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240420524320 = 2557320583949
BaseRepresentation
bin1101111111101000101…
…1100001000100100000
3211222120022122001220201
43133322023201010200
512414340123234240
6302240410114544
723240562511144
oct3377213410440
9758508561821
10240420524320
1192a641333a9
123a71841ba54
131989654aca2
14b8ca477224
1563c1d25d9a
hex37fa2e1120

240420524320 has 48 divisors (see below), whose sum is σ = 575774249400. Its totient is φ = 94850832384.

The previous prime is 240420524299. The next prime is 240420524321. The reversal of 240420524320 is 23425024042.

It can be written as a sum of positive squares in 4 ways, for example, as 233022460176 + 7398064144 = 482724^2 + 86012^2 .

It is a super-2 number, since 2×2404205243202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (240420524321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10280295 + ... + 10303654.

Almost surely, 2240420524320 is an apocalyptic number.

240420524320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240420524320 is an abundant number, since it is smaller than the sum of its proper divisors (335353725080).

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

240420524320 is a wasteful number, since it uses less digits than its factorization.

240420524320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20584037 (or 20584029 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

Adding to 240420524320 its reverse (23425024042), we get a palindrome (263845548362).

The spelling of 240420524320 in words is "two hundred forty billion, four hundred twenty million, five hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 11680 20583949 41167898 82335796 102919745 164671592 205839490 329343184 411678980 658686368 823357960 1502628277 1646715920 3005256554 3293431840 6010513108 7513141385 12021026216 15026282770 24042052432 30052565540 48084104864 60105131080 120210262160 240420524320