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114123235352 = 23771130721961
BaseRepresentation
bin110101001001001000…
…1100110000000011000
3101220120110000000221112
41222102101212000120
53332211022012402
6124232200555452
711150036331530
oct1522221460030
9356513000845
10114123235352
1144443655935
121a14b782b88
13a9b9809039
145748a564c0
152e7e0b1e52
hex1a92466018

114123235352 has 64 divisors (see below), whose sum is σ = 248195197440. Its totient is φ = 48181996800.

The previous prime is 114123235309. The next prime is 114123235363. The reversal of 114123235352 is 253532321411.

It is a super-2 number, since 2×1141232353522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5185652 + ... + 5207612.

It is an arithmetic number, because the mean of its divisors is an integer number (3878049960).

Almost surely, 2114123235352 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 114123235352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124097598720).

114123235352 is an abundant number, since it is smaller than the sum of its proper divisors (134071962088).

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

114123235352 is a wasteful number, since it uses less digits than its factorization.

114123235352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23352 (or 23348 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

Adding to 114123235352 its reverse (253532321411), we get a palindrome (367655556763).

The spelling of 114123235352 in words is "one hundred fourteen billion, one hundred twenty-three million, two hundred thirty-five thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 71 142 284 497 568 994 1307 1988 2614 3976 5228 9149 10456 18298 21961 36596 43922 73192 87844 92797 153727 175688 185594 307454 371188 614908 649579 742376 1229816 1299158 1559231 2598316 3118462 5196632 6236924 10914617 12473848 21829234 28703027 43658468 57406054 87316936 114812108 200921189 229624216 401842378 803684756 1607369512 2037914917 4075829834 8151659668 14265404419 16303319336 28530808838 57061617676 114123235352