Search a number
-
+
43818814340 = 22573145722093
BaseRepresentation
bin101000110011110011…
…100000101110000100
311012002210211101221122
4220303303200232010
51204220104024330
632044033133112
73110604530210
oct506363405604
9135083741848
1043818814340
111764663a854
1285aa9ba198
1341942a6512
142199839940
151216dbc5e5
hexa33ce0b84

43818814340 has 96 divisors (see below), whose sum is σ = 108800047104. Its totient is φ = 14506490880.

The previous prime is 43818814337. The next prime is 43818814349. The reversal of 43818814340 is 4341881834.

It is a junction number, because it is equal to n+sod(n) for n = 43818814291 and 43818814300.

It is not an unprimeable number, because it can be changed into a prime (43818814349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1972334 + ... + 1994426.

It is an arithmetic number, because the mean of its divisors is an integer number (1133333824).

Almost surely, 243818814340 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 43818814340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54400023552).

43818814340 is an abundant number, since it is smaller than the sum of its proper divisors (64981232764).

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

43818814340 is a wasteful number, since it uses less digits than its factorization.

43818814340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22597 (or 22595 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The spelling of 43818814340 in words is "forty-three billion, eight hundred eighteen million, eight hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 457 620 868 914 1085 1828 2170 2285 3199 4340 4570 6398 9140 12796 14167 15995 22093 28334 31990 44186 56668 63980 70835 88372 99169 110465 141670 154651 198338 220930 283340 309302 396676 441860 495845 618604 684883 773255 991690 1369766 1546510 1983380 2739532 3093020 3424415 4794181 6848830 9588362 10096501 13697660 19176724 20193002 23970905 40386004 47941810 50482505 70675507 95883620 100965010 141351014 201930020 282702028 312991531 353377535 625983062 706755070 1251966124 1413510140 1564957655 2190940717 3129915310 4381881434 6259830620 8763762868 10954703585 21909407170 43818814340