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420011441032 = 23739765911251
BaseRepresentation
bin1100001110010101010…
…00011111101110001000
31111011010022121220101111
412013022220133232020
523340140412103112
6520541154500104
742226163225461
oct6071250375610
91434108556344
10420011441032
11152142566217
1269498b94634
13307b74c0701
1416485bc5d68
15add36745a7
hex61caa1fb88

420011441032 has 64 divisors (see below), whose sum is σ = 807835089600. Its totient is φ = 204664320000.

The previous prime is 420011440969. The next prime is 420011441081. The reversal of 420011441032 is 230144110024.

It is a happy number.

It is a super-2 number, since 2×4200114410322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420011440994 and 420011441012.

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 15 ways as a sum of consecutive naturals, for example, 37325407 + ... + 37336657.

It is an arithmetic number, because the mean of its divisors is an integer number (12622423275).

Almost surely, 2420011441032 is an apocalyptic number.

It is an amenable number.

420011441032 is a deficient number, since it is larger than the sum of its proper divisors (387823648568).

420011441032 is a wasteful number, since it uses less digits than its factorization.

420011441032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12086 (or 12082 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 420011441032 its reverse (230144110024), we get a palindrome (650155551056).

The spelling of 420011441032 in words is "four hundred twenty billion, eleven million, four hundred forty-one thousand, thirty-two".

Divisors: 1 2 4 8 73 97 146 194 292 388 584 659 776 1318 2636 5272 7081 11251 14162 22502 28324 45004 48107 56648 63923 90008 96214 127846 192428 255692 384856 511384 821323 1091347 1642646 2182694 3285292 4365388 4666379 6570584 7414409 8730776 9332758 14828818 18665516 29657636 37331032 59315272 79668331 159336662 318673324 541251857 637346648 719197673 1082503714 1438395346 2165007428 2876790692 4330014856 5753581384 52501430129 105002860258 210005720516 420011441032