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201400100244144 = 24329833505940583
BaseRepresentation
bin101101110010110000011101…
…011011101100101010110000
3222102002122212021020210011100
4231302300131123230222300
5202344214401130303034
61552201532340444400
760264451143114534
oct5562603533545260
9872078767223140
10201400100244144
115919933710953a
121a7088320a9700
13884bc428936c9
1437a3b61685bc4
151843d2ae01099
hexb72c1d6ecab0

201400100244144 has 120 divisors (see below), whose sum is σ = 564243942862080. Its totient is φ = 67061506962816.

The previous prime is 201400100244121. The next prime is 201400100244193. The reversal of 201400100244144 is 441442001004102.

It is a happy number.

201400100244144 is a `hidden beast` number, since 2 + 0 + 1 + 400 + 1 + 0 + 0 + 244 + 14 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4962651277 + ... + 4962691859.

It is an arithmetic number, because the mean of its divisors is an integer number (4702032857184).

Almost surely, 2201400100244144 is an apocalyptic number.

201400100244144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201400100244144 is an abundant number, since it is smaller than the sum of its proper divisors (362843842617936).

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

201400100244144 is a wasteful number, since it uses less digits than its factorization.

201400100244144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76639 (or 76630 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 201400100244144 its reverse (441442001004102), we get a palindrome (642842101248246).

The spelling of 201400100244144 in words is "two hundred one trillion, four hundred billion, one hundred million, two hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 983 1966 2949 3932 5898 7864 8847 11796 15728 17694 23592 35059 35388 40583 47184 70118 70776 81166 105177 121749 140236 141552 162332 210354 243498 280472 315531 324664 365247 420708 486996 560944 631062 649328 730494 841416 973992 1262124 1460988 1682832 1947984 2524248 2921976 5048496 5843952 34462997 39893089 68925994 79786178 103388991 119679267 137851988 159572356 206777982 239358534 275703976 310166973 319144712 359037801 413555964 478717068 551407952 620333946 638289424 718075602 827111928 957434136 1240667892 1422799397 1436151204 1654223856 1914868272 2481335784 2845598794 2872302408 4268398191 4962671568 5691197588 5744604816 8536796382 11382395176 12805194573 17073592764 22764790352 25610389146 34147185528 51220778292 68294371056 102441556584 204883113168 1398611807251 2797223614502 4195835421753 5594447229004 8391670843506 11188894458008 12587506265259 16783341687012 22377788916016 25175012530518 33566683374024 50350025061036 67133366748048 100700050122072 201400100244144