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241640052311100 = 223527611058432117
BaseRepresentation
bin110110111100010100110101…
…011110110100010000111100
31011200120120012201022202200210
4312330110311132310100330
5223133012311342423400
62213531524010352420
7101616626521120602
oct6674246536642074
91150516181282623
10241640052311100
116aaa2a74a93a63
122312756472b710
13a4aa736619231
144395625cd3872
151ce092b75b950
hexdbc5357b443c

241640052311100 has 72 divisors (see below), whose sum is σ = 700063937759088. Its totient is φ = 64352672652800.

The previous prime is 241640052311087. The next prime is 241640052311143. The reversal of 241640052311100 is 1113250046142.

It is a super-2 number, since 2×2416400523111002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 528987759 + ... + 529444358.

It is an arithmetic number, because the mean of its divisors is an integer number (9723110246654).

Almost surely, 2241640052311100 is an apocalyptic number.

241640052311100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241640052311100 is an abundant number, since it is smaller than the sum of its proper divisors (458423885447988).

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

241640052311100 is a wasteful number, since it uses less digits than its factorization.

241640052311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058432895 (or 1058432888 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 241640052311100 in words is "two hundred forty-one trillion, six hundred forty billion, fifty-two million, three hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 761 1522 2283 3044 3805 4566 7610 9132 11415 15220 19025 22830 38050 45660 57075 76100 114150 228300 1058432117 2116864234 3175296351 4233728468 5292160585 6350592702 10584321170 12701185404 15876481755 21168642340 26460802925 31752963510 52921605850 63505927020 79382408775 105843211700 158764817550 317529635100 805466841037 1610933682074 2416400523111 3221867364148 4027334205185 4832801046222 8054668410370 9665602092444 12082002615555 16109336820740 20136671025925 24164005231110 40273342051850 48328010462220 60410013077775 80546684103700 120820026155550 241640052311100