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350443030130432 = 2816314515787919
BaseRepresentation
bin100111110101110011110000…
…0010100110010111100000000
31200221211000201022110100000022
41033223213200110302330000
5331413124311203133212
63241155145554513012
7133546446656166431
oct11753474024627400
91627730638410008
10350443030130432
11a1731066528878
123337a259895768
131207083621c365
146277766dbb488
152a7ac628e5772
hex13eb9e0532f00

350443030130432 has 72 divisors (see below), whose sum is σ = 704293830831360. Its totient is φ = 174026488089600.

The previous prime is 350443030130353. The next prime is 350443030130443. The reversal of 350443030130432 is 234031030344053.

It is a junction number, because it is equal to n+sod(n) for n = 350443030130392 and 350443030130401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57653369 + ... + 63441287.

Almost surely, 2350443030130432 is an apocalyptic number.

350443030130432 is a gapful number since it is divisible by the number (32) 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 350443030130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352146915415680).

350443030130432 is an abundant number, since it is smaller than the sum of its proper divisors (353850800700928).

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

350443030130432 is a wasteful number, since it uses less digits than its factorization.

350443030130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5789549 (or 5789535 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 35.

Adding to 350443030130432 its reverse (234031030344053), we get a palindrome (584474060474485).

The spelling of 350443030130432 in words is "three hundred fifty trillion, four hundred forty-three billion, thirty million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 163 256 326 652 1304 1451 2608 2902 5216 5804 10432 11608 20864 23216 41728 46432 92864 185728 236513 371456 473026 946052 1892104 3784208 5787919 7568416 11575838 15136832 23151676 30273664 46303352 60547328 92606704 185213408 370426816 740853632 943430797 1481707264 1886861594 3773723188 7547446376 8398270469 15094892752 16796540938 30189785504 33593081876 60379571008 67186163752 120759142016 134372327504 241518284032 268744655008 537489310016 1074978620032 1368918086447 2149957240064 2737836172894 5475672345788 10951344691576 21902689383152 43805378766304 87610757532608 175221515065216 350443030130432