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140104651502205 = 325131741343608509
BaseRepresentation
bin11111110110110010100111…
…111110111111001001111101
3200101001212121001111200022100
4133312302213332333021331
5121330433311241032310
61213551104403535313
741340140605262355
oct3766624776771175
9611055531450270
10140104651502205
114070705a285845
121386927838a539
136023a72b004c0
14268515c013b65
15112e69bc8dec0
hex7f6ca7fbf27d

140104651502205 has 96 divisors (see below), whose sum is σ = 283666692647520. Its totient is φ = 63333920194560.

The previous prime is 140104651502203. The next prime is 140104651502251. The reversal of 140104651502205 is 502205156401041.

140104651502205 is a `hidden beast` number, since 1 + 40 + 1 + 0 + 46 + 51 + 502 + 20 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 57890154839364 + 82214496662841 = 7608558^2 + 9067221^2 .

It is not a de Polignac number, because 140104651502205 - 21 = 140104651502203 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 140104651502205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140104651502203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171396510 + ... + 172211999.

It is an arithmetic number, because the mean of its divisors is an integer number (2954861381745).

Almost surely, 2140104651502205 is an apocalyptic number.

140104651502205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

140104651502205 is an abundant number, since it is smaller than the sum of its proper divisors (143562041145315).

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

140104651502205 is a wasteful number, since it uses less digits than its factorization.

140104651502205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343608591 (or 343608588 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 140104651502205 in words is "one hundred forty trillion, one hundred four billion, six hundred fifty-one million, five hundred two thousand, two hundred five".

Divisors: 1 3 5 9 13 15 17 39 41 45 51 65 85 117 123 153 195 205 221 255 369 533 585 615 663 697 765 1105 1599 1845 1989 2091 2665 3315 3485 4797 6273 7995 9061 9945 10455 23985 27183 31365 45305 81549 135915 407745 343608509 1030825527 1718042545 3092476581 4466910617 5154127635 5841344653 13400731851 14087948869 15462382905 17524033959 22334553085 29206723265 40202195553 42263846607 52572101877 67003659255 70439744345 75937480489 87620169795 126791539821 183143335297 201010977765 211319233035 227812441467 239495130773 262860509385 379687402445 549430005891 633957699105 683437324401 718485392319 915716676485 1139062207335 1197475653865 1648290017673 2155456176957 2747150029455 3113436700049 3417186622005 3592426961595 8241450088365 9340310100147 10777280884785 15567183500245 28020930300441 46701550500735 140104651502205