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421691062142240 = 255116138920115021
BaseRepresentation
bin101111111100001101001100…
…1111101101100010100100000
32001022002021100011111020010122
41133320122121331230110200
5420232441243402022430
64052510111035415412
7154552113426004412
oct13770323175542440
92038067304436118
10421691062142240
111124001a2130410
123b3666775b4568
131513b3b1634007
14761bd561769b2
1533b4243ccdee5
hex17f8699f6c520

421691062142240 has 384 divisors, whose sum is σ = 1108240525566720. Its totient is φ = 150335907840000.

The previous prime is 421691062142213. The next prime is 421691062142257. The reversal of 421691062142240 is 42241260196124.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 421691062142191 and 421691062142200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83985470930 + ... + 83985475950.

It is an arithmetic number, because the mean of its divisors is an integer number (2886043035330).

Almost surely, 2421691062142240 is an apocalyptic number.

421691062142240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421691062142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554120262783360).

421691062142240 is an abundant number, since it is smaller than the sum of its proper divisors (686549463424480).

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

421691062142240 is a wasteful number, since it uses less digits than its factorization.

421691062142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7508 (or 7500 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 421691062142240 in words is "four hundred twenty-one trillion, six hundred ninety-one billion, sixty-two million, one hundred forty-two thousand, two hundred forty".