Search a number
-
+
40404200440 = 23516715114003
BaseRepresentation
bin100101101000010001…
…110010101111111000
310212021211122001021011
4211220101302233320
51130221433403230
630321134123304
72630153015512
oct455021625770
9125254561234
1040404200440
111615413289a
1279b7350534
133a6ba34a16
141d54146bb2
1510b7229e2a
hex968472bf8

40404200440 has 64 divisors (see below), whose sum is σ = 91537205760. Its totient is φ = 16050261120.

The previous prime is 40404200437. The next prime is 40404200443. The reversal of 40404200440 is 4400240404.

40404200440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40404200437) and next prime (40404200443).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40404200443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10091479 + ... + 10095481.

It is an arithmetic number, because the mean of its divisors is an integer number (1430268840).

Almost surely, 240404200440 is an apocalyptic number.

40404200440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40404200440 is an abundant number, since it is smaller than the sum of its proper divisors (51133005320).

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

40404200440 is a wasteful number, since it uses less digits than its factorization.

40404200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5692 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 40404200440 its reverse (4400240404), we get a palindrome (44804440844).

The spelling of 40404200440 in words is "forty billion, four hundred four million, two hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 167 334 668 835 1336 1511 1670 3022 3340 4003 6044 6680 7555 8006 12088 15110 16012 20015 30220 32024 40030 60440 80060 160120 252337 504674 668501 1009348 1261685 1337002 2018696 2523370 2674004 3342505 5046740 5348008 6048533 6685010 10093480 12097066 13370020 24194132 26740040 30242665 48388264 60485330 120970660 241941320 1010105011 2020210022 4040420044 5050525055 8080840088 10101050110 20202100220 40404200440