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45431143300 = 225223101223877
BaseRepresentation
bin101010010011111010…
…000011101110000100
311100021011201012111001
4222103322003232010
51221020333041200
632512031023044
73165553226554
oct522372035604
9140234635431
1045431143300
11182a3772424
12897a96aa84
134390337c1a
1422ada1d164
1512ad70476a
hexa93e83b84

45431143300 has 144 divisors (see below), whose sum is σ = 104475313152. Its totient is φ = 17113536000.

The previous prime is 45431143271. The next prime is 45431143309. The reversal of 45431143300 is 334113454.

It is not an unprimeable number, because it can be changed into a prime (45431143309) 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 47 ways as a sum of consecutive naturals, for example, 51802462 + ... + 51803338.

It is an arithmetic number, because the mean of its divisors is an integer number (725523008).

Almost surely, 245431143300 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 45431143300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52237656576).

45431143300 is an abundant number, since it is smaller than the sum of its proper divisors (59044169852).

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

45431143300 is a wasteful number, since it uses less digits than its factorization.

45431143300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 45431143300 its reverse (334113454), we get a palindrome (45765256754).

The spelling of 45431143300 in words is "forty-five billion, four hundred thirty-one million, one hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 101 115 202 223 230 404 446 460 505 575 877 892 1010 1115 1150 1754 2020 2230 2300 2323 2525 3508 4385 4460 4646 5050 5129 5575 8770 9292 10100 10258 11150 11615 17540 20171 20516 21925 22300 22523 23230 25645 40342 43850 45046 46460 51290 58075 80684 87700 88577 90092 100855 102580 112615 116150 128225 177154 195571 201710 225230 232300 256450 354308 391142 403420 442885 450460 504275 512900 518029 563075 782284 885770 977855 1008550 1036058 1126150 1771540 1955710 2017100 2037271 2072116 2214425 2252300 2590145 3911420 4074542 4428850 4498133 4889275 5180290 8149084 8857700 8996266 9778550 10186355 10360580 12950725 17992532 19557100 19752671 20372710 22490665 25901450 39505342 40745420 44981330 50931775 51802900 79010684 89962660 98763355 101863550 112453325 197526710 203727100 224906650 395053420 449813300 454311433 493816775 908622866 987633550 1817245732 1975267100 2271557165 4543114330 9086228660 11357785825 22715571650 45431143300