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305413540325312 = 2629732254174099
BaseRepresentation
bin100010101110001011010000…
…1100101001010011111000000
31111001101020201202010212201012
41011130112201211022133000
5310012343412310402222
63001321013221100052
7121221254146136306
oct10534264145123700
91431336652125635
10305413540325312
1189350178443181
122a307234857628
13101554b110cb13
14555c14679c276
15254979155c1e2
hex115c5a194a7c0

305413540325312 has 56 divisors (see below), whose sum is σ = 635541845754000. Its totient is φ = 145421279410176.

The previous prime is 305413540325293. The next prime is 305413540325317. The reversal of 305413540325312 is 213523045314503.

It is a super-2 number, since 2×3054135403253122 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 305413540325312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305413540325317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1126951562 + ... + 1127222537.

Almost surely, 2305413540325312 is an apocalyptic number.

305413540325312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

305413540325312 is an abundant number, since it is smaller than the sum of its proper divisors (330128305428688).

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

305413540325312 is a wasteful number, since it uses less digits than its factorization.

305413540325312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254174213 (or 2254174203 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 41.

Adding to 305413540325312 its reverse (213523045314503), we get a palindrome (518936585639815).

The spelling of 305413540325312 in words is "three hundred five trillion, four hundred thirteen billion, five hundred forty million, three hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 73 116 146 232 292 464 584 928 1168 1856 2117 2336 4234 4672 8468 16936 33872 67744 135488 2254174099 4508348198 9016696396 18033392792 36066785584 65371048871 72133571168 130742097742 144267142336 164554709227 261484195484 329109418454 522968390968 658218836908 1045936781936 1316437673816 2091873563872 2632875347632 4183747127744 4772086567583 5265750695264 9544173135166 10531501390528 19088346270332 38176692540664 76353385081328 152706770162656 305413540325312