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341444089701 = 3211213217109133
BaseRepresentation
bin1001111011111111010…
…01110101011101100101
31012122022211021220220100
410331333221311131211
521043234141332301
6420505055454313
733445205606241
oct4757751653545
91178284256810
10341444089701
11121895318300
1256210b27399
1326276128b00
141275141b421
158d35d49286
hex4f7fa75765

341444089701 has 108 divisors (see below), whose sum is σ = 621553707684. Its totient is φ = 179779691520.

The previous prime is 341444089661. The next prime is 341444089703. The reversal of 341444089701 is 107980444143.

341444089701 is a `hidden beast` number, since 34 + 144 + 408 + 9 + 70 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17511228900 + 323932860801 = 132330^2 + 569151^2 .

It is not a de Polignac number, because 341444089701 - 231 = 339296606053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341444089703) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3074131 + ... + 3183263.

It is an arithmetic number, because the mean of its divisors is an integer number (5755126923).

Almost surely, 2341444089701 is an apocalyptic number.

It is an amenable number.

341444089701 is a deficient number, since it is larger than the sum of its proper divisors (280109617983).

341444089701 is a wasteful number, since it uses less digits than its factorization.

341444089701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109204 (or 109177 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 341444089701 in words is "three hundred forty-one billion, four hundred forty-four million, eighty-nine thousand, seven hundred one".

Divisors: 1 3 9 11 13 17 33 39 51 99 117 121 143 153 169 187 221 363 429 507 561 663 1089 1287 1521 1573 1683 1859 1989 2057 2431 2873 4719 5577 6171 7293 8619 14157 16731 18513 20449 21879 25857 26741 31603 61347 80223 94809 109133 184041 240669 284427 327399 347633 982197 1042899 1200463 1418729 1855261 3128697 3601389 4256187 5565783 10804167 12768561 13205093 15606019 16697349 18443477 20407871 24118393 39615279 46818057 55330431 61223613 72355179 118845837 140454171 165991293 171666209 183670839 202878247 217065537 224486581 265302323 313539109 514998627 608634741 673459743 795906969 940617327 1544995881 1825904223 2020379229 2231660717 2387720907 2821851981 2918325553 3448930199 6694982151 8754976659 10346790597 20084946453 26264929977 31040371791 37938232189 113814696567 341444089701