Search a number
-
+
43413416268 = 223151211271419
BaseRepresentation
bin101000011011101001…
…000010100101001100
311011001120000001100020
4220123221002211030
51202402313310033
631535512102140
73064552643505
oct503351024514
9134046001306
1043413416268
1117458818222
1284b7094950
13412b2c4bc1
14215ba6bbac
1511e14de6b3
hexa1ba4294c

43413416268 has 96 divisors (see below), whose sum is σ = 103075553280. Its totient is φ = 14220360000.

The previous prime is 43413416261. The next prime is 43413416303. The reversal of 43413416268 is 86261431434.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (43413416261) 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, 103611763 + ... + 103612181.

It is an arithmetic number, because the mean of its divisors is an integer number (1073703680).

Almost surely, 243413416268 is an apocalyptic number.

It is an amenable number.

43413416268 is an abundant number, since it is smaller than the sum of its proper divisors (59662137012).

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

43413416268 is a wasteful number, since it uses less digits than its factorization.

43413416268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1057 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 43413416268 in words is "forty-three billion, four hundred thirteen million, four hundred sixteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 151 211 271 302 419 422 453 542 604 633 813 838 844 906 1084 1257 1266 1626 1676 1812 2514 2532 3252 5028 31861 40921 57181 63269 63722 81842 88409 95583 113549 114362 122763 126538 127444 163684 171543 176818 189807 191166 227098 228724 245526 253076 265227 340647 343086 353636 379614 382332 454196 491052 530454 681294 686172 759228 1060908 1362588 8634331 13349759 17145899 17268662 23958839 25902993 26699518 34291798 34537324 40049277 47917678 51437697 51805986 53399036 68583596 71876517 80098554 95835356 102875394 103611972 143753034 160197108 205750788 287506068 3617784689 7235569378 10853354067 14471138756 21706708134 43413416268