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14434044135340 = 22510982119074229
BaseRepresentation
bin1101001000001011000000…
…0100101100011110101100
31220002212210100112120212211
43102002300010230132230
53342441410244312330
650410524111140204
73016553032544344
oct322026004543654
956085710476784
1014434044135340
11466549768a825
1217514b8214664
1380918075c96b
1437c87bbdbd24
151a06e14b2d2a
hexd20b012c7ac

14434044135340 has 96 divisors (see below), whose sum is σ = 30650144817600. Its totient is φ = 5709334256640.

The previous prime is 14434044135323. The next prime is 14434044135361. The reversal of 14434044135340 is 4353144043441.

It is a junction number, because it is equal to n+sod(n) for n = 14434044135293 and 14434044135302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3413108346 + ... + 3413112574.

It is an arithmetic number, because the mean of its divisors is an integer number (319272341850).

Almost surely, 214434044135340 is an apocalyptic number.

14434044135340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14434044135340 is an abundant number, since it is smaller than the sum of its proper divisors (16216100682260).

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

14434044135340 is a wasteful number, since it uses less digits than its factorization.

14434044135340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7075 (or 7073 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 14434044135340 its reverse (4353144043441), we get a palindrome (18787188178781).

The spelling of 14434044135340 in words is "fourteen trillion, four hundred thirty-four billion, forty-four million, one hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 109 218 436 545 821 1090 1642 1907 2180 3284 3814 4105 4229 7628 8210 8458 9535 16420 16916 19070 21145 38140 42290 84580 89489 178978 207863 357956 415726 447445 460961 831452 894890 921922 1039315 1565647 1789780 1843844 2078630 2304805 3131294 3472009 4157260 4609610 6262588 6944018 7828235 8064703 9219220 13888036 15656470 16129406 17360045 31312940 32258812 34720090 40323515 69440180 80647030 161294060 170655523 341311046 378448981 682622092 756897962 853277615 879052627 1513795924 1706555230 1758105254 1892244905 3413110460 3516210508 3784489810 4395263135 6621121163 7568979620 8790526270 13242242326 17581052540 26484484652 33105605815 66211211630 132422423260 721702206767 1443404413534 2886808827068 3608511033835 7217022067670 14434044135340