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43434200243434 = 27211134925362927
BaseRepresentation
bin10011110000000110100000…
…00100111001110011101010
312200210021021002120000221011
421320003100010321303222
521143111220230242214
6232213221321534134
712102005654344300
oct1170032004716352
9180707232500834
1043434200243434
111292638278a240
124a55a0994434a
131b30a9b060520
14aa232577a270
15504c535aeac4
hex2780d0139cea

43434200243434 has 96 divisors (see below), whose sum is σ = 89041163694336. Its totient is φ = 15620126014080.

The previous prime is 43434200243393. The next prime is 43434200243443.

43434200243434 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×434342002434342 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 690200079 + ... + 690263005.

It is an arithmetic number, because the mean of its divisors is an integer number (927512121816).

Almost surely, 243434200243434 is an apocalyptic number.

43434200243434 is an abundant number, since it is smaller than the sum of its proper divisors (45606963450902).

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

43434200243434 is a wasteful number, since it uses less digits than its factorization.

43434200243434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112220 (or 112213 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 40.

It can be divided in two parts, 43434200 and 243434, that added together give a palindrome (43677634).

The spelling of 43434200243434 in words is "forty-three trillion, four hundred thirty-four billion, two hundred million, two hundred forty-three thousand, four hundred thirty-four".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 286 539 637 1001 1078 1274 2002 7007 14014 49253 62927 98506 125854 344771 440489 541783 640289 689542 692197 818051 880978 1083566 1280578 1384394 1636102 2413397 3083423 3792481 4482023 4826794 4845379 5726357 6166846 7043179 7584962 8964046 8998561 9690758 11452714 14086358 17997122 26547367 31374161 33917653 40084499 49302253 53094734 62748322 62989927 67835306 80168998 98604506 125979854 345115771 440929489 690231542 881858978 3099343531 6198687062 21695404717 34092778841 40291465903 43390809434 68185557682 80582931806 151867833019 238649451887 282040261321 303735666038 443206124933 477298903774 564080522642 886412249866 1670546163209 1974281829247 3102442874531 3341092326418 3948563658494 6204885749062 21717100121717 43434200243434