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14535044040 = 23351143256079
BaseRepresentation
bin11011000100101101…
…10010101111001000
31101111222020202000110
431202112302233020
5214231432402130
610402144234320
71023122556456
oct154226625710
941458222013
1014535044040
1161897207a0
12299790b9a0
1314a8413a9a
149bc5919d6
155a10beab0
hex3625b2bc8

14535044040 has 128 divisors (see below), whose sum is σ = 48675686400. Its totient is φ = 3441688320.

The previous prime is 14535044039. The next prime is 14535044053. The reversal of 14535044040 is 4044053541.

14535044040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145350440402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14535043989 and 14535044007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71280 + ... + 184799.

It is an arithmetic number, because the mean of its divisors is an integer number (380278800).

Almost surely, 214535044040 is an apocalyptic number.

14535044040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14535044040 is an abundant number, since it is smaller than the sum of its proper divisors (34140642360).

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

14535044040 is a wasteful number, since it uses less digits than its factorization.

14535044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256147 (or 256143 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 14535044040 its reverse (4044053541), we get a palindrome (18579097581).

The spelling of 14535044040 in words is "fourteen billion, five hundred thirty-five million, forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 860 946 1032 1290 1320 1419 1720 1892 2365 2580 2838 3784 4730 5160 5676 7095 9460 11352 14190 18920 28380 56760 256079 512158 768237 1024316 1280395 1536474 2048632 2560790 2816869 3072948 3841185 5121580 5633738 6145896 7682370 8450607 10243160 11011397 11267476 14084345 15364740 16901214 22022794 22534952 28168690 30729480 33034191 33802428 42253035 44045588 55056985 56337380 66068382 67604856 84506070 88091176 110113970 112674760 121125367 132136764 165170955 169012140 220227940 242250734 264273528 330341910 338024280 363376101 440455880 484501468 605626835 660683820 726752202 969002936 1211253670 1321367640 1453504404 1816880505 2422507340 2907008808 3633761010 4845014680 7267522020 14535044040