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114213617016 = 23341130788807
BaseRepresentation
bin110101001011110101…
…0010111110101111000
3101220210202001220021120
41222113222113311320
53332402141221031
6124245150105240
711152214504112
oct1522752276570
9356722056246
10114213617016
114448a677a24
121a175aab220
13aa02462905
145756a623b2
152e86eb6a96
hex1a97a97d78

114213617016 has 64 divisors (see below), whose sum is σ = 292725377280. Its totient is φ = 37113803520.

The previous prime is 114213616999. The next prime is 114213617059. The reversal of 114213617016 is 610716312411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1241685 + ... + 1330491.

It is an arithmetic number, because the mean of its divisors is an integer number (4573834020).

Almost surely, 2114213617016 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 114213617016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146362688640).

114213617016 is an abundant number, since it is smaller than the sum of its proper divisors (178511760264).

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

114213617016 is a wasteful number, since it uses less digits than its factorization.

114213617016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90164 (or 90160 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

Adding to 114213617016 its reverse (610716312411), we get a palindrome (724929929427).

The spelling of 114213617016 in words is "one hundred fourteen billion, two hundred thirteen million, six hundred seventeen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 1307 2614 3921 5228 7842 10456 15684 31368 53587 88807 107174 160761 177614 214348 266421 321522 355228 428696 532842 643044 710456 1065684 1286088 2131368 3641087 7282174 10923261 14564348 21846522 29128696 43693044 87386088 116070749 232141498 348212247 464282996 696424494 928565992 1392848988 2785697976 4758900709 9517801418 14276702127 19035602836 28553404254 38071205672 57106808508 114213617016