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435134430544 = 241129216139451
BaseRepresentation
bin1100101010100000000…
…10000111110101010000
31112121011021012100222011
412111100002013311100
524112123403234134
6531521544552304
743303015430062
oct6252002076520
91477137170864
10435134430544
111585a3051060
12703b9782694
133205766c308
14170bc4a3732
15b4bb180264
hex6550087d50

435134430544 has 80 divisors (see below), whose sum is σ = 951894699840. Its totient is φ = 190874880000.

The previous prime is 435134430539. The next prime is 435134430571. The reversal of 435134430544 is 445034431534.

It is a junction number, because it is equal to n+sod(n) for n = 435134430497 and 435134430506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11010019 + ... + 11049469.

It is an arithmetic number, because the mean of its divisors is an integer number (11898683748).

Almost surely, 2435134430544 is an apocalyptic number.

435134430544 is a gapful number since it is divisible by the number (44) 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 435134430544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475947349920).

435134430544 is an abundant number, since it is smaller than the sum of its proper divisors (516760269296).

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

435134430544 is a wasteful number, since it uses less digits than its factorization.

435134430544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41660 (or 41654 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

The spelling of 435134430544 in words is "four hundred thirty-five billion, one hundred thirty-four million, four hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 2161 2552 4322 5104 8644 17288 23771 34576 39451 47542 62669 78902 95084 125338 157804 190168 250676 315608 380336 433961 501352 631216 689359 867922 1002704 1144079 1378718 1735844 2288158 2757436 3471688 4576316 5514872 6943376 9152632 11029744 12584869 18305264 25169738 50339476 85253611 100678952 170507222 201357904 341014444 682028888 937789721 1364057776 1875579442 2472354719 3751158884 4944709438 7502317768 9889418876 15004635536 19778837752 27195901909 39557675504 54391803818 108783607636 217567215272 435134430544