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5120142104 = 23741122203
BaseRepresentation
bin1001100010010111…
…10010101100011000
3111012211110011112202
410301023302230120
540441224021404
62204022225332
7240611330000
oct46113625430
914184404482
105120142104
112198206600
12baa885248
13637a053ac
14368017000
151ee78921e
hex1312f2b18

5120142104 has 120 divisors (see below), whose sum is σ = 12315940980. Its totient is φ = 1993955040.

The previous prime is 5120142047. The next prime is 5120142149. The reversal of 5120142104 is 4012410215.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2323067 + ... + 2325269.

Almost surely, 25120142104 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 5120142104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6157970490).

5120142104 is an abundant number, since it is smaller than the sum of its proper divisors (7195798876).

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

5120142104 is a wasteful number, since it uses less digits than its factorization.

5120142104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 5120142104 is about 71555.1682549905. The cubic root of 5120142104 is about 1723.5636973877.

Adding to 5120142104 its reverse (4012410215), we get a palindrome (9132552319).

The spelling of 5120142104 in words is "five billion, one hundred twenty million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 242 308 343 392 484 539 616 686 847 968 1078 1372 1694 2156 2203 2401 2744 3388 3773 4312 4406 4802 5929 6776 7546 8812 9604 11858 15092 15421 17624 19208 23716 24233 26411 30184 30842 41503 47432 48466 52822 61684 83006 96932 105644 107947 123368 166012 169631 193864 211288 215894 266563 290521 332024 339262 431788 533126 581042 678524 755629 863576 1066252 1162084 1187417 1357048 1511258 1865941 2132504 2324168 2374834 3022516 3731882 4749668 5289403 6045032 7463764 8311919 9499336 10578806 13061587 14927528 16623838 21157612 26123174 33247676 42315224 52246348 58183433 66495352 91431109 104492696 116366866 182862218 232733732 365724436 465467464 640017763 731448872 1280035526 2560071052 5120142104