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5040434100 = 22352131292419
BaseRepresentation
bin1001011000110111…
…01110101110110100
3111000021110120201110
410230123232232310
540310322342400
62152053555020
7235622661102
oct45433565664
914007416643
105040434100
112157214819
12b88045a70
13624347bb0
1435b5c8c72
151e7791e50
hex12c6eebb4

5040434100 has 72 divisors (see below), whose sum is σ = 15705487840. Its totient is φ = 1240721280.

The previous prime is 5040434083. The next prime is 5040434111. The reversal of 5040434100 is 14340405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642310 + ... + 650109.

Almost surely, 25040434100 is an apocalyptic number.

5040434100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5040434100 is an abundant number, since it is smaller than the sum of its proper divisors (10665053740).

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

5040434100 is a wasteful number, since it uses less digits than its factorization.

5040434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292449 (or 1292442 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 5040434100 is about 70996.0146768817. The cubic root of 5040434100 is about 1714.5729995714.

Adding to 5040434100 its reverse (14340405), we get a palindrome (5054774505).

The spelling of 5040434100 in words is "five billion, forty million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 1292419 2584838 3877257 5169676 6462095 7754514 12924190 15509028 16801447 19386285 25848380 32310475 33602894 38772570 50404341 64620950 67205788 77545140 84007235 96931425 100808682 129241900 168014470 193862850 201617364 252021705 336028940 387725700 420036175 504043410 840072350 1008086820 1260108525 1680144700 2520217050 5040434100