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1450040310400 = 27521141194327
BaseRepresentation
bin10101000110011101001…
…000110011101010000000
312010121210210122221120111
4111012131020303222000
5142224140304413100
63030050032121104
7206522231162563
oct25063510635200
95117723587514
101450040310400
11509a5aa53120
121b503b696194
13a6979b1b7b6
145027a4304da
1527abb3186ba
hex1519d233a80

1450040310400 has 96 divisors (see below), whose sum is σ = 3907693954080. Its totient is φ = 527287372800.

The previous prime is 1450040310361. The next prime is 1450040310409. The reversal of 1450040310400 is 40130400541.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1450040310409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20561964 + ... + 20632363.

It is an arithmetic number, because the mean of its divisors is an integer number (40705145355).

Almost surely, 21450040310400 is an apocalyptic number.

1450040310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1450040310400 is an abundant number, since it is smaller than the sum of its proper divisors (2457653643680).

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

1450040310400 is a wasteful number, since it uses less digits than its factorization.

1450040310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41194362 (or 41194345 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 1450040310400 its reverse (40130400541), we get a palindrome (1490170710941).

The spelling of 1450040310400 in words is "one trillion, four hundred fifty billion, forty million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 275 320 352 400 440 550 640 704 800 880 1100 1408 1600 1760 2200 3200 3520 4400 7040 8800 17600 35200 41194327 82388654 164777308 205971635 329554616 411943270 453137597 659109232 823886540 906275194 1029858175 1318218464 1647773080 1812550388 2059716350 2265687985 2636436928 3295546160 3625100776 4119432700 4531375970 5272873856 6591092320 7250201552 8238865400 9062751940 11328439925 13182184640 14500403104 16477730800 18125503880 22656879850 26364369280 29000806208 32955461600 36251007760 45313759700 58001612416 65910923200 72502015520 90627519400 131821846400 145004031040 181255038800 290008062080 362510077600 725020155200 1450040310400