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14300900222616 = 2334726171103993
BaseRepresentation
bin1101000000011011000000…
…0100111110011010011000
31212122011010022210000210000
43100012300010332122120
53333301220424110431
650225424243053000
73004130432136600
oct320066004763230
955564108700700
1014300900222616
114613a83396517
12172b73a671160
137c9752426657
1437624ad87c00
1519beec62e9e6
hexd01b013e698

14300900222616 has 480 divisors, whose sum is σ = 48026833541280. Its totient is φ = 3962344780800.

The previous prime is 14300900222551. The next prime is 14300900222617. The reversal of 14300900222616 is 61622200900341.

It is a happy number.

14300900222616 is a `hidden beast` number, since 1 + 4 + 30 + 0 + 9 + 0 + 0 + 2 + 2 + 2 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14300900222617) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 137465916 + ... + 137569908.

It is an arithmetic number, because the mean of its divisors is an integer number (100055903211).

Almost surely, 214300900222616 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 14300900222616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24013416770640).

14300900222616 is an abundant number, since it is smaller than the sum of its proper divisors (33725933318664).

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

14300900222616 is a wasteful number, since it uses less digits than its factorization.

14300900222616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104157 (or 104137 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 14300900222616 in words is "fourteen trillion, three hundred billion, nine hundred million, two hundred twenty-two thousand, six hundred sixteen".