Search a number
-
+
407700241685 = 51122337693761
BaseRepresentation
bin1011110111011001101…
…00111111110100010101
31102222100022221011210022
411323230310333310111
523134432230213220
6511143411034525
741312122606142
oct5735464776425
91388308834708
10407700241685
111479a5180a00
1267021b9ba45
132c5a4a39679
1415a38b1b3c9
15a912931925
hex5eecd3fd15

407700241685 has 48 divisors (see below), whose sum is σ = 540914053680. Its totient is φ = 294774374400.

The previous prime is 407700241681. The next prime is 407700241693. The reversal of 407700241685 is 586142007704.

It can be written as a sum of positive squares in 8 ways, for example, as 38393659249 + 369306582436 = 195943^2 + 607706^2 .

It is not a de Polignac number, because 407700241685 - 22 = 407700241681 is a prime.

It is a super-4 number, since 4×4077002416854 (a number of 48 digits) contains 4444 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407700241681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108400205 + ... + 108403965.

It is an arithmetic number, because the mean of its divisors is an integer number (11269042785).

Almost surely, 2407700241685 is an apocalyptic number.

It is an amenable number.

407700241685 is a deficient number, since it is larger than the sum of its proper divisors (133213811995).

407700241685 is a wasteful number, since it uses less digits than its factorization.

407700241685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4790 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 44.

The spelling of 407700241685 in words is "four hundred seven billion, seven hundred million, two hundred forty-one thousand, six hundred eighty-five".

Divisors: 1 5 11 55 121 233 605 769 1165 2563 3761 3845 8459 12815 18805 28193 41371 42295 93049 140965 179177 206855 455081 465245 876313 895885 1970947 2275405 2892209 4381565 9639443 9854735 14461045 21680417 31814299 48197215 106033873 108402085 159071495 349957289 530169365 673884697 1749786445 3369423485 7412731667 37063658335 81540048337 407700241685