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5042330040 = 23351116972251
BaseRepresentation
bin1001011001000101…
…11101100110111000
3111000102000220110110
410230202331212320
540311314030130
62152202344320
7235645045446
oct45442754670
914012026413
105042330040
11215829a210
12b887bb0a0
1362485cb57
1435b95db96
151e7a18ab0
hex12c8bd9b8

5042330040 has 128 divisors (see below), whose sum is σ = 16519230720. Its totient is φ = 1221120000.

The previous prime is 5042330023. The next prime is 5042330047. The reversal of 5042330040 is 400332405.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5042329989 and 5042330016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5042330047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2238915 + ... + 2241165.

It is an arithmetic number, because the mean of its divisors is an integer number (129056490).

Almost surely, 25042330040 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 5042330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8259615360).

5042330040 is an abundant number, since it is smaller than the sum of its proper divisors (11476900680).

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

5042330040 is a wasteful number, since it uses less digits than its factorization.

5042330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 5042330040 is about 71009.3658611313. The cubic root of 5042330040 is about 1714.7879493139.

Adding to 5042330040 its reverse (400332405), we get a palindrome (5442662445).

The spelling of 5042330040 in words is "five billion, forty-two million, three hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1697 2251 3394 4502 5091 6753 6788 8485 9004 10182 11255 13506 13576 16970 18008 18667 20364 22510 24761 25455 27012 33765 33940 37334 40728 45020 49522 50910 54024 56001 67530 67880 74283 74668 90040 93335 99044 101820 112002 123805 135060 148566 149336 186670 198088 203640 224004 247610 270120 280005 297132 371415 373340 448008 495220 560010 594264 742830 746680 990440 1120020 1485660 2240040 2971320 3819947 7639894 11459841 15279788 19099735 22919682 30559576 38199470 42019417 45839364 57299205 76398940 84038834 91678728 114598410 126058251 152797880 168077668 210097085 229196820 252116502 336155336 420194170 458393640 504233004 630291255 840388340 1008466008 1260582510 1680776680 2521165020 5042330040