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144031142204020 = 22521318133781421
BaseRepresentation
bin100000101111111011011101…
…000100010101001001110100
3200212222020112221111010021001
4200233323131010111021310
5122334301234401012040
61230154554314333044
742223622654462011
oct4057733504251164
9625866487433231
10144031142204020
114199029a987705
12141a224a12a184
13624a10340a996
14277d20463c708
15119b8a94e159a
hex82fedd115274

144031142204020 has 24 divisors (see below), whose sum is σ = 302466826401768. Its totient is φ = 57612184924800.

The previous prime is 144031142204009. The next prime is 144031142204041. The reversal of 144031142204020 is 20402241130441.

144031142204020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 57759665600484 + 86271476603536 = 7599978^2 + 9288244^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144031142204020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12627091 + ... + 21154330.

It is an arithmetic number, because the mean of its divisors is an integer number (12602784433407).

Almost surely, 2144031142204020 is an apocalyptic number.

144031142204020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144031142204020 is an abundant number, since it is smaller than the sum of its proper divisors (158435684197748).

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

144031142204020 is a wasteful number, since it uses less digits than its factorization.

144031142204020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33994611 (or 33994609 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 144031142204020 its reverse (20402241130441), we get a palindrome (164433383334461).

The spelling of 144031142204020 in words is "one hundred forty-four trillion, thirty-one billion, one hundred forty-two million, two hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 213181 426362 852724 1065905 2131810 4263620 33781421 67562842 135125684 168907105 337814210 675628420 7201557110201 14403114220402 28806228440804 36007785551005 72015571102010 144031142204020