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1144121230144 = 261710211029953
BaseRepresentation
bin10000101001100010111…
…100001000001101000000
311001101011202221111011201
4100221202330020031000
5122221130013331034
62233334012350544
7145442250665404
oct20514274101500
94041152844151
101144121230144
11401245675262
121658a3a75454
1383b75917049
143d539145104
151eb641a8014
hex10a62f08340

1144121230144 has 56 divisors (see below), whose sum is σ = 2406273290568. Its totient is φ = 537882132480.

The previous prime is 1144121230121. The next prime is 1144121230243. The reversal of 1144121230144 is 4410321214411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 436772948544 + 707348281600 = 660888^2 + 841040^2 .

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, 595872 + ... + 1625824.

It is an arithmetic number, because the mean of its divisors is an integer number (42969165903).

Almost surely, 21144121230144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144121230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203136645284).

1144121230144 is an abundant number, since it is smaller than the sum of its proper divisors (1262152060424).

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

1144121230144 is a wasteful number, since it uses less digits than its factorization.

1144121230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031003 (or 1030993 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 1144121230144 its reverse (4410321214411), we get a palindrome (5554442444555).

The spelling of 1144121230144 in words is "one trillion, one hundred forty-four billion, one hundred twenty-one million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1021 1088 2042 4084 8168 16336 17357 32672 34714 65344 69428 138856 277712 555424 1029953 1110848 2059906 4119812 8239624 16479248 17509201 32958496 35018402 65916992 70036804 140073608 280147216 560294432 1051582013 1120588864 2103164026 4206328052 8412656104 16825312208 17876894221 33650624416 35753788442 67301248832 71507576884 143015153768 286030307536 572060615072 1144121230144