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13014056440 = 23571134912107
BaseRepresentation
bin11000001111011001…
…01011110111111000
31020120222020120021101
430013230223313320
5203123044301230
65551212221144
7640333440340
oct140754536770
936528216241
1013014056440
115579106250
12263246a7b4
1312c5283a18
148b6587d20
155127cbaca
hex307b2bdf8

13014056440 has 128 divisors (see below), whose sum is σ = 36614592000. Its totient is φ = 4044372480.

The previous prime is 13014056437. The next prime is 13014056467. The reversal of 13014056440 is 4465041031.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13014056399 and 13014056408.

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, 1068867 + ... + 1080973.

It is an arithmetic number, because the mean of its divisors is an integer number (286051500).

Almost surely, 213014056440 is an apocalyptic number.

13014056440 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 13014056440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18307296000).

13014056440 is an abundant number, since it is smaller than the sum of its proper divisors (23600535560).

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

13014056440 is a wasteful number, since it uses less digits than its factorization.

13014056440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12485 (or 12481 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 13014056440 its reverse (4465041031), we get a palindrome (17479097471).

The spelling of 13014056440 in words is "thirteen billion, fourteen million, fifty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 349 385 440 616 698 770 1396 1540 1745 2443 2792 3080 3490 3839 4886 6980 7678 9772 12107 12215 13960 15356 19195 19544 24214 24430 26873 30712 38390 48428 48860 53746 60535 76780 84749 96856 97720 107492 121070 133177 134365 153560 169498 214984 242140 266354 268730 338996 423745 484280 532708 537460 665885 677992 847490 932239 1065416 1074920 1331770 1694980 1864478 2663540 3389960 3728956 4225343 4661195 5327080 7457912 8450686 9322390 16901372 18644780 21126715 29577401 33802744 37289560 42253430 46478773 59154802 84506860 92957546 118309604 147887005 169013720 185915092 232393865 236619208 295774010 325351411 371830184 464787730 591548020 650702822 929575460 1183096040 1301405644 1626757055 1859150920 2602811288 3253514110 6507028220 13014056440