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423005322400 = 2552646981737
BaseRepresentation
bin1100010011111010001…
…01001111110010100000
31111102211222010211112121
412021331011033302200
523412303330304100
6522154224034024
742363315625543
oct6117505176240
91442758124477
10423005322400
11153439527641
1269b93762914
1330b73841c4b
141668b67885a
15b00b40a51a
hex627d14fca0

423005322400 has 72 divisors (see below), whose sum is σ = 1032834011580. Its totient is φ = 169173903360.

The previous prime is 423005322347. The next prime is 423005322427. The reversal of 423005322400 is 4223500324.

It can be written as a sum of positive squares in 6 ways, for example, as 18351579024 + 404653743376 = 135468^2 + 636124^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5134332 + ... + 5216068.

Almost surely, 2423005322400 is an apocalyptic number.

423005322400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423005322400 is an abundant number, since it is smaller than the sum of its proper divisors (609828689180).

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

423005322400 is a wasteful number, since it uses less digits than its factorization.

423005322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88226 (or 88213 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 423005322400 its reverse (4223500324), we get a palindrome (427228822724).

The spelling of 423005322400 in words is "four hundred twenty-three billion, five million, three hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 6469 12938 25876 32345 51752 64690 81737 103504 129380 161725 163474 207008 258760 323450 326948 408685 517520 646900 653896 817370 1035040 1293800 1307792 1634740 2043425 2587600 2615584 3269480 4086850 5175200 6538960 8173700 13077920 16347400 32694800 65389600 528756653 1057513306 2115026612 2643783265 4230053224 5287566530 8460106448 10575133060 13218916325 16920212896 21150266120 26437832650 42300532240 52875665300 84601064480 105751330600 211502661200 423005322400