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1340220234015 = 36513277102107
BaseRepresentation
bin10011100000001011010…
…110011101100100011111
311202010100020211001000000
4103200023112131210133
5133424232334442030
62503404430505343
7165553623012015
oct23401326354437
94663306731000
101340220234015
11477425423313
121978b1065253
13994c7999a90
1448c1d0c48b5
1524cdee11860
hex1380b59d91f

1340220234015 has 112 divisors (see below), whose sum is σ = 2606177635488. Its totient is φ = 657412339968.

The previous prime is 1340220233999. The next prime is 1340220234053. The reversal of 1340220234015 is 5104320220431.

1340220234015 is a `hidden beast` number, since 1 + 3 + 402 + 20 + 234 + 0 + 1 + 5 = 666.

It is not a de Polignac number, because 1340220234015 - 24 = 1340220233999 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1340220234015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13074592 + ... + 13176698.

It is an arithmetic number, because the mean of its divisors is an integer number (23269443174).

Almost surely, 21340220234015 is an apocalyptic number.

1340220234015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1340220234015 is a deficient number, since it is larger than the sum of its proper divisors (1265957401473).

1340220234015 is a wasteful number, since it uses less digits than its factorization.

1340220234015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102420 (or 102405 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1340220234015 its reverse (5104320220431), we get a palindrome (6444540454446).

The spelling of 1340220234015 in words is "one trillion, three hundred forty billion, two hundred twenty million, two hundred thirty-four thousand, fifteen".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 243 277 351 405 585 729 831 1053 1215 1385 1755 2493 3159 3601 3645 4155 5265 7479 9477 10803 12465 15795 18005 22437 32409 37395 47385 54015 67311 97227 102107 112185 162045 201933 291681 306321 336555 486135 510535 875043 918963 1009665 1327391 1458405 1531605 2625129 2756889 3982173 4375215 4594815 6636955 8270667 11946519 13125645 13784445 19910865 24812001 28283639 35839557 41353335 59732595 74436003 84850917 107518671 124060005 141418195 179197785 254552751 322556013 367687307 372180015 424254585 537593355 763658253 967668039 1103061921 1272763755 1612780065 1838436535 2290974759 3309185763 3818291265 4838340195 5515309605 6872924277 9927557289 11454873795 16545928815 20618772831 29782671867 34364621385 49637786445 89348015601 103093864155 148913359335 268044046803 446740078005 1340220234015