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20040424440 = 2335414073257
BaseRepresentation
bin10010101010100000…
…001001101111111000
31220201122121001011020
4102222200021233320
5312020322040230
613112331502440
71306422540261
oct225240115770
956648531136
1020040424440
11855432a553
123a735b7a20
131b74b8c71a
14d81809968
157c45a3810
hex4aa809bf8

20040424440 has 64 divisors (see below), whose sum is σ = 61587660960. Its totient is φ = 5213767680.

The previous prime is 20040424433. The next prime is 20040424447. The reversal of 20040424440 is 4442404002.

It is an interprime number because it is at equal distance from previous prime (20040424433) and next prime (20040424447).

It is a super-2 number, since 2×200404244402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20040424440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20040424447) 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, 2031709 + ... + 2041548.

Almost surely, 220040424440 is an apocalyptic number.

20040424440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20040424440 is an abundant number, since it is smaller than the sum of its proper divisors (41547236520).

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

20040424440 is a wasteful number, since it uses less digits than its factorization.

20040424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4073312 (or 4073308 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 20040424440 its reverse (4442404002), we get a palindrome (24482828442).

The spelling of 20040424440 in words is "twenty billion, forty million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 4073257 8146514 12219771 16293028 20366285 24439542 32586056 40732570 48879084 61098855 81465140 97758168 122197710 162930280 167003537 244395420 334007074 488790840 501010611 668014148 835017685 1002021222 1336028296 1670035370 2004042444 2505053055 3340070740 4008084888 5010106110 6680141480 10020212220 20040424440