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4140645382764 = 22321119550325011
BaseRepresentation
bin111100010000010001101…
…100100111101001101100
3112122211201200210102101200
4330100101230213221230
51020320020204222024
612450104120405500
7605103024015612
oct74202154475154
915584650712350
104140645382764
1113570464103a0
1256a599916890
132405cc2b5c07
141045a05696b2
1572a936b12c9
hex3c411b27a6c

4140645382764 has 72 divisors (see below), whose sum is σ = 12019098262080. Its totient is φ = 1188702021600.

The previous prime is 4140645382711. The next prime is 4140645382781. The reversal of 4140645382764 is 4672835460414.

4140645382764 is a `hidden beast` number, since 4 + 1 + 40 + 6 + 4 + 538 + 2 + 7 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4140645382764.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275154982 + ... + 275170029.

Almost surely, 24140645382764 is an apocalyptic number.

4140645382764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4140645382764 is an abundant number, since it is smaller than the sum of its proper divisors (7878452879316).

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

4140645382764 is a wasteful number, since it uses less digits than its factorization.

4140645382764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550325051 (or 550325046 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 4140645382764 in words is "four trillion, one hundred forty billion, six hundred forty-five million, three hundred eighty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 550325011 1100650022 1650975033 2201300044 3301950066 4952925099 6053575121 6603900132 9905850198 10456175209 12107150242 18160725363 19811700396 20912350418 24214300484 31368525627 36321450726 41824700836 54482176089 62737051254 72642901452 94105576881 108964352178 115017927299 125474102508 188211153762 217928704356 230035854598 345053781897 376422307524 460071709196 690107563794 1035161345691 1380215127588 2070322691382 4140645382764