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114841440 = 25325711393
BaseRepresentation
bin1101101100001…
…01011101100000
322000002112211200
412312011131200
5213344411230
615221241200
72563064460
oct666053540
9260075750
10114841440
115990908a
1232563200
131aa3bc1c
1411375ba0
15a137160
hex6d85760

114841440 has 144 divisors (see below), whose sum is σ = 447920928. Its totient is φ = 26247168.

The previous prime is 114841429. The next prime is 114841457. The reversal of 114841440 is 44148411.

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

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 23 ways as a sum of consecutive naturals, for example, 4384 + ... + 15776.

It is an arithmetic number, because the mean of its divisors is an integer number (3110562).

Almost surely, 2114841440 is an apocalyptic number.

114841440 is a gapful number since it is divisible by the number (10) 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 114841440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223960464).

114841440 is an abundant number, since it is smaller than the sum of its proper divisors (333079488).

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

114841440 is a wasteful number, since it uses less digits than its factorization.

114841440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11421 (or 11410 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 114841440 is about 10716.4098465857. The cubic root of 114841440 is about 486.0708122191.

Adding to 114841440 its reverse (44148411), we get a palindrome (158989851).

The spelling of 114841440 in words is "one hundred fourteen million, eight hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 11393 22786 34179 45572 56965 68358 79751 91144 102537 113930 136716 159502 170895 182288 205074 227860 239253 273432 319004 341790 364576 398755 410148 455720 478506 512685 546864 638008 683580 717759 797510 820296 911440 957012 1025370 1093728 1196265 1276016 1367160 1435518 1595020 1640592 1822880 1914024 2050740 2392530 2552032 2734320 2871036 3190040 3281184 3588795 3828048 4101480 4785060 5468640 5742072 6380080 7177590 7656096 8202960 9570120 11484144 12760160 14355180 16405920 19140240 22968288 28710360 38280480 57420720 114841440