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434443144140 = 22335804524341
BaseRepresentation
bin1100101001001101101…
…01000100101111001100
31112112101002102101022000
412110212311010233030
524104214421103030
6531325212152300
743246622536605
oct6244665045714
91475332371260
10434443144140
11158278913385
1270246168690
1331c773910c5
1417054756dac
15b47a62e860
hex6526d44bcc

434443144140 has 48 divisors (see below), whose sum is σ = 1351600894560. Its totient is φ = 115851504960.

The previous prime is 434443144129. The next prime is 434443144231. The reversal of 434443144140 is 41441344434.

434443144140 is a `hidden beast` number, since 4 + 3 + 44 + 431 + 44 + 140 = 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 = 434443144095 and 434443144104.

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 15 ways as a sum of consecutive naturals, for example, 402261631 + ... + 402262710.

It is an arithmetic number, because the mean of its divisors is an integer number (28158351970).

Almost surely, 2434443144140 is an apocalyptic number.

It is an amenable number.

434443144140 is an abundant number, since it is smaller than the sum of its proper divisors (917157750420).

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

434443144140 is a wasteful number, since it uses less digits than its factorization.

434443144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804524359 (or 804524351 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 434443144140 its reverse (41441344434), we get a palindrome (475884488574).

The spelling of 434443144140 in words is "four hundred thirty-four billion, four hundred forty-three million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 804524341 1609048682 2413573023 3218097364 4022621705 4827146046 7240719069 8045243410 9654292092 12067865115 14481438138 16090486820 21722157207 24135730230 28962876276 36203595345 43444314414 48271460460 72407190690 86888628828 108610786035 144814381380 217221572070 434443144140