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1144441031104 = 26711512219423
BaseRepresentation
bin10000101001110110000…
…000000100100111000000
311001102000001201001121201
4100221312000010213000
5122222303400443404
62233425435030544
7145453213154620
oct20516600044700
94042001631551
101144441031104
1140139a143478
12165972b9b454
1383bc6c58797
143d5697d0880
151eb822c8ca4
hex10a760049c0

1144441031104 has 56 divisors (see below), whose sum is σ = 2597684871168. Its totient is φ = 490048377600.

The previous prime is 1144441031089. The next prime is 1144441031147. The reversal of 1144441031104 is 4011301444411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 594064 + ... + 1625359.

Almost surely, 21144441031104 is an apocalyptic number.

1144441031104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1144441031104 is an abundant number, since it is smaller than the sum of its proper divisors (1453243840064).

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

1144441031104 is a wasteful number, since it uses less digits than its factorization.

1144441031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220593 (or 2220583 counting only the distinct ones).

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

Adding to 1144441031104 its reverse (4011301444411), we get a palindrome (5155742475515).

The spelling of 1144441031104 in words is "one trillion, one hundred forty-four billion, four hundred forty-one million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 1151 2302 4604 8057 9208 16114 18416 32228 36832 64456 73664 128912 257824 515648 2219423 4438846 8877692 15535961 17755384 31071922 35510768 62143844 71021536 124287688 142043072 248575376 497150752 994301504 2554555873 5109111746 10218223492 17881891111 20436446984 35763782222 40872893968 71527564444 81745787936 143055128888 163491575872 286110257776 572220515552 1144441031104