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13060403433040 = 2451371503179279
BaseRepresentation
bin1011111000001101110010…
…1101010000111001010000
31201020120011222012212010011
42332003130231100321100
53202440201234324130
643435511055444304
72515403654326615
oct276033455207120
951216158185104
1013060403433040
114185982287a97
12156b23a826694
1373978ab89682
143321ac2d450c
15179ae752a52a
hexbe0dcb50e50

13060403433040 has 80 divisors (see below), whose sum is σ = 30589504289280. Its totient is φ = 5185618375680.

The previous prime is 13060403433031. The next prime is 13060403433061. The reversal of 13060403433040 is 4033430406031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 13060403432993 and 13060403433011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164700121 + ... + 164779399.

It is an arithmetic number, because the mean of its divisors is an integer number (382368803616).

Almost surely, 213060403433040 is an apocalyptic number.

13060403433040 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 13060403433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15294752144640).

13060403433040 is an abundant number, since it is smaller than the sum of its proper divisors (17529100856240).

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

13060403433040 is a wasteful number, since it uses less digits than its factorization.

13060403433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94460 (or 94454 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 13060403433040 its reverse (4033430406031), we get a palindrome (17093833839071).

The spelling of 13060403433040 in words is "thirteen trillion, sixty billion, four hundred three million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 15031 30062 60124 75155 79279 120248 150310 158558 240496 300620 317116 396395 601240 634232 792790 1202480 1268464 1585580 2059247 3171160 4118494 6342320 8236988 10296235 10861223 16473976 20592470 21722446 32947952 41184940 43444892 54306115 82369880 86889784 108612230 164739760 173779568 217224460 434448920 868897840 1191642649 2383285298 4766570596 5958213245 9533141192 11916426490 19066282384 23832852980 47665705960 95331411920 163255042913 326510085826 653020171652 816275214565 1306040343304 1632550429130 2612080686608 3265100858260 6530201716520 13060403433040