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5141405100 = 22352134872707
BaseRepresentation
bin1001100100111001…
…11001110110101100
3111021022110102220010
410302130321312230
541012144430400
62210102053220
7241260136146
oct46234716654
914238412803
105141405100
1121a9209827
12bb5a1a210
1363c23b650
1436ab8dc96
15201589450
hex132739dac

5141405100 has 144 divisors (see below), whose sum is σ = 16058916608. Its totient is φ = 1262511360.

The previous prime is 5141405089. The next prime is 5141405107. The reversal of 5141405100 is 15041415.

It is not an unprimeable number, because it can be changed into a prime (5141405107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1897947 + ... + 1900653.

Almost surely, 25141405100 is an apocalyptic number.

5141405100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5141405100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8029458304).

5141405100 is an abundant number, since it is smaller than the sum of its proper divisors (10917511508).

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

5141405100 is a wasteful number, since it uses less digits than its factorization.

5141405100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 5141405100 is about 71703.5919602359. The cubic root of 5141405100 is about 1725.9462818962.

Adding to 5141405100 its reverse (15041415), we get a palindrome (5156446515).

The spelling of 5141405100 in words is "five billion, one hundred forty-one million, four hundred five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 487 650 780 974 975 1300 1461 1948 1950 2435 2707 2922 3900 4870 5414 5844 6331 7305 8121 9740 10828 12175 12662 13535 14610 16242 18993 24350 25324 27070 29220 31655 32484 35191 36525 37986 40605 48700 54140 63310 67675 70382 73050 75972 81210 94965 105573 126620 135350 140764 146100 158275 162420 175955 189930 203025 211146 270700 316550 351910 379860 406050 422292 474825 527865 633100 703820 812100 879775 949650 1055730 1318309 1759550 1899300 2111460 2636618 2639325 3519100 3954927 5273236 5278650 6591545 7909854 10557300 13183090 15819708 17138017 19774635 26366180 32957725 34276034 39549270 51414051 65915450 68552068 79098540 85690085 98873175 102828102 131830900 171380170 197746350 205656204 257070255 342760340 395492700 428450425 514140510 856900850 1028281020 1285351275 1713801700 2570702550 5141405100