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5040055440 = 243357333337
BaseRepresentation
bin1001011000110100…
…10010010010010000
3111000020202100022000
410230122102102100
540310223233230
62152041514000
7235616523120
oct45432222220
914006670260
105040055440
112156a86282
12b87aa2900
13624244734
1435b52ac80
151e7719b60
hex12c692490

5040055440 has 160 divisors (see below), whose sum is σ = 19840277760. Its totient is φ = 1152009216.

The previous prime is 5040055429. The next prime is 5040055451. The reversal of 5040055440 is 445500405.

It is an interprime number because it is at equal distance from previous prime (5040055429) and next prime (5040055451).

It is a Harshad number since it is a multiple of its sum of digits (27).

5040055440 is a modest number, since divided by 55440 gives 5040 as remainder.

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, 151549 + ... + 181788.

It is an arithmetic number, because the mean of its divisors is an integer number (124001736).

Almost surely, 25040055440 is an apocalyptic number.

It is an amenable number.

5040055440 is an abundant number, since it is smaller than the sum of its proper divisors (14800222320).

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

5040055440 is a wasteful number, since it uses less digits than its factorization.

5040055440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333366 (or 333354 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 5040055440 is about 70993.3478573873. The cubic root of 5040055440 is about 1714.5300630268.

Adding to 5040055440 its reverse (445500405), we get a palindrome (5485555845).

The spelling of 5040055440 in words is "five billion, forty million, fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 333337 666674 1000011 1333348 1666685 2000022 2333359 2666696 3000033 3333370 4000044 4666718 5000055 5333392 6000066 6666740 7000077 8000088 9000099 9333436 10000110 11666795 12000132 13333480 14000154 15000165 16000176 18000198 18666872 20000220 21000231 23333590 24000264 26666960 28000308 30000330 35000385 36000396 37333744 40000440 42000462 45000495 46667180 48000528 56000616 60000660 63000693 70000770 72000792 80000880 84000924 90000990 93334360 105001155 112001232 120001320 126001386 140001540 144001584 168001848 180001980 186668720 210002310 240002640 252002772 280003080 315003465 336003696 360003960 420004620 504005544 560006160 630006930 720007920 840009240 1008011088 1260013860 1680018480 2520027720 5040055440