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4140852480 = 28325359449
BaseRepresentation
bin1111011011010000…
…0110010100000000
3101200120202002201200
43312310012110000
531440024234410
61522520501200
7204420444132
oct36664062400
911616662650
104140852480
111835448836
1297691a800
1350cb69a8b
142b3d3b052
151937e93c0
hexf6d06500

4140852480 has 108 divisors (see below), whose sum is σ = 14326958100. Its totient is φ = 1104224256.

The previous prime is 4140852427. The next prime is 4140852509. The reversal of 4140852480 is 842580414.

4140852480 is a `hidden beast` number, since 4 + 1 + 408 + 5 + 248 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1109689344 + 3031163136 = 33312^2 + 55056^2 .

It is a super-2 number, since 2×41408524802 = 34293318522244300800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168205 + ... + 191244.

Almost surely, 24140852480 is an apocalyptic number.

4140852480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140852480 is an abundant number, since it is smaller than the sum of its proper divisors (10186105620).

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

4140852480 is a wasteful number, since it uses less digits than its factorization.

4140852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359476 (or 359459 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 4140852480 is about 64349.4559417560. The cubic root of 4140852480 is about 1605.8189781942.

The spelling of 4140852480 in words is "four billion, one hundred forty million, eight hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 359449 718898 1078347 1437796 1797245 2156694 2875592 3235041 3594490 4313388 5391735 5751184 6470082 7188980 8626776 10783470 11502368 12940164 14377960 16175205 17253552 21566940 23004736 25880328 28755920 32350410 34507104 43133880 46009472 51760656 57511840 64700820 69014208 86267760 92018944 103521312 115023680 129401640 138028416 172535520 207042624 230047360 258803280 276056832 345071040 414085248 460094720 517606560 690142080 828170496 1035213120 1380284160 2070426240 4140852480