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420430414432 = 2574145778573
BaseRepresentation
bin1100001111000111001…
…10110000001001100000
31111012012111222221211211
412013203212300021200
523342020141230212
6521050522515504
742242441362330
oct6074346601140
91435174887754
10420430414432
11152338010126
1269595365b94
1330853246072
14164c56c90c0
15ae0a3349a7
hex61e39b0260

420430414432 has 48 divisors (see below), whose sum is σ = 969040854432. Its totient is φ = 175789716480.

The previous prime is 420430414429. The next prime is 420430414483. The reversal of 420430414432 is 234414034024.

It is a junction number, because it is equal to n+sod(n) for n = 420430414394 and 420430414403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22880103 + ... + 22898470.

It is an arithmetic number, because the mean of its divisors is an integer number (20188351134).

Almost surely, 2420430414432 is an apocalyptic number.

It is an amenable number.

420430414432 is an abundant number, since it is smaller than the sum of its proper divisors (548610440000).

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

420430414432 is a wasteful number, since it uses less digits than its factorization.

420430414432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45778631 (or 45778623 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 420430414432 its reverse (234414034024), we get a palindrome (654844448456).

The spelling of 420430414432 in words is "four hundred twenty billion, four hundred thirty million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4592 9184 45778573 91557146 183114292 320450011 366228584 640900022 732457168 1281800044 1464914336 1876921493 2563600088 3753842986 5127200176 7507685972 10254400352 13138450451 15015371944 26276900902 30030743888 52553801804 60061487776 105107603608 210215207216 420430414432