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424013110014 = 231371136756009
BaseRepresentation
bin1100010101110010010…
…01101001101011111110
31111112110012110202020210
412022321021221223332
523421334324010024
6522442224253250
742430303653054
oct6127111515376
91445405422223
10424013110014
1115390638a36a
126a215171226
1330ca4577990
14167454521d4
15b069b29129
hex62b9269afe

424013110014 has 64 divisors (see below), whose sum is σ = 926815841280. Its totient is φ = 128531639040.

The previous prime is 424013109977. The next prime is 424013110019. The reversal of 424013110014 is 410011310424.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424013110019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7542442 + ... + 7598450.

It is an arithmetic number, because the mean of its divisors is an integer number (14481497520).

Almost surely, 2424013110014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424013110014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463407920640).

424013110014 is an abundant number, since it is smaller than the sum of its proper divisors (502802731266).

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

424013110014 is a wasteful number, since it uses less digits than its factorization.

424013110014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57465.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 424013110014 its reverse (410011310424), we get a palindrome (834024420438).

The spelling of 424013110014 in words is "four hundred twenty-four billion, thirteen million, one hundred ten thousand, fourteen".

Divisors: 1 2 3 6 13 26 39 71 78 142 213 426 923 1367 1846 2734 2769 4101 5538 8202 17771 35542 53313 56009 97057 106626 112018 168027 194114 291171 336054 582342 728117 1261741 1456234 2184351 2523482 3785223 3976639 4368702 7570446 7953278 11929917 23859834 51696307 76564303 103392614 153128606 155088921 229692909 310177842 459385818 995335939 1990671878 2986007817 5436065513 5972015634 10872131026 16308196539 32616393078 70668851669 141337703338 212006555007 424013110014