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114510321450350 = 2527292389027761
BaseRepresentation
bin11010000010010110000011…
…000010000111110101101110
3120000110002011012002012101122
4122002112003002013311232
5110002114114242402400
61043313152045340542
733056045341343330
oct3202260302076556
9500402135065348
10114510321450350
11335396111a9711
1210a14a4ab67752
134bb837a6a3517
14203c4871c1450
15d38a22508685
hex682583087d6e

114510321450350 has 72 divisors (see below), whose sum is σ = 252099326442288. Its totient is φ = 37906864934400.

The previous prime is 114510321450331. The next prime is 114510321450353. The reversal of 114510321450350 is 53054123015411.

It is a happy number.

It is a super-3 number, since 3×1145103214503503 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 114510321450350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114510321450353) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 194219531 + ... + 194808230.

Almost surely, 2114510321450350 is an apocalyptic number.

114510321450350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114510321450350 is an abundant number, since it is smaller than the sum of its proper divisors (137589004991938).

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

114510321450350 is a wasteful number, since it uses less digits than its factorization.

114510321450350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389027838 (or 389027804 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

Adding to 114510321450350 its reverse (53054123015411), we get a palindrome (167564444465761).

The spelling of 114510321450350 in words is "one hundred fourteen trillion, five hundred ten billion, three hundred twenty-one million, four hundred fifty thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 25 29 35 50 58 70 145 175 203 290 350 406 725 841 1015 1450 1682 2030 4205 5075 5887 8410 10150 11774 21025 29435 42050 58870 147175 294350 389027761 778055522 1945138805 2723194327 3890277610 5446388654 9725694025 11281805069 13615971635 19451388050 22563610138 27231943270 56409025345 68079858175 78972635483 112818050690 136159716350 157945270966 282045126725 327172347001 394863177415 564090253450 654344694002 789726354830 1635861735005 1974315887075 2290206429007 3271723470010 3948631774150 4580412858014 8179308675025 11451032145035 16358617350050 22902064290070 57255160725175 114510321450350