Search a number
-
+
466075440120 = 233517228468353
BaseRepresentation
bin1101100100001000100…
…00101101001111111000
31122120000121011111210210
412302010100231033320
530114010303040440
6554040114111120
745446532606063
oct6620420551770
91576017144723
10466075440120
1116a730487554
12763b387b4a0
1334c48988cc4
14187b58a18da
15c1cc6d6a80
hex6c8442d3f8

466075440120 has 64 divisors (see below), whose sum is σ = 1480474933920. Its totient is φ = 116975796224.

The previous prime is 466075440107. The next prime is 466075440163. The reversal of 466075440120 is 21044570664.

It is a super-2 number, since 2×4660754401202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114232137 + ... + 114236216.

Almost surely, 2466075440120 is an apocalyptic number.

466075440120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466075440120 is an abundant number, since it is smaller than the sum of its proper divisors (1014399493800).

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

466075440120 is a wasteful number, since it uses less digits than its factorization.

466075440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228468384 (or 228468380 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 466075440120 in words is "four hundred sixty-six billion, seventy-five million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 228468353 456936706 685405059 913873412 1142341765 1370810118 1827746824 2284683530 2741620236 3427025295 3883962001 4569367060 5483240472 6854050590 7767924002 9138734120 11651886003 13708101180 15535848004 19419810005 23303772006 27416202360 31071696008 38839620010 46607544012 58259430015 77679240020 93215088024 116518860030 155358480040 233037720060 466075440120