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114381336244 = 22731475947521
BaseRepresentation
bin110101010000110101…
…0001010111010110100
3101221020102122220210211
41222201222022322310
53333223110224434
6124313540555204
711156322213340
oct1524152127264
9357212586724
10114381336244
114456631195a
121a2020b2b04
13aa2b126a66
145771040620
152e96a96464
hex1aa1a8aeb4

114381336244 has 96 divisors (see below), whose sum is σ = 245259141120. Its totient is φ = 45642009600.

The previous prime is 114381336211. The next prime is 114381336269. The reversal of 114381336244 is 442633183411.

It is a junction number, because it is equal to n+sod(n) for n = 114381336197 and 114381336206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2383204 + ... + 2430724.

It is an arithmetic number, because the mean of its divisors is an integer number (2554782720).

Almost surely, 2114381336244 is an apocalyptic number.

114381336244 is a gapful number since it is divisible by the number (14) 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 114381336244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122629570560).

114381336244 is an abundant number, since it is smaller than the sum of its proper divisors (130877804876).

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

114381336244 is a wasteful number, since it uses less digits than its factorization.

114381336244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47669 (or 47667 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The spelling of 114381336244 in words is "one hundred fourteen billion, three hundred eighty-one million, three hundred thirty-six thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 31 47 59 62 94 118 124 188 217 236 329 413 434 658 826 868 1316 1457 1652 1829 2773 2914 3658 5546 5828 7316 10199 11092 12803 19411 20398 25606 38822 40796 47521 51212 77644 85963 95042 171926 190084 332647 343852 601741 665294 1203482 1330588 1473151 2233487 2406964 2803739 2946302 4466974 5607478 5892604 8933948 10312057 11214956 15634409 19626173 20624114 31268818 39252346 41248228 62537636 69238097 78504692 86915909 131775733 138476194 173831818 263551466 276952388 347663636 484666679 527102932 608411363 922430131 969333358 1216822726 1844860262 1938666716 2433645452 3689720524 4085047723 8170095446 16340190892 28595334061 57190668122 114381336244