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45121200203440 = 24548710631089503
BaseRepresentation
bin10100100001001100110010…
…00111000010011010110000
312220202112201000121101211101
422100212121013002122300
521403231204223002230
6235544220533454144
712334620255404524
oct1220463107023260
9186675630541741
1045121200203440
1113416880231319
12508895a7a1354
131c23bac3ac02a
14b1dc4074bd84
15533a8c96eaca
hex2909991c26b0

45121200203440 has 80 divisors (see below), whose sum is σ = 105221193412608. Its totient is φ = 17994459080448.

The previous prime is 45121200203407. The next prime is 45121200203441. The reversal of 45121200203440 is 4430200212154.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 45121200203399 and 45121200203408.

It is not an unprimeable number, because it can be changed into a prime (45121200203441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40869729 + ... + 41959231.

Almost surely, 245121200203440 is an apocalyptic number.

45121200203440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45121200203440 is an abundant number, since it is smaller than the sum of its proper divisors (60099993209168).

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

45121200203440 is a wasteful number, since it uses less digits than its factorization.

45121200203440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091066 (or 1091060 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 45121200203440 its reverse (4430200212154), we get a palindrome (49551400415594).

The spelling of 45121200203440 in words is "forty-five trillion, one hundred twenty-one billion, two hundred million, two hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 487 974 1063 1948 2126 2435 3896 4252 4870 5315 7792 8504 9740 10630 17008 19480 21260 38960 42520 85040 517681 1035362 1089503 2070724 2179006 2588405 4141448 4358012 5176810 5447515 8282896 8716024 10353620 10895030 17432048 20707240 21790060 41414480 43580120 87160240 530587961 1061175922 1158141689 2122351844 2316283378 2652939805 4244703688 4632566756 5305879610 5790708445 8489407376 9265133512 10611759220 11581416890 18530267024 21223518440 23162833780 42447036880 46325667560 92651335120 564015002543 1128030005086 2256060010172 2820075012715 4512120020344 5640150025430 9024240040688 11280300050860 22560600101720 45121200203440