Search a number
-
+
40448040880 = 2451322991719
BaseRepresentation
bin100101101010111001…
…000001111110110000
310212101220010101001011
4211222321001332300
51130314144302010
630325341520304
72631224450302
oct455271017660
9125356111034
1040448040880
1116176956865
127a09b73094
133a77b44600
141d59cb9972
1510baed9a8a
hex96ae41fb0

40448040880 has 60 divisors (see below), whose sum is σ = 101832165360. Its totient is φ = 14934656256.

The previous prime is 40448040869. The next prime is 40448040889. The reversal of 40448040880 is 8804084404.

40448040880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×404480408802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (40448040889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1482340 + ... + 1509379.

It is an arithmetic number, because the mean of its divisors is an integer number (1697202756).

Almost surely, 240448040880 is an apocalyptic number.

40448040880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40448040880 is an abundant number, since it is smaller than the sum of its proper divisors (61384124480).

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

40448040880 is a wasteful number, since it uses less digits than its factorization.

40448040880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991758 (or 2991739 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 40448040880 in words is "forty billion, four hundred forty-eight million, forty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2704 3380 6760 13520 2991719 5983438 11966876 14958595 23933752 29917190 38892347 47867504 59834380 77784694 119668760 155569388 194461735 239337520 311138776 388923470 505600511 622277552 777846940 1011201022 1555693880 2022402044 2528002555 3111387760 4044804088 5056005110 8089608176 10112010220 20224020440 40448040880