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20401140000144 = 2431725001397059
BaseRepresentation
bin1001010001110000000101…
…01100111110010110010000
32200020022220112010212212010
410220320002230332112100
510133223013320001034
6111220053200302520
74203635160534321
oct450700254762620
980208815125763
1020401140000144
116556090745412
122355a64611a40
13b4ca85b69677
145075c59b2448
15255a318b73e9
hex128e02b3e590

20401140000144 has 40 divisors (see below), whose sum is σ = 55803118237920. Its totient is φ = 6400357646848.

The previous prime is 20401140000133. The next prime is 20401140000167. The reversal of 20401140000144 is 44100004110402.

It is a self number, because there is not a number n which added to its sum of digits gives 20401140000144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12500697714 + ... + 12500699345.

It is an arithmetic number, because the mean of its divisors is an integer number (1395077955948).

Almost surely, 220401140000144 is an apocalyptic number.

20401140000144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20401140000144 is an abundant number, since it is smaller than the sum of its proper divisors (35401978237776).

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

20401140000144 is a wasteful number, since it uses less digits than its factorization.

20401140000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25001397087 (or 25001397081 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 20401140000144 its reverse (44100004110402), we get a palindrome (64501144110546).

The spelling of 20401140000144 in words is "twenty trillion, four hundred one billion, one hundred forty million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 25001397059 50002794118 75004191177 100005588236 150008382354 200011176472 300016764708 400022352944 425023750003 600033529416 850047500006 1200067058832 1275071250009 1700095000012 2550142500018 3400190000024 5100285000036 6800380000048 10200570000072 20401140000144