Search a number
-
+
45041501200 = 2452412746433
BaseRepresentation
bin101001111100101011…
…101100010000010000
311022021000112100000011
4221330223230100100
51214221111014300
632405231404304
73153112305013
oct517453542020
9138230470004
1045041501200
1118113831563
128890383694
13432a6b2077
142273d9337a
1512893d9eba
hexa7caec410

45041501200 has 60 divisors (see below), whose sum is σ = 110851569108. Its totient is φ = 17577164800.

The previous prime is 45041501161. The next prime is 45041501201. The reversal of 45041501200 is 210514054.

It can be written as a sum of positive squares in 6 ways, for example, as 104284944 + 44937216256 = 10212^2 + 211984^2 .

It is not an unprimeable number, because it can be changed into a prime (45041501201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1356817 + ... + 1389616.

Almost surely, 245041501200 is an apocalyptic number.

45041501200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45041501200 is an abundant number, since it is smaller than the sum of its proper divisors (65810067908).

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

45041501200 is a wasteful number, since it uses less digits than its factorization.

45041501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746492 (or 2746481 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The spelling of 45041501200 in words is "forty-five billion, forty-one million, five hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 2050 3280 4100 8200 16400 2746433 5492866 10985732 13732165 21971464 27464330 43942928 54928660 68660825 109857320 112603753 137321650 219714640 225207506 274643300 450415012 549286600 563018765 900830024 1098573200 1126037530 1801660048 2252075060 2815093825 4504150120 5630187650 9008300240 11260375300 22520750600 45041501200