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15034306341216 = 2531718614950133
BaseRepresentation
bin1101101011000111001001…
…1111010010100101100000
31222020021011122210002012210
43122301302133102211200
53432310224410404331
651550355345322120
73111123061242111
oct332616237224540
958207148702183
1015034306341216
114877016a93498
1218298ba936340
13850962814476
1439d942c18208
151b1124376446
hexdac727d2960

15034306341216 has 96 divisors (see below), whose sum is σ = 41808990168288. Its totient is φ = 4714109706240.

The previous prime is 15034306341209. The next prime is 15034306341217. The reversal of 15034306341216 is 61214360343051.

15034306341216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15034306341217) 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, 562086 + ... + 5512218.

It is an arithmetic number, because the mean of its divisors is an integer number (435510314253).

Almost surely, 215034306341216 is an apocalyptic number.

15034306341216 is a gapful number since it is divisible by the number (16) 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 15034306341216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20904495084144).

15034306341216 is an abundant number, since it is smaller than the sum of its proper divisors (26774683827072).

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

15034306341216 is a wasteful number, since it uses less digits than its factorization.

15034306341216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4952024 (or 4952016 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

Adding to 15034306341216 its reverse (61214360343051), we get a palindrome (76248666684267).

The spelling of 15034306341216 in words is "fifteen trillion, thirty-four billion, three hundred six million, three hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 1861 3722 5583 7444 11166 14888 22332 29776 31637 44664 59552 63274 89328 94911 126548 178656 189822 253096 379644 506192 759288 1012384 1518576 3037152 4950133 9900266 14850399 19800532 29700798 39601064 59401596 79202128 84152261 118803192 158404256 168304522 237606384 252456783 336609044 475212768 504913566 673218088 1009827132 1346436176 2019654264 2692872352 4039308528 8078617056 9212197513 18424395026 27636592539 36848790052 55273185078 73697580104 110546370156 147395160208 156607357721 221092740312 294790320416 313214715442 442185480624 469822073163 626429430884 884370961248 939644146326 1252858861768 1879288292652 2505717723536 3758576585304 5011435447072 7517153170608 15034306341216