Search a number
-
+
31002433014042 = 2327892764618603
BaseRepresentation
bin1110000110010010100010…
…00000011100100100011010
311001202210200212021002210100
413003021101000130210122
513030420440322422132
6145534153205400230
76346565122412520
oct703112100344432
9131683625232710
1031002433014042
119973070228456
123588590109076
13143b6947b2569
147927509a8310
1538b69ee3837c
hex1c325101c91a

31002433014042 has 48 divisors (see below), whose sum is σ = 77630490400320. Its totient is φ = 8758311731136.

The previous prime is 31002433013941. The next prime is 31002433014043. The reversal of 31002433014042 is 24041033420013.

31002433014042 is a `hidden beast` number, since 3 + 10 + 0 + 243 + 3 + 0 + 1 + 404 + 2 = 666.

It is a super-2 number, since 2×310024330140422 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31002433013997 and 31002433014015.

It is not an unprimeable number, because it can be changed into a prime (31002433014043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1382298088 + ... + 1382320515.

It is an arithmetic number, because the mean of its divisors is an integer number (1617301883340).

Almost surely, 231002433014042 is an apocalyptic number.

31002433014042 is an abundant number, since it is smaller than the sum of its proper divisors (46628057386278).

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

31002433014042 is a wasteful number, since it uses less digits than its factorization.

31002433014042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764618707 (or 2764618704 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 31002433014042 its reverse (24041033420013), we get a palindrome (55043466434055).

The spelling of 31002433014042 in words is "thirty-one trillion, two billion, four hundred thirty-three million, fourteen thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 89 126 178 267 534 623 801 1246 1602 1869 3738 5607 11214 2764618603 5529237206 8293855809 16587711618 19352330221 24881567427 38704660442 49763134854 58056990663 116113981326 174170971989 246051055667 348341943978 492102111334 738153167001 1476306334002 1722357389669 2214459501003 3444714779338 4428919002006 5167072169007 10334144338014 15501216507021 31002433014042