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14131333410432 = 273717309246617
BaseRepresentation
bin1100110110100011010100…
…0110111010111010000000
31212000221102220220110121220
43031220311012322322000
53323011432323113212
650015502301515040
72655645421046640
oct315506506727200
955027386813556
1014131333410432
114559079341807
1217028b6b72a80
137b676b160b24
1436bd62a74520
151978c5d5138c
hexcda351bae80

14131333410432 has 128 divisors (see below), whose sum is σ = 45422143251840. Its totient is φ = 3800022417408.

The previous prime is 14131333410421. The next prime is 14131333410539. The reversal of 14131333410432 is 23401433313141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 14131333410393 and 14131333410402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154577613 + ... + 154669004.

It is an arithmetic number, because the mean of its divisors is an integer number (354860494155).

Almost surely, 214131333410432 is an apocalyptic number.

14131333410432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14131333410432 is an abundant number, since it is smaller than the sum of its proper divisors (31290809841408).

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

14131333410432 is a wasteful number, since it uses less digits than its factorization.

14131333410432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309246658 (or 309246646 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 14131333410432 its reverse (23401433313141), we get a palindrome (37532766723573).

The spelling of 14131333410432 in words is "fourteen trillion, one hundred thirty-one billion, three hundred thirty-three million, four hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 408 448 476 544 672 714 816 896 952 1088 1344 1428 1632 1904 2176 2688 2856 3264 3808 5712 6528 7616 11424 15232 22848 45696 309246617 618493234 927739851 1236986468 1855479702 2164726319 2473972936 3710959404 4329452638 4947945872 5257192489 6494178957 7421918808 8658905276 9895891744 10514384978 12988357914 14843837616 15771577467 17317810552 19791783488 21028769956 25976715828 29687675232 31543154934 34635621104 36800347423 39583566976 42057539912 51953431656 59375350464 63086309868 69271242208 73600694846 84115079824 103906863312 110401042269 118750700928 126172619736 138542484416 147201389692 168230159648 207813726624 220802084538 252345239472 277084968832 294402779384 336460319296 415627453248 441604169076 504690478944 588805558768 672920638592 831254906496 883208338152 1009380957888 1177611117536 1766416676304 2018761915776 2355222235072 3532833352608 4710444470144 7065666705216 14131333410432