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114121754516 = 22711291936653
BaseRepresentation
bin110101001001000101…
…1111100011110010100
3101220120100012210121202
41222102023330132110
53332210132121031
6124232105132032
711150020623320
oct1522213743624
9356510183552
10114121754516
1144442834300
121a14b18a018
13a9b940acc3
14574878c980
152e7ddbd2cb
hex1a922fc794

114121754516 has 72 divisors (see below), whose sum is σ = 251159072640. Its totient is φ = 44413427520.

The previous prime is 114121754441. The next prime is 114121754519. The reversal of 114121754516 is 615457121411.

It is a happy number.

114121754516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 114121754516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114121754519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3095246 + ... + 3131898.

Almost surely, 2114121754516 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 114121754516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125579536320).

114121754516 is an abundant number, since it is smaller than the sum of its proper divisors (137037318124).

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

114121754516 is a wasteful number, since it uses less digits than its factorization.

114121754516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37605 (or 37592 counting only the distinct ones).

The product of its digits is 33600, while the sum is 38.

Adding to 114121754516 its reverse (615457121411), we get a palindrome (729578875927).

The spelling of 114121754516 in words is "one hundred fourteen billion, one hundred twenty-one million, seven hundred fifty-four thousand, five hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 847 919 1694 1838 3388 3676 6433 10109 12866 20218 25732 36653 40436 70763 73306 111199 141526 146612 222398 256571 283052 403183 444796 513142 778393 806366 1026284 1556786 1612732 2822281 3113572 4435013 5644562 8870026 11289124 17740052 31045091 33684107 62090182 67368214 124180364 134736428 235788749 370525177 471577498 741050354 943154996 1482100708 2593676239 4075776947 5187352478 8151553894 10374704956 16303107788 28530438629 57060877258 114121754516