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240053660342020 = 22577999121901787
BaseRepresentation
bin110110100101001111011001…
…001001101101011100000100
31011110221220110022221212210201
4312211033121021231130010
5222431014344021421040
62210315043521100244
7101364206325636220
oct6645173111553404
91143856408855721
10240053660342020
116a541205093618
1222b10011187684
13a3c3c69a42cc5
14433c932a09780
151cb452eb81a9a
hexda53d926d704

240053660342020 has 96 divisors (see below), whose sum is σ = 584010300948480. Its totient is φ = 81180283916160.

The previous prime is 240053660341991. The next prime is 240053660342077. The reversal of 240053660342020 is 20243066350042.

240053660342020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9567 + ... + 21911353.

It is an arithmetic number, because the mean of its divisors is an integer number (6083440634880).

Almost surely, 2240053660342020 is an apocalyptic number.

240053660342020 is a gapful number since it is divisible by the number (20) 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 240053660342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292005150474240).

240053660342020 is an abundant number, since it is smaller than the sum of its proper divisors (343956640606460).

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

240053660342020 is a wasteful number, since it uses less digits than its factorization.

240053660342020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21902873 (or 21902871 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

The spelling of 240053660342020 in words is "two hundred forty trillion, fifty-three billion, six hundred sixty million, three hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 991 1106 1580 1982 2212 2765 3964 4955 5530 6937 9910 11060 13874 19820 27748 34685 69370 78289 138740 156578 313156 391445 548023 782890 1096046 1565780 2192092 2740115 5480230 10960460 21901787 43803574 87607148 109508935 153312509 219017870 306625018 438035740 613250036 766562545 1533125090 1730241173 3066250180 3460482346 6920964692 8651205865 12111688211 17302411730 21704670917 24223376422 34604823460 43409341834 48446752844 60558441055 86818683668 108523354585 121116882110 151932696419 217046709170 242233764220 303865392838 434093418340 607730785676 759663482095 1519326964190 1714669002443 3038653928380 3429338004886 6858676009772 8573345012215 12002683017101 17146690024430 24005366034202 34293380048860 48010732068404 60013415085505 120026830171010 240053660342020