Search a number
-
+
43434240032 = 2517217212729
BaseRepresentation
bin101000011100111000…
…011110100000100000
311011010000012000011202
4220130320132200200
51202423131140112
631541534300332
73065224643261
oct503470364040
9134100160152
1043434240032
1117469550447
1285020576a8
134132706261
14216072c968
1511e32546c2
hexa1ce1e820

43434240032 has 72 divisors (see below), whose sum is σ = 90923201460. Its totient is φ = 20420280320.

The previous prime is 43434240007. The next prime is 43434240061. The reversal of 43434240032 is 23004243434.

It can be written as a sum of positive squares in 6 ways, for example, as 43229063056 + 205176976 = 207916^2 + 14324^2 .

It is a super-3 number, since 3×434342400323 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 43434239977 and 43434240004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15914444 + ... + 15917172.

Almost surely, 243434240032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43434240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45461600730).

43434240032 is an abundant number, since it is smaller than the sum of its proper divisors (47488961428).

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

43434240032 is a wasteful number, since it uses less digits than its factorization.

43434240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4494 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 43434240032 its reverse (23004243434), we get a palindrome (66438483466).

The spelling of 43434240032 in words is "forty-three billion, four hundred thirty-four million, two hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 1721 2312 2729 3442 4624 5458 6884 9248 10916 13768 21832 27536 29257 43664 46393 55072 58514 87328 92786 117028 185572 234056 371144 468112 497369 742288 788681 936224 994738 1484576 1577362 1989476 3154724 3978952 4696609 6309448 7957904 9393218 12618896 15915808 18786436 25237792 37572872 75145744 79842353 150291488 159684706 319369412 638738824 1277477648 1357320001 2554955296 2714640002 5429280004 10858560008 21717120016 43434240032