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421342001024 = 2771013464213
BaseRepresentation
bin1100010000110011111…
…00001011011110000000
31111021120001022100120012
412020121330023132000
523400402023013044
6521321205204052
742304150626230
oct6103174133600
91437501270505
10421342001024
1115276563667a
12697aa700628
133096a068509
14165707bdcc0
15ae6039e59e
hex6219f0b780

421342001024 has 64 divisors (see below), whose sum is σ = 960254511840. Its totient is φ = 180396496896.

The previous prime is 421342001021. The next prime is 421342001057. The reversal of 421342001024 is 420100243124.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421342001021) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 675542 + ... + 1139754.

Almost surely, 2421342001024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421342001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480127255920).

421342001024 is an abundant number, since it is smaller than the sum of its proper divisors (538912510816).

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

421342001024 is a wasteful number, since it uses less digits than its factorization.

421342001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465247 (or 465235 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 421342001024 its reverse (420100243124), we get a palindrome (841442244148).

The spelling of 421342001024 in words is "four hundred twenty-one billion, three hundred forty-two million, one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1013 2026 4052 7091 8104 14182 16208 28364 32416 56728 64832 113456 129664 226912 453824 464213 907648 928426 1856852 3249491 3713704 6498982 7427408 12997964 14854816 25995928 29709632 51991856 59419264 103983712 207967424 415934848 470247769 940495538 1880991076 3291734383 3761982152 6583468766 7523964304 13166937532 15047928608 26333875064 30095857216 52667750128 60191714432 105335500256 210671000512 421342001024