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244155452013 = 331123110123869
BaseRepresentation
bin1110001101100011001…
…1001000101001101101
3212100012121120001112000
43203120303020221231
513000012243431023
6304055150402513
723432254046154
oct3433063105155
9770177501460
10244155452013
1194600429900
123b39b200439
131a040280785
14bb6250a59b
15653eb8b243
hex38d8cc8a6d

244155452013 has 96 divisors (see below), whose sum is σ = 414490137600. Its totient is φ = 141775920000.

The previous prime is 244155451999. The next prime is 244155452029. The reversal of 244155452013 is 310254551442.

244155452013 is a `hidden beast` number, since 2 + 4 + 41 + 554 + 52 + 0 + 13 = 666.

244155452013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 244155452013 - 228 = 243887016557 is a prime.

It is a super-2 number, since 2×2441554520132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244155452113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10217043 + ... + 10240911.

It is an arithmetic number, because the mean of its divisors is an integer number (4317605600).

Almost surely, 2244155452013 is an apocalyptic number.

It is an amenable number.

244155452013 is a deficient number, since it is larger than the sum of its proper divisors (170334685587).

244155452013 is a wasteful number, since it uses less digits than its factorization.

244155452013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24032 (or 24015 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 244155452013 in words is "two hundred forty-four billion, one hundred fifty-five million, four hundred fifty-two thousand, thirteen".

Divisors: 1 3 9 11 27 31 33 93 99 101 121 279 297 303 341 363 837 909 1023 1089 1111 2727 3069 3131 3267 3333 3751 9207 9393 9999 11253 12221 23869 28179 29997 33759 34441 36663 71607 84537 101277 103323 109989 214821 262559 309969 329967 378851 644463 739939 787677 929907 1136553 2219817 2363031 2410769 2888149 3409659 6659451 7089093 7232307 8139329 8664447 10228977 19978353 21696921 24417987 25993341 26518459 65090763 73253961 74733839 77980023 79555377 89532619 219761883 224201517 238666131 268597857 291703049 672604551 715998393 805793571 822072229 875109147 2017813653 2417380713 2466216687 2625327441 7398650061 7875982323 9042794519 22195950183 27128383557 81385150671 244155452013