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114043341312 = 293323358681
BaseRepresentation
bin110101000110110000…
…0110100101000000000
3101220100212122222221000
41222031200310220000
53332030043410222
6124220224332000
711145046256355
oct1521540645000
9356325588830
10114043341312
11444025472aa
121a128a74000
13a9a60b4c64
14573c1ba62c
152e7707e9ac
hex1a8d834a00

114043341312 has 160 divisors (see below), whose sum is σ = 352254418560. Its totient is φ = 36361543680.

The previous prime is 114043341311. The next prime is 114043341359. The reversal of 114043341312 is 213143340411.

114043341312 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 4 + 3 + 341 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114043341311) by changing a digit.

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, 138612 + ... + 497292.

It is an arithmetic number, because the mean of its divisors is an integer number (2201590116).

Almost surely, 2114043341312 is an apocalyptic number.

114043341312 is a gapful number since it is divisible by the number (12) 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 114043341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176127209280).

114043341312 is an abundant number, since it is smaller than the sum of its proper divisors (238211077248).

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

114043341312 is an equidigital number, since it uses as much as digits as its factorization.

114043341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358731 (or 358709 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 114043341312 its reverse (213143340411), we get a palindrome (327186681723).

Subtracting 114043341312 from its reverse (213143340411), we obtain a palindrome (99099999099).

The spelling of 114043341312 in words is "one hundred fourteen billion, forty-three million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 512 552 576 621 736 768 828 864 1104 1152 1242 1472 1536 1656 1728 2208 2304 2484 2944 3312 3456 4416 4608 4968 5888 6624 6912 8832 9936 11776 13248 13824 17664 19872 26496 35328 39744 52992 79488 105984 158976 317952 358681 717362 1076043 1434724 2152086 2869448 3228129 4304172 5738896 6456258 8249663 8608344 9684387 11477792 12912516 16499326 17216688 19368774 22955584 24748989 25825032 32998652 34433376 38737548 45911168 49497978 51650064 65997304 68866752 74246967 77475096 91822336 98995956 103300128 131994608 137733504 148493934 154950192 183644672 197991912 206600256 222740901 263989216 275467008 296987868 309900384 395983824 413200512 445481802 527978432 550934016 593975736 619800768 791967648 826401024 890963604 1055956864 1187951472 1239601536 1583935296 1652802048 1781927208 2111913728 2375902944 2479203072 3167870592 3563854416 4223827456 4751805888 4958406144 6335741184 7127708832 9503611776 12671482368 14255417664 19007223552 28510835328 38014447104 57021670656 114043341312