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1144140220013 = 73753103980221
BaseRepresentation
bin10000101001100100000…
…100100100011001101101
311001101020002200021101012
4100221210010210121231
5122221144344020023
62233335531355005
7145442601256430
oct20514404443155
94041202607335
101144140220013
1140125536566a
121658aa2b2a65
1383b7983575b
143d53b889817
151eb65ba9978
hex10a6412466d

1144140220013 has 32 divisors (see below), whose sum is σ = 1369601326080. Its totient is φ = 935270219520.

The previous prime is 1144140219953. The next prime is 1144140220031. The reversal of 1144140220013 is 3100220414411.

It is not a de Polignac number, because 1144140220013 - 216 = 1144140154477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144140220033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14222243 + ... + 14302463.

It is an arithmetic number, because the mean of its divisors is an integer number (42800041440).

Almost surely, 21144140220013 is an apocalyptic number.

It is an amenable number.

1144140220013 is a deficient number, since it is larger than the sum of its proper divisors (225461106067).

1144140220013 is a wasteful number, since it uses less digits than its factorization.

1144140220013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81357.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1144140220013 its reverse (3100220414411), we get a palindrome (4244360634424).

The spelling of 1144140220013 in words is "one trillion, one hundred forty-four billion, one hundred forty million, two hundred twenty thousand, thirteen".

Divisors: 1 7 37 53 259 371 1039 1961 7273 13727 38443 55067 80221 269101 385469 561547 2037479 2968177 4251713 14262353 20777239 29761991 83349619 157313381 583447333 1101193667 3083935903 4417529807 21587551321 30922708649 163448602859 1144140220013