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385045484770440 = 233251382274676233
BaseRepresentation
bin101011110001100100110001…
…1010101111001010010001000
31212111022222200212112110222200
41113203021203111321102020
5400432041123100123230
63442531242001520200
7144050422026545004
oct12743114325712210
91774288625473880
10385045484770440
1110176196704639a
1237228489943060
13136b08307c1530
146b1242d951704
152e7adb3c63160
hex15e3263579488

385045484770440 has 96 divisors (see below), whose sum is σ = 1347659196712920. Its totient is φ = 94780427019264.

The previous prime is 385045484770411. The next prime is 385045484770447. The reversal of 385045484770440 is 44077484540583.

It is a happy number.

385045484770440 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 4 + 548 + 47 + 7 + 0 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 337757279574276 + 47288205196164 = 18378174^2 + 6876642^2 .

It is not an unprimeable number, because it can be changed into a prime (385045484770447) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 41137333437 + ... + 41137342796.

Almost surely, 2385045484770440 is an apocalyptic number.

385045484770440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385045484770440 is an abundant number, since it is smaller than the sum of its proper divisors (962613711942480).

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

385045484770440 is a wasteful number, since it uses less digits than its factorization.

385045484770440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82274676263 (or 82274676256 counting only the distinct ones).

The product of its (nonzero) digits is 240844800, while the sum is 63.

The spelling of 385045484770440 in words is "three hundred eighty-five trillion, forty-five billion, four hundred eighty-four million, seven hundred seventy thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 82274676233 164549352466 246824028699 329098704932 411373381165 493648057398 658197409864 740472086097 822746762330 987296114796 1069570791029 1234120143495 1480944172194 1645493524660 1974592229592 2139141582058 2468240286990 2961888344388 3208712373087 3290987049320 3702360430485 4278283164116 4936480573980 5347853955145 5923776688776 6417424746174 7404720860970 8556566328232 9626137119261 9872961147960 10695707910290 12834849492348 14809441721940 16043561865435 19252274238522 21391415820580 25669698984696 29618883443880 32087123730870 38504548477044 42782831641160 48130685596305 64174247461740 77009096954088 96261371192610 128348494923480 192522742385220 385045484770440