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350430101430032 = 241319976837110183
BaseRepresentation
bin100111110101101101101110…
…1101101101101111100010000
31200221202210100021211022012202
41033223123131231231330100
5331412421321431230112
63241145211031542332
7133545511410100361
oct11753333555557420
91627683307738182
10350430101430032
11a1726631621908
123337784bb2a9a8
131206c555852890
146276c9bcd1b68
152a7a7578796c2
hex13eb6ddb6df10

350430101430032 has 80 divisors (see below), whose sum is σ = 734876419065600. Its totient is φ = 160920666441216.

The previous prime is 350430101430007. The next prime is 350430101430047. The reversal of 350430101430032 is 230034101034053.

It is a junction number, because it is equal to n+sod(n) for n = 350430101429977 and 350430101430004.

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, 3180382013 + ... + 3180492195.

It is an arithmetic number, because the mean of its divisors is an integer number (9185955238320).

Almost surely, 2350430101430032 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 350430101430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367438209532800).

350430101430032 is an abundant number, since it is smaller than the sum of its proper divisors (384446317635568).

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

350430101430032 is a wasteful number, since it uses less digits than its factorization.

350430101430032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187240 (or 187234 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 350430101430032 its reverse (230034101034053), we get a palindrome (580464202464085).

The spelling of 350430101430032 in words is "three hundred fifty trillion, four hundred thirty billion, one hundred one million, four hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 199 208 398 796 1592 2587 3184 5174 10348 20696 41392 76837 110183 153674 220366 307348 440732 614696 881464 998881 1229392 1432379 1762928 1997762 2864758 3995524 5729516 7991048 11459032 15290563 15982096 21926417 22918064 30581126 43852834 61162252 87705668 122324504 175411336 198777319 244649008 285043421 350822672 397554638 570086842 795109276 1140173684 1590218552 2280347368 3180437104 4560694736 8466131171 16932262342 33864524684 67729049368 110059705223 135458098736 220119410446 440238820892 880477641784 1684760103029 1760955283568 3369520206058 6739040412116 13478080824232 21901881339377 26956161648464 43803762678754 87607525357508 175215050715016 350430101430032