is 5001201461. The reversal of 5001201440 is 441021005.

It can be written as a sum of positive squares in 8 ways, for example, as 4267224976 + 733976464 = 65324^2 + 27092^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365930 + ... + 379350.

Almost surely, 25001201440 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 5001201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301306872).

5001201440 is an abundant number, since it is smaller than the sum of its proper divisors (7601412304).

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

5001201440 is a wasteful number, since it uses less digits than its factorization.

5001201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13590 (or 13582 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 5001201440 is about 70719.1730720884. The cubic root of 5001201440 is about 1710.1128979415.

Adding to 5001201440 its reverse (441021005), we get a palindrome (5442222445).

The spelling of 5001201440 in words is "five billion, one million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 137 160 170 272 274 340 544 548 680 685 1096 1360 1370 2192 2329 2720 2740 4384 4658 5480 9316 10960 11645 13421 18632 21920 23290 26842 37264 46580 53684 67105 74528 93160 107368 134210 186320 214736 228157 268420 372640 429472 456314 536840 912628 1073680 1140785 1825256 1838677 2147360 2281570 3650512 3677354 4563140 7301024 7354708 9126280 9193385 14709416 18252560 18386770 29418832 31257509 36505120 36773540 58837664 62515018 73547080 125030036 147094160 156287545 250060072 294188320 312575090 500120144 625150180 1000240288 1250300360 2500600720 5001201440