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241243020342142 = 272131753897112041
BaseRepresentation
bin110110110110100011000100…
…100010000011001101111110
31011122011121101212121222212121
4312312203010202003031332
5223110011201201422032
62213025302533353154
7101546142636063400
oct6666430442031576
91148147355558777
10241243020342142
116a95a654877285
122308261b4987ba
13a47c171b7b1a0
14438031ddb4b70
151cd54406dea97
hexdb68c488337e

241243020342142 has 96 divisors (see below), whose sum is σ = 453671631078624. Its totient is φ = 95363804390400.

The previous prime is 241243020342133. The next prime is 241243020342151.

241243020342142 is nontrivially palindromic in base 10.

241243020342142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (241243020342133) and next prime (241243020342151).

It is a super-2 number, since 2×2412430203421422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241243020342098 and 241243020342107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20035125642 + ... + 20035137682.

It is an arithmetic number, because the mean of its divisors is an integer number (4725746157069).

Almost surely, 2241243020342142 is an apocalyptic number.

241243020342142 is a deficient number, since it is larger than the sum of its proper divisors (212428610736482).

241243020342142 is a wasteful number, since it uses less digits than its factorization.

241243020342142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22794 (or 22787 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

The spelling of 241243020342142 in words is "two hundred forty-one trillion, two hundred forty-three billion, twenty million, three hundred forty-two thousand, one hundred forty-two".

Divisors: 1 2 7 13 14 26 49 91 98 182 637 1274 1753 3506 8971 12041 12271 17942 22789 24082 24542 45578 62797 84287 85897 116623 125594 156533 159523 168574 171794 233246 313066 319046 439579 590009 816361 879158 1095731 1116661 1180018 1632722 2191462 2233322 5714527 7670117 11429054 15340234 15726163 21107873 31452326 42215746 108019811 110083141 147755111 204440119 216039622 220166282 274402349 295510222 408880238 548804698 756138677 770581987 1034285777 1404257543 1431080833 1512277354 1541163974 1920816443 2068571554 2808515086 2862161666 3841632886 5292970739 9829802801 10017565831 10585941478 13445715101 19659605602 20035131662 26891430202 68808619607 137617239214 189358728683 378717457366 1325511100781 2461663472879 2651022201562 4923326945758 9278577705467 17231644310153 18557155410934 34463288620306 120621510171071 241243020342142