Search a number
-
+
31444401310 = 25719101323339
BaseRepresentation
bin11101010010001110…
…110111110010011110
310000011102012002110221
4131102032313302132
51003344231320220
622240110351554
72162136000250
oct352216676236
9100142162427
1031444401310
11123765aa123
1261167bb5ba
132c716bb82a
1417441d7cd0
15c4083e9aa
hex7523b7c9e

31444401310 has 64 divisors (see below), whose sum is σ = 68160268800. Its totient is φ = 10203000192.

The previous prime is 31444401301. The next prime is 31444401311. The reversal of 31444401310 is 1310444413.

It is a super-2 number, since 2×314444013102 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31444401311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1335621 + ... + 1358959.

It is an arithmetic number, because the mean of its divisors is an integer number (1065004200).

Almost surely, 231444401310 is an apocalyptic number.

31444401310 is an abundant number, since it is smaller than the sum of its proper divisors (36715867490).

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

31444401310 is a wasteful number, since it uses less digits than its factorization.

31444401310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24385.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 31444401310 its reverse (1310444413), we get a palindrome (32754845723).

The spelling of 31444401310 in words is "thirty-one billion, four hundred forty-four million, four hundred one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 665 1013 1330 2026 5065 7091 10130 14182 19247 23339 35455 38494 46678 70910 96235 116695 134729 163373 192470 233390 269458 326746 443441 673645 816865 886882 1347290 1633730 2217205 3104087 4434410 6208174 15520435 23642407 31040870 47284814 118212035 165496849 236424070 330993698 449205733 827484245 898411466 1654968490 2246028665 3144440131 4492057330 6288880262 15722200655 31444401310