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1040535554544 = 243347105148761
BaseRepresentation
bin11110010010001001100…
…00001000100111110000
310200110210201012221201000
433021010300020213300
5114022004100221134
62114003200042000
7135114304165233
oct17110460104760
93613721187630
101040535554544
1137131a214aa2
121497b5303300
13771782a1485
143850dbc341a
151c10028ae99
hexf244c089f0

1040535554544 has 160 divisors (see below), whose sum is σ = 3053234580480. Its totient is φ = 339135552000.

The previous prime is 1040535554533. The next prime is 1040535554563. The reversal of 1040535554544 is 4454555350401.

1040535554544 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 5 + 3 + 55 + 54 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1040535554544.

It is a congruent number.

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, 21315124 + ... + 21363884.

It is an arithmetic number, because the mean of its divisors is an integer number (19082716128).

Almost surely, 21040535554544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040535554544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526617290240).

1040535554544 is an abundant number, since it is smaller than the sum of its proper divisors (2012699025936).

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

1040535554544 is a wasteful number, since it uses less digits than its factorization.

1040535554544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49876 (or 49864 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

The spelling of 1040535554544 in words is "one trillion, forty billion, five hundred thirty-five million, five hundred fifty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1051 1128 1269 1692 2102 2256 2538 3153 3384 4204 5076 6306 6768 8408 9459 10152 12612 16816 18918 20304 25224 28377 37836 48761 49397 50448 56754 75672 97522 98794 113508 146283 148191 151344 195044 197588 227016 292566 296382 390088 395176 438849 444573 454032 585132 592764 780176 790352 877698 889146 1170264 1185528 1316547 1333719 1755396 1778292 2291767 2340528 2371056 2633094 2667438 3510792 3556584 4583534 5266188 5334876 6875301 7021584 7113168 9167068 10532376 10669752 13750602 18334136 20625903 21064752 21339504 27501204 36668272 41251806 51247811 55002408 61877709 82503612 102495622 110004816 123755418 153743433 165007224 204991244 247510836 307486866 330014448 409982488 461230299 495021672 614973732 819964976 922460598 990043344 1229947464 1383690897 1844921196 2408647117 2459894928 2767381794 3689842392 4817294234 5534763588 7225941351 7379684784 9634588468 11069527176 14451882702 19269176936 21677824053 22139054352 28903765404 38538353872 43355648106 57807530808 65033472159 86711296212 115615061616 130066944318 173422592424 260133888636 346845184848 520267777272 1040535554544