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13314153000544 = 2511383335929401
BaseRepresentation
bin1100000110111111000101…
…0111000010111001100000
31202010211011012210110212221
43001233301113002321200
53221114341132004134
644152234253400424
72542626060140224
oct301576127027140
952124135713787
1013314153000544
1142735562a6860
1215b0456a99114
13757699a05756
143405a0aaa784
151814e95ec5b4
hexc1bf15c2e60

13314153000544 has 96 divisors (see below), whose sum is σ = 28679341178880. Its totient is φ = 6034084224000.

The previous prime is 13314153000541. The next prime is 13314153000613. The reversal of 13314153000544 is 44500035141331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13314153000541) 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, 452832244 + ... + 452861644.

It is an arithmetic number, because the mean of its divisors is an integer number (298743137280).

Almost surely, 213314153000544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13314153000544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14339670589440).

13314153000544 is an abundant number, since it is smaller than the sum of its proper divisors (15365188178336).

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

13314153000544 is a wasteful number, since it uses less digits than its factorization.

13314153000544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33164 (or 33156 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 13314153000544 its reverse (44500035141331), we get a palindrome (57814188141875).

The spelling of 13314153000544 in words is "thirteen trillion, three hundred fourteen billion, one hundred fifty-three million, five hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 383 766 1532 3064 3359 4213 6128 6718 8426 12256 13436 16852 26872 29401 33704 36949 53744 58802 67408 73898 107488 117604 134816 147796 235208 295592 323411 470416 591184 646822 940832 1182368 1286497 1293644 2572994 2587288 5145988 5174576 10291976 10349152 11260583 14151467 20583952 22521166 28302934 41167904 45042332 56605868 90084664 98757959 113211736 123866413 180169328 197515918 226423472 247732826 360338656 395031836 452846944 495465652 790063672 990931304 1086337549 1580127344 1981862608 2172675098 3160254688 3963725216 4345350196 8690700392 17381400784 34762801568 37824298297 75648596594 151297193188 302594386376 416067281267 605188772752 832134562534 1210377545504 1664269125068 3328538250136 6657076500272 13314153000544