Search a number
-
+
450310222040 = 23579711656283
BaseRepresentation
bin1101000110110001001…
…01001011000011011000
31121001022220010110020212
412203120211023003120
524334213404101130
6542511502510252
744351051506130
oct6433045130330
91531286113225
10450310222040
11163a804208a8
1273333b95388
13336057477b3
1417b1bba7ac0
15baa861ae95
hex68d894b0d8

450310222040 has 64 divisors (see below), whose sum is σ = 1159133794560. Its totient is φ = 154232979840.

The previous prime is 450310221919. The next prime is 450310222079. The reversal of 450310222040 is 40222013054.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 450310221997 and 450310222015.

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, 556262 + ... + 1100021.

It is an arithmetic number, because the mean of its divisors is an integer number (18111465540).

Almost surely, 2450310222040 is an apocalyptic number.

450310222040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450310222040 is an abundant number, since it is smaller than the sum of its proper divisors (708823572520).

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

450310222040 is a wasteful number, since it uses less digits than its factorization.

450310222040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657272 (or 1657268 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 450310222040 its reverse (40222013054), we get a palindrome (490532235094).

The spelling of 450310222040 in words is "four hundred fifty billion, three hundred ten million, two hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 971 1942 3884 4855 6797 7768 9710 13594 19420 27188 33985 38840 54376 67970 135940 271880 1656283 3312566 6625132 8281415 11593981 13250264 16562830 23187962 33125660 46375924 57969905 66251320 92751848 115939810 231879620 463759240 1608250793 3216501586 6433003172 8041253965 11257755551 12866006344 16082507930 22515511102 32165015860 45031022204 56288777755 64330031720 90062044408 112577555510 225155111020 450310222040