Search a number
-
+
43864340454 = 23311355920749
BaseRepresentation
bin101000110110100001…
…001011011111100110
311012012222111101001000
4220312201023133212
51204313232343304
632052341014130
73111666512334
oct506641133746
9135188441030
1043864340454
111766a305240
1286020b4346
1341a085644c
1421a18cab54
15121adb1939
hexa3684b7e6

43864340454 has 64 divisors (see below), whose sum is σ = 106372800000. Its totient is φ = 13287849120.

The previous prime is 43864340453. The next prime is 43864340461. The reversal of 43864340454 is 45404346834.

43864340454 is a `hidden beast` number, since 43 + 86 + 43 + 40 + 454 = 666.

It is a super-2 number, since 2×438643404542 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43864340453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2103672 + ... + 2124420.

It is an arithmetic number, because the mean of its divisors is an integer number (1662075000).

Almost surely, 243864340454 is an apocalyptic number.

43864340454 is an abundant number, since it is smaller than the sum of its proper divisors (62508459546).

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

43864340454 is a wasteful number, since it uses less digits than its factorization.

43864340454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24330 (or 24324 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 43864340454 in words is "forty-three billion, eight hundred sixty-four million, three hundred forty thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 3559 7118 10677 20749 21354 32031 39149 41498 62247 64062 78298 96093 117447 124494 186741 192186 228239 234894 352341 373482 456478 560223 684717 704682 1057023 1120446 1369434 2054151 2114046 4108302 6162453 12324906 73845691 147691382 221537073 443074146 664611219 812302601 1329222438 1624605202 1993833657 2436907803 3987667314 4873815606 7310723409 14621446818 21932170227 43864340454