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40313232020400 = 2435233594360017
BaseRepresentation
bin10010010101010001001111…
…10111111101001110110000
312021201220111110020022200020
421022220213313331032300
520240442444344123100
6221423350525323440
711330351320223133
oct1112504767751660
9167656443208606
1040313232020400
111193282256a119
124630b83a06580
1319656a1883b31
149d5256b0221a
1549d98ddae5a0
hex24aa27dfd3b0

40313232020400 has 60 divisors (see below), whose sum is σ = 129136719909192. Its totient is φ = 10750195205120.

The previous prime is 40313232020339. The next prime is 40313232020401. The reversal of 40313232020400 is 402023231304.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40313232020401) 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, 16797178809 + ... + 16797181208.

Almost surely, 240313232020400 is an apocalyptic number.

40313232020400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40313232020400 is an abundant number, since it is smaller than the sum of its proper divisors (88823487888792).

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

40313232020400 is a wasteful number, since it uses less digits than its factorization.

40313232020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33594360038 (or 33594360027 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 40313232020400 its reverse (402023231304), we get a palindrome (40715255251704).

The spelling of 40313232020400 in words is "forty trillion, three hundred thirteen billion, two hundred thirty-two million, twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 33594360017 67188720034 100783080051 134377440068 167971800085 201566160102 268754880136 335943600170 403132320204 503915400255 537509760272 671887200340 806264640408 839859000425 1007830800510 1343774400680 1612529280816 1679718000850 2015661601020 2519577001275 2687548801360 3359436001700 4031323202040 5039154002550 6718872003400 8062646404080 10078308005100 13437744006800 20156616010200 40313232020400