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13214410030040 = 2357344811009927
BaseRepresentation
bin1100000001001011100000…
…1101110011101111011000
31201210021200221210120211012
43000102320031303233120
53213001102431430130
644034341031353052
72532465253651652
oct300227015635730
951707627716735
1013214410030040
114235221a6582a
12159505b222788
1374b16252a18b
1433981bc356d2
1517db0cc34995
hexc04b8373bd8

13214410030040 has 64 divisors (see below), whose sum is σ = 30146471991360. Its totient is φ = 5212187688960.

The previous prime is 13214410030039. The next prime is 13214410030061. The reversal of 13214410030040 is 4003001441231.

It is a junction number, because it is equal to n+sod(n) for n = 13214410029988 and 13214410030015.

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, 12579557 + ... + 13589483.

It is an arithmetic number, because the mean of its divisors is an integer number (471038624865).

Almost surely, 213214410030040 is an apocalyptic number.

13214410030040 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 13214410030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15073235995680).

13214410030040 is an abundant number, since it is smaller than the sum of its proper divisors (16932061961320).

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

13214410030040 is a wasteful number, since it uses less digits than its factorization.

13214410030040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014492 (or 1014488 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 13214410030040 its reverse (4003001441231), we get a palindrome (17217411471271).

The spelling of 13214410030040 in words is "thirteen trillion, two hundred fourteen billion, four hundred ten million, thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 4481 8962 17924 22405 35848 44810 89620 179240 327113 654226 1009927 1308452 1635565 2019854 2616904 3271130 4039708 5049635 6542260 8079416 10099270 13084520 20198540 40397080 73724671 147449342 294898684 368623355 589797368 737246710 1474493420 2948986840 4525482887 9050965774 18101931548 22627414435 36203863096 45254828870 90509657740 181019315480 330360250751 660720501502 1321441003004 1651801253755 2642882006008 3303602507510 6607205015020 13214410030040