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115001043303040 = 2751776913745057
BaseRepresentation
bin11010001001011111000100…
…010101011011101010000000
3120002011222210102211012020121
4122021133010111123222000
5110033134114041144130
61044330425553550024
733136360026305566
oct3211370425335200
9502158712735217
10115001043303040
1133708739967774
1210a93b80875314
134c227235549ab
14205811a0a7a36
15d4669381ad7a
hex6897c455ba80

115001043303040 has 128 divisors (see below), whose sum is σ = 291474950936400. Its totient is φ = 43238207520768.

The previous prime is 115001043303011. The next prime is 115001043303049. The reversal of 115001043303040 is 40303340100511.

It can be written as a sum of positive squares in 8 ways, for example, as 44185586906176 + 70815456396864 = 6647224^2 + 8415192^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 115001043302996 and 115001043303014.

It is not an unprimeable number, because it can be changed into a prime (115001043303049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1494192 + ... + 15239248.

Almost surely, 2115001043303040 is an apocalyptic number.

115001043303040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115001043303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145737475468200).

115001043303040 is an abundant number, since it is smaller than the sum of its proper divisors (176473907633360).

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

115001043303040 is a wasteful number, since it uses less digits than its factorization.

115001043303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13745862 (or 13745850 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 115001043303040 its reverse (40303340100511), we get a palindrome (155304383403551).

The spelling of 115001043303040 in words is "one hundred fifteen trillion, one billion, forty-three million, three hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 769 1088 1360 1538 2176 2720 3076 3845 5440 6152 7690 10880 12304 13073 15380 24608 26146 30760 49216 52292 61520 65365 98432 104584 123040 130730 209168 246080 261460 418336 492160 522920 836672 1045840 1673344 2091680 4183360 8366720 13745057 27490114 54980228 68725285 109960456 137450570 219920912 233665969 274901140 439841824 467331938 549802280 879683648 934663876 1099604560 1168329845 1759367296 1869327752 2199209120 2336659690 3738655504 4398418240 4673319380 7477311008 8796836480 9346638760 10569948833 14954622016 18693277520 21139897666 29909244032 37386555040 42279795332 52849744165 74773110080 84559590664 105699488330 149546220160 169119181328 179689130161 211398976660 338238362656 359378260322 422797953320 676476725312 718756520644 845595906640 898445650805 1352953450624 1437513041288 1691191813280 1796891301610 2875026082576 3382383626560 3593782603220 5750052165152 6764767253120 7187565206440 11500104330304 14375130412880 23000208660608 28750260825760 57500521651520 115001043303040