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264504454330140 = 2232583127139405103
BaseRepresentation
bin111100001001000010111110…
…000010101011011100011100
31021200112101020012112101221200
4330021002332002223130130
5234132120110302031030
62334315400244555500
7106466546645445213
oct7411027602533434
91250471205471850
10264504454330140
11773087889416a2
12257ba89a6b2b90
13b478880859b6b
1449461262dc07a
15208a57b7ebd60
hexf090be0ab71c

264504454330140 has 144 divisors (see below), whose sum is σ = 818390488301568. Its totient is φ = 69136008665472.

The previous prime is 264504454330097. The next prime is 264504454330217. The reversal of 264504454330140 is 41033454405462.

264504454330140 is a `hidden beast` number, since 2 + 6 + 4 + 50 + 4 + 454 + 3 + 3 + 0 + 140 = 666.

It is a super-2 number, since 2×2645044543301402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67805172 + ... + 71599931.

It is an arithmetic number, because the mean of its divisors is an integer number (5683267279872).

Almost surely, 2264504454330140 is an apocalyptic number.

264504454330140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264504454330140 is an abundant number, since it is smaller than the sum of its proper divisors (553886033971428).

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

264504454330140 is a wasteful number, since it uses less digits than its factorization.

264504454330140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139405328 (or 139405323 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 264504454330140 in words is "two hundred sixty-four trillion, five hundred four billion, four hundred fifty-four million, three hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 127 166 180 249 254 332 381 415 498 508 635 747 762 830 996 1143 1245 1270 1494 1524 1660 1905 2286 2490 2540 2988 3735 3810 4572 4980 5715 7470 7620 10541 11430 14940 21082 22860 31623 42164 52705 63246 94869 105410 126492 158115 189738 210820 316230 379476 474345 632460 948690 1897380 139405103 278810206 418215309 557620412 697025515 836430618 1254645927 1394051030 1672861236 2091076545 2509291854 2788102060 4182153090 5018583708 6273229635 8364306180 11570623549 12546459270 17704448081 23141247098 25092918540 34711870647 35408896162 46282494196 53113344243 57853117745 69423741294 70817792324 88522240405 104135611941 106226688486 115706235490 138847482588 159340032729 173559353235 177044480810 208271223882 212453376972 231412470980 265566721215 318680065458 347118706470 354088961620 416542447764 520678059705 531133442430 637360130916 694237412940 796700163645 1041356119410 1062266884860 1469469190723 1593400327290 2082712238820 2938938381446 3186800654580 4408407572169 5877876762892 7347345953615 8816815144338 13225222716507 14694691907230 17633630288676 22042037860845 26450445433014 29389383814460 44084075721690 52900890866028 66126113582535 88168151443380 132252227165070 264504454330140