Search a number
-
+
40480277864 = 231310921812
BaseRepresentation
bin100101101100110100…
…000000010101101000
310212111010210011212112
4211230310000111220
51130400422342424
630332452501452
72632065453545
oct455464002550
9125433704775
1040480277864
11161930749a4
127a1891a888
133a81720850
141d602abbcc
1510bdc5660e
hex96cd00568

40480277864 has 72 divisors (see below), whose sum is σ = 82954097730. Its totient is φ = 18409524480.

The previous prime is 40480277857. The next prime is 40480277939. The reversal of 40480277864 is 46877208404.

It can be written as a sum of positive squares in 9 ways, for example, as 3099148900 + 37381128964 = 55670^2 + 193342^2 .

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 223647854 + ... + 223648034.

Almost surely, 240480277864 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 40480277864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41477048865).

40480277864 is an abundant number, since it is smaller than the sum of its proper divisors (42473819866).

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

40480277864 is a wasteful number, since it uses less digits than its factorization.

40480277864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 50.

The spelling of 40480277864 in words is "forty billion, four hundred eighty million, two hundred seventy-seven thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 109 181 218 362 436 724 872 1417 1448 2353 2834 4706 5668 9412 11336 11881 18824 19729 23762 32761 39458 47524 65522 78916 95048 131044 154453 157832 256477 262088 308906 425893 512954 617812 851786 1025908 1235624 1703572 2051816 2150461 3407144 3570949 4300922 7141898 8601844 14283796 17203688 27955993 28567592 46422337 55911986 92844674 111823972 185689348 223647944 371378696 389233441 778466882 1556933764 3113867528 5060034733 10120069466 20240138932 40480277864