Search a number
-
+
45225305040 = 2435434382297
BaseRepresentation
bin101010000111101000…
…110110001111010000
311022201211101112110210
4222013220312033100
51220110134230130
632435355124120
73160503515166
oct520750661720
9138654345423
1045225305040
11181a8562063
128921a43640
1343597b8436
14229055b236
15129a5e55b0
hexa87a363d0

45225305040 has 80 divisors (see below), whose sum is σ = 143458907328. Its totient is φ = 11779611648.

The previous prime is 45225305039. The next prime is 45225305063. The reversal of 45225305040 is 4050352254.

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

It is a super-2 number, since 2×452253050402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45225304989 and 45225305007.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2180829 + ... + 2201468.

Almost surely, 245225305040 is an apocalyptic number.

45225305040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45225305040 is an abundant number, since it is smaller than the sum of its proper divisors (98233602288).

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

45225305040 is a wasteful number, since it uses less digits than its factorization.

45225305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382356 (or 4382350 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 45225305040 its reverse (4050352254), we get a palindrome (49275657294).

The spelling of 45225305040 in words is "forty-five billion, two hundred twenty-five million, three hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 4382297 8764594 13146891 17529188 21911485 26293782 35058376 43822970 52587564 65734455 70116752 87645940 105175128 131468910 175291880 188438771 210350256 262937820 350583760 376877542 525875640 565316313 753755084 942193855 1051751280 1130632626 1507510168 1884387710 2261265252 2826581565 3015020336 3768775420 4522530504 5653163130 7537550840 9045061008 11306326260 15075101680 22612652520 45225305040