Search a number
-
+
13320033144 = 23311193178377
BaseRepresentation
bin11000110011110111…
…11001001101111000
31021101021222210101220
430121323321031320
5204234412030034
610041422312040
7651040261605
oct143173711570
937337883356
1013320033144
1157158a2060
1226b8a28620
131343795022
149050756ac
1552e5bb749
hex319ef9378

13320033144 has 128 divisors (see below), whose sum is σ = 38364537600. Its totient is φ = 3811415040.

The previous prime is 13320033121. The next prime is 13320033149. The reversal of 13320033144 is 44133002331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320033149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1585884 + ... + 1594260.

It is an arithmetic number, because the mean of its divisors is an integer number (299722950).

Almost surely, 213320033144 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 13320033144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19182268800).

13320033144 is an abundant number, since it is smaller than the sum of its proper divisors (25044504456).

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

13320033144 is a wasteful number, since it uses less digits than its factorization.

13320033144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8733 (or 8729 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13320033144 its reverse (44133002331), we get a palindrome (57453035475).

The spelling of 13320033144 in words is "thirteen billion, three hundred twenty million, thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 317 418 456 627 634 836 951 1254 1268 1672 1902 2508 2536 3487 3804 5016 6023 6974 7608 8377 10461 12046 13948 16754 18069 20922 24092 25131 27896 33508 36138 41844 48184 50262 66253 67016 72276 83688 92147 100524 132506 144552 159163 184294 198759 201048 265012 276441 318326 368588 397518 477489 530024 552882 636652 737176 795036 954978 1105764 1273304 1590072 1750793 1909956 2211528 2655509 3501586 3819912 5252379 5311018 7003172 7966527 10504758 10622036 14006344 15933054 21009516 21244072 29210599 31866108 42019032 50454671 58421198 63732216 87631797 100909342 116842396 151364013 175263594 201818684 233684792 302728026 350527188 403637368 555001381 605456052 701054376 1110002762 1210912104 1665004143 2220005524 3330008286 4440011048 6660016572 13320033144