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2163432135240 = 2333514913444147
BaseRepresentation
bin11111011110110110100…
…110101001101001001000
321122211012022020112102000
4133132312212221221020
5240421202111311430
64333511134511000
7312205602506325
oct37366646515110
97584168215360
102163432135240
11764563048a52
122ab355065460
1312901a89893c
14769d4137b4c
153b420e1de60
hex1f7b69a9a48

2163432135240 has 128 divisors (see below), whose sum is σ = 7259839920000. Its totient is φ = 573043279104.

The previous prime is 2163432135233. The next prime is 2163432135253. The reversal of 2163432135240 is 425312343612.

2163432135240 is a `hidden beast` number, since 2 + 1 + 63 + 4 + 321 + 35 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2163432135195 and 2163432135204.

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 31 ways as a sum of consecutive naturals, for example, 6561154 + ... + 6882993.

It is an arithmetic number, because the mean of its divisors is an integer number (56717499375).

Almost surely, 22163432135240 is an apocalyptic number.

2163432135240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2163432135240 is an abundant number, since it is smaller than the sum of its proper divisors (5096407784760).

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

2163432135240 is a wasteful number, since it uses less digits than its factorization.

2163432135240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13444316 (or 13444306 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 2163432135240 its reverse (425312343612), we get a palindrome (2588744478852).

The spelling of 2163432135240 in words is "two trillion, one hundred sixty-three billion, four hundred thirty-two million, one hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 149 180 216 270 298 360 447 540 596 745 894 1080 1192 1341 1490 1788 2235 2682 2980 3576 4023 4470 5364 5960 6705 8046 8940 10728 13410 16092 17880 20115 26820 32184 40230 53640 80460 160920 13444147 26888294 40332441 53776588 67220735 80664882 107553176 120997323 134441470 161329764 201662205 241994646 268882940 322659528 362991969 403324410 483989292 537765880 604986615 725983938 806648820 967978584 1209973230 1451967876 1613297640 1814959845 2003177903 2419946460 2903935752 3629919690 4006355806 4839892920 6009533709 7259839380 8012711612 10015889515 12019067418 14519678760 16025423224 18028601127 20031779030 24038134836 30047668545 36057202254 40063558060 48076269672 54085803381 60095337090 72114404508 80127116120 90143005635 108171606762 120190674180 144228809016 180286011270 216343213524 240381348360 270429016905 360572022540 432686427048 540858033810 721144045080 1081716067620 2163432135240