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423514010000 = 2454411032961
BaseRepresentation
bin1100010100110110110…
…01101111000110010000
31111111011102022211202002
412022123121233012100
523414324041310000
6522320515013132
742412033455014
oct6123331570620
91444142284662
10423514010000
1115367a688114
126a0b5b9a1a8
1330c25049423
14166d9052544
15b03addc8d5
hex629b66f190

423514010000 has 100 divisors (see below), whose sum is σ = 1050379805244. Its totient is φ = 165273600000.

The previous prime is 423514009973. The next prime is 423514010027. The reversal of 423514010000 is 10415324.

It is an interprime number because it is at equal distance from previous prime (423514009973) and next prime (423514010027).

It can be written as a sum of positive squares in 10 ways, for example, as 394263433216 + 29250576784 = 627904^2 + 171028^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106481 + ... + 926480.

Almost surely, 2423514010000 is an apocalyptic number.

423514010000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423514010000 is an abundant number, since it is smaller than the sum of its proper divisors (626865795244).

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

423514010000 is a wasteful number, since it uses less digits than its factorization.

423514010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033030 (or 1033009 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 423514010000 its reverse (10415324), we get a palindrome (423524425324).

The spelling of 423514010000 in words is "four hundred twenty-three billion, five hundred fourteen million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 625 656 820 1000 1025 1250 1640 2000 2050 2500 3280 4100 5000 5125 8200 10000 10250 16400 20500 25625 41000 51250 82000 102500 205000 410000 1032961 2065922 4131844 5164805 8263688 10329610 16527376 20659220 25824025 41318440 42351401 51648050 82636880 84702802 103296100 129120125 169405604 206592200 211757005 258240250 338811208 413184400 423514010 516480500 645600625 677622416 847028020 1032961000 1058785025 1291201250 1694056040 2065922000 2117570050 2582402500 3388112080 4235140100 5164805000 5293925125 8470280200 10329610000 10587850250 16940560400 21175700500 26469625625 42351401000 52939251250 84702802000 105878502500 211757005000 423514010000