Search a number
-
+
45445345604000 = 255382913704869
BaseRepresentation
bin10100101010101000100011…
…01011100111000110100000
312221220112101021100212100022
422111110101223213012200
521424034031433312000
6240353145322413012
712400214013013046
oct1225242153470640
9187815337325308
1045445345604000
1113531298921411
12511b742361168
131c486296854b4
14b317d0538396
1553c20ec91585
hex295511ae71a0

45445345604000 has 96 divisors (see below), whose sum is σ = 111793913758800. Its totient is φ = 18156209126400.

The previous prime is 45445345603961. The next prime is 45445345604003. The reversal of 45445345604000 is 40654354454.

It can be written as a sum of positive squares in 8 ways, for example, as 630836239504 + 44814509364496 = 794252^2 + 6694364^2 .

It is not an unprimeable number, because it can be changed into a prime (45445345604003) 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, 3536435 + ... + 10168434.

Almost surely, 245445345604000 is an apocalyptic number.

45445345604000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45445345604000 is an abundant number, since it is smaller than the sum of its proper divisors (66348568154800).

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

45445345604000 is a wasteful number, since it uses less digits than its factorization.

45445345604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13705723 (or 13705705 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 44.

Adding to 45445345604000 its reverse (40654354454), we get a palindrome (45485999958454).

The spelling of 45445345604000 in words is "forty-five trillion, four hundred forty-five billion, three hundred forty-five million, six hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 829 1000 1658 2000 3316 4000 4145 6632 8290 13264 16580 20725 26528 33160 41450 66320 82900 103625 132640 165800 207250 331600 414500 663200 829000 1658000 3316000 13704869 27409738 54819476 68524345 109638952 137048690 219277904 274097380 342621725 438555808 548194760 685243450 1096389520 1370486900 1713108625 2192779040 2740973800 3426217250 5481947600 6852434500 10963895200 11361336401 13704869000 22722672802 27409738000 45445345604 54819476000 56806682005 90890691208 113613364010 181781382416 227226728020 284033410025 363562764832 454453456040 568066820050 908906912080 1136133640100 1420167050125 1817813824160 2272267280200 2840334100250 4544534560400 5680668200500 9089069120800 11361336401000 22722672802000 45445345604000