Search a number
-
+
3145668012500 = 225513190710151
BaseRepresentation
bin101101110001101000011…
…011001010100111010100
3102010201112000100000122012
4231301220123022213110
5403014312002400000
610405033330323352
7443160404635136
oct55615033124724
912121460300565
103145668012500
111003085649572
12429799a29558
1319a834770340
14ac3731d5056
1556c5cd71735
hex2dc686ca9d4

3145668012500 has 144 divisors (see below), whose sum is σ = 7414609684608. Its totient is φ = 1160754000000.

The previous prime is 3145668012493. The next prime is 3145668012521. The reversal of 3145668012500 is 52108665413.

3145668012500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309882425 + ... + 309892575.

It is an arithmetic number, because the mean of its divisors is an integer number (51490345032).

Almost surely, 23145668012500 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 3145668012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707304842304).

3145668012500 is an abundant number, since it is smaller than the sum of its proper divisors (4268941672108).

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

3145668012500 is a wasteful number, since it uses less digits than its factorization.

3145668012500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12100 (or 12078 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 3145668012500 in words is "three trillion, one hundred forty-five billion, six hundred sixty-eight million, twelve thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 625 650 1250 1300 1625 1907 2500 3125 3250 3814 6250 6500 7628 8125 9535 10151 12500 16250 19070 20302 24791 32500 38140 40604 40625 47675 49582 50755 81250 95350 99164 101510 123955 131963 162500 190700 203020 238375 247910 253775 263926 476750 495820 507550 527852 619775 659815 953500 1015100 1191875 1239550 1268875 1319630 2383750 2479100 2537750 2639260 3098875 3299075 4767500 5075500 5959375 6197750 6344375 6598150 11918750 12395500 12688750 13196300 15494375 16495375 19357957 23837500 25377500 30988750 31721875 32990750 38715914 61977500 63443750 65981500 77431828 77471875 82476875 96789785 126887500 154943750 164953750 193579570 251653441 309887500 329907500 387159140 412384375 483948925 503306882 824768750 967897850 1006613764 1258267205 1649537500 1935795700 2419744625 2516534410 4839489250 5033068820 6291336025 9678978500 12098723125 12582672050 24197446250 25165344100 31456680125 48394892500 60493615625 62913360250 120987231250 125826720500 157283400625 241974462500 314566801250 629133602500 786417003125 1572834006250 3145668012500