Search a number
-
+
385134081156 = 223311674838611
BaseRepresentation
bin1011001101010111100…
…01111011010010000100
31100211002122201110002000
411212223301323102010
522302223311044111
6452532251545300
736552660450516
oct5465361732204
91324078643060
10385134081156
1113937516a560
126278475b230
132a419809566
14148d7ac1bb6
15a04176bc56
hex59abc7b484

385134081156 has 96 divisors (see below), whose sum is σ = 1105526069760. Its totient is φ = 114965373600.

The previous prime is 385134081119. The next prime is 385134081193. The reversal of 385134081156 is 651180431583.

385134081156 is a `hidden beast` number, since 3 + 8 + 513 + 4 + 0 + 81 + 1 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (385134081119) and next prime (385134081193).

It is a super-3 number, since 3×3851340811563 (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2339710 + ... + 2498901.

It is an arithmetic number, because the mean of its divisors is an integer number (11515896560).

Almost surely, 2385134081156 is an apocalyptic number.

385134081156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

385134081156 is an abundant number, since it is smaller than the sum of its proper divisors (720391988604).

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

385134081156 is a wasteful number, since it uses less digits than its factorization.

385134081156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838702 (or 4838694 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 385134081156 in words is "three hundred eighty-five billion, one hundred thirty-four million, eighty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 67 99 108 132 134 198 201 268 297 396 402 594 603 737 804 1188 1206 1474 1809 2211 2412 2948 3618 4422 6633 7236 8844 13266 19899 26532 39798 79596 4838611 9677222 14515833 19354444 29031666 43547499 53224721 58063332 87094998 106449442 130642497 159674163 174189996 212898884 261284994 319348326 324186937 479022489 522569988 638696652 648373874 958044978 972560811 1296747748 1437067467 1916089956 1945121622 2874134934 2917682433 3566056307 3890243244 5748269868 5835364866 7132112614 8753047299 10698168921 11670729732 14264225228 17506094598 21396337842 32094506763 35012189196 42792675684 64189013526 96283520289 128378027052 192567040578 385134081156