Search a number
-
+
40460686448 = 2471328198893
BaseRepresentation
bin100101101011101001…
…010001010001110000
310212102202220211111112
4211223221101101300
51130330413431243
630330512532452
72631440105660
oct455351212160
9125382824445
1040460686448
1116183003646
127a12251128
133a7a6513b0
141d5b84c1a0
1510bc186818
hex96ba51470

40460686448 has 80 divisors (see below), whose sum is σ = 96827510976. Its totient is φ = 15949301760.

The previous prime is 40460686439. The next prime is 40460686459. The reversal of 40460686448 is 84468606404.

It is a junction number, because it is equal to n+sod(n) for n = 40460686396 and 40460686405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359690 + ... + 458582.

Almost surely, 240460686448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40460686448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48413755488).

40460686448 is an abundant number, since it is smaller than the sum of its proper divisors (56366824528).

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

40460686448 is a wasteful number, since it uses less digits than its factorization.

40460686448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99202 (or 99196 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 50.

The spelling of 40460686448 in words is "forty billion, four hundred sixty million, six hundred eighty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 281 364 562 728 1124 1456 1967 2248 3653 3934 4496 7306 7868 14612 15736 25571 29224 31472 51142 58448 98893 102284 197786 204568 395572 409136 692251 791144 1285609 1384502 1582288 2571218 2769004 5142436 5538008 8999263 10284872 11076016 17998526 20569744 27788933 35997052 55577866 71994104 111155732 143988208 194522531 222311464 361256129 389045062 444622928 722512258 778090124 1445024516 1556180248 2528792903 2890049032 3112360496 5057585806 5780098064 10115171612 20230343224 40460686448