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114321441216 = 2633976612269
BaseRepresentation
bin110101001111000010…
…1101100000111000000
3101221002020221221021110
41222132011230013000
53333112242104331
6124304001123320
711154664134303
oct1523605540700
9357066857243
10114321441216
1144535522934
121a1a6029540
13aa1b8b5808
1457670ccb3a
152e916b4946
hex1a9e16c1c0

114321441216 has 112 divisors (see below), whose sum is σ = 303829984160. Its totient is φ = 37936926720.

The previous prime is 114321441139. The next prime is 114321441233. The reversal of 114321441216 is 612144123411.

It is a nude number because it is divisible by every one of its digits.

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, 50382930 + ... + 50385198.

Almost surely, 2114321441216 is an apocalyptic number.

114321441216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114321441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151914992080).

114321441216 is an abundant number, since it is smaller than the sum of its proper divisors (189508542944).

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

114321441216 is a wasteful number, since it uses less digits than its factorization.

114321441216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3332 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

Adding to 114321441216 its reverse (612144123411), we get a palindrome (726465564627).

The spelling of 114321441216 in words is "one hundred fourteen billion, three hundred twenty-one million, four hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 397 661 794 1191 1322 1588 1983 2269 2382 2644 3176 3966 4538 4764 5288 6352 6807 7932 9076 9528 10576 12704 13614 15864 18152 19056 21152 25408 27228 31728 36304 38112 42304 54456 63456 72608 76224 108912 126912 145216 217824 262417 435648 524834 787251 900793 1049668 1499809 1574502 1801586 2099336 2702379 2999618 3149004 3603172 4198672 4499427 5404758 5999236 6298008 7206344 8397344 8998854 10809516 11998472 12596016 14412688 16794688 17997708 21619032 23996944 25192032 28825376 35995416 43238064 47993888 50384064 57650752 71990832 86476128 95987776 143981664 172952256 287963328 595424173 1190848346 1786272519 2381696692 3572545038 4763393384 7145090076 9526786768 14290180152 19053573536 28580360304 38107147072 57160720608 114321441216