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420421124024 = 23112974477519
BaseRepresentation
bin1100001111000110000…
…11010011111110111000
31111012011212111221210122
412013203003103332320
523342010301432044
6521045551432412
742242266406516
oct6074303237670
91435155457718
10420421124024
11152332845100
1269592225708
1330851342495
14164c438b4b6
15ae095ebdee
hex61e30d3fb8

420421124024 has 48 divisors (see below), whose sum is σ = 875399935200. Its totient is φ = 189130360320.

The previous prime is 420421124003. The next prime is 420421124141.

It is a happy number.

420421124024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 420421123984 and 420421124002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2144864 + ... + 2332655.

It is an arithmetic number, because the mean of its divisors is an integer number (18237498650).

Almost surely, 2420421124024 is an apocalyptic number.

420421124024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420421124024 is an abundant number, since it is smaller than the sum of its proper divisors (454978811176).

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

420421124024 is a wasteful number, since it uses less digits than its factorization.

420421124024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4477644 (or 4477629 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 420421 and 124024, that added together give a palindrome (544445).

The spelling of 420421124024 in words is "four hundred twenty billion, four hundred twenty-one million, one hundred twenty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 97 121 194 242 388 484 776 968 1067 2134 4268 8536 11737 23474 46948 93896 4477519 8955038 17910076 35820152 49252709 98505418 197010836 394021672 434319343 541779799 868638686 1083559598 1737277372 2167119196 3474554744 4334238392 4777512773 9555025546 19110051092 38220102184 52552640503 105105281006 210210562012 420421124024