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20020440144 = 24319105120887
BaseRepresentation
bin10010101001010011…
…111010110001010000
31220200020222201212010
4102221103322301100
5312000213041034
613110335302520
71306060635105
oct225123726120
956606881763
1020020440144
118544020001
123a6897aa40
131b709b34b3
14d7ccc6aac
157c29573e9
hex4a94fac50

20020440144 has 80 divisors (see below), whose sum is σ = 54495956480. Its totient is φ = 6315926400.

The previous prime is 20020440107. The next prime is 20020440151. The reversal of 20020440144 is 44104402002.

It is a self number, because there is not a number n which added to its sum of digits gives 20020440144.

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, 948069 + ... + 968955.

It is an arithmetic number, because the mean of its divisors is an integer number (681199456).

Almost surely, 220020440144 is an apocalyptic number.

20020440144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20020440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27247978240).

20020440144 is an abundant number, since it is smaller than the sum of its proper divisors (34475516336).

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

20020440144 is a wasteful number, since it uses less digits than its factorization.

20020440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21968 (or 21962 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 20020440144 its reverse (44104402002), we get a palindrome (64124842146).

The spelling of 20020440144 in words is "twenty billion, twenty million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1051 2102 3153 4204 6306 8408 12612 16816 19969 20887 25224 39938 41774 50448 59907 62661 79876 83548 119814 125322 159752 167096 239628 250644 319504 334192 396853 479256 501288 793706 958512 1002576 1190559 1587412 2381118 3174824 4762236 6349648 9524472 19048944 21952237 43904474 65856711 87808948 131713422 175617896 263426844 351235792 417092503 526853688 834185006 1053707376 1251277509 1668370012 2502555018 3336740024 5005110036 6673480048 10010220072 20020440144