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420513522444 = 223223819162003
BaseRepresentation
bin1100001111010001000…
…11110010001100001100
31111012102022101021121100
412013220203302030030
523342202430204234
6521103052103100
742244500651621
oct6075043621414
91435368337540
10420513522444
1115237aa14434
12695b9164a90
1330867523cc2
14164d2760348
15ae1279e399
hex61e88f230c

420513522444 has 72 divisors (see below), whose sum is σ = 1109333901312. Its totient is φ = 134058244320.

The previous prime is 420513522433. The next prime is 420513522461. The reversal of 420513522444 is 444225315024.

420513522444 is a `hidden beast` number, since 4 + 205 + 1 + 3 + 5 + 2 + 2 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 420513522399 and 420513522408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6751147 + ... + 6813149.

It is an arithmetic number, because the mean of its divisors is an integer number (15407415296).

Almost surely, 2420513522444 is an apocalyptic number.

It is an amenable number.

420513522444 is an abundant number, since it is smaller than the sum of its proper divisors (688820378868).

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

420513522444 is a wasteful number, since it uses less digits than its factorization.

420513522444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70227 (or 70222 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 420513522444 its reverse (444225315024), we get a palindrome (864738837468).

The spelling of 420513522444 in words is "four hundred twenty billion, five hundred thirteen million, five hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 8191 16382 24573 32764 49146 62003 73719 98292 124006 147438 186009 188393 248012 294876 372018 376786 558027 565179 744036 753572 1116054 1130358 1426069 1695537 2232108 2260716 2852138 3391074 4278207 5704276 6782148 8556414 12834621 17112828 25669242 51338484 507866573 1015733146 1523599719 2031466292 3047199438 4570799157 6094398876 9141598314 11680931179 18283196628 23361862358 35042793537 46723724716 70085587074 105128380611 140171174148 210256761222 420513522444