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114159456 = 253553277
BaseRepresentation
bin1101100110111…
…10111101100000
321221210220100000
412303132331200
5213211100311
615154500000
72554224255
oct663367540
9257726300
10114159456
1159492764
1232294600
131a860698
141123942c
15a050056
hex6cdef60

114159456 has 144 divisors (see below), whose sum is σ = 344255184. Its totient is φ = 37200384.

The previous prime is 114159443. The next prime is 114159481. The reversal of 114159456 is 654951411.

114159456 is a `hidden beast` number, since 1 + 14 + 1 + 594 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114159456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411990 + ... + 412266.

It is an arithmetic number, because the mean of its divisors is an integer number (2390661).

Almost surely, 2114159456 is an apocalyptic number.

114159456 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 114159456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172127592).

114159456 is an abundant number, since it is smaller than the sum of its proper divisors (230095728).

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

114159456 is an equidigital number, since it uses as much as digits as its factorization.

114159456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 114159456 is about 10684.5428540486. The cubic root of 114159456 is about 485.1067267870.

The spelling of 114159456 in words is "one hundred fourteen million, one hundred fifty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 81 96 106 108 144 159 162 212 216 243 277 288 318 324 424 432 477 486 554 636 648 831 848 864 954 972 1108 1272 1296 1431 1662 1696 1908 1944 2216 2493 2544 2592 2862 3324 3816 3888 4293 4432 4986 5088 5724 6648 7479 7632 7776 8586 8864 9972 11448 12879 13296 14681 14958 15264 17172 19944 22437 22896 25758 26592 29362 29916 34344 39888 44043 44874 45792 51516 58724 59832 67311 68688 79776 88086 89748 103032 117448 119664 132129 134622 137376 176172 179496 206064 234896 239328 264258 269244 352344 358992 396387 412128 469792 528516 538488 704688 717984 792774 1057032 1076976 1189161 1409376 1585548 2114064 2153952 2378322 3171096 3567483 4228128 4756644 6342192 7134966 9513288 12684384 14269932 19026576 28539864 38053152 57079728 114159456