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1111430410144 = 251941242318401
BaseRepresentation
bin10000001011000110011…
…010100010111110100000
310221020210111101202200121
4100023012122202332200
5121202202141111034
62210330054530024
7143204165416315
oct20130632427640
93836714352617
101111430410144
1139939a54534a
1215b49b966914
1380a65c30a82
143bb175b6d0c
151dd9e20e1b4
hex102c66a2fa0

1111430410144 has 96 divisors (see below), whose sum is σ = 2360573228160. Its totient is φ = 513386496000.

The previous prime is 1111430410133. The next prime is 1111430410229. The reversal of 1111430410144 is 4410140341111.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60391344 + ... + 60409744.

It is an arithmetic number, because the mean of its divisors is an integer number (24589304460).

Almost surely, 21111430410144 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 1111430410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180286614080).

1111430410144 is an abundant number, since it is smaller than the sum of its proper divisors (1249142818016).

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

1111430410144 is a wasteful number, since it uses less digits than its factorization.

1111430410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20894 (or 20886 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 1111430410144 its reverse (4410140341111), we get a palindrome (5521570751255).

The spelling of 1111430410144 in words is "one trillion, one hundred eleven billion, four hundred thirty million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 41 76 82 152 164 304 328 608 656 779 1312 1558 2423 3116 4846 6232 9692 12464 18401 19384 24928 36802 38768 46037 73604 77536 92074 99343 147208 184148 198686 294416 349619 368296 397372 588832 699238 736592 754441 794744 1398476 1473184 1508882 1589488 1887517 2796952 3017764 3178976 3775034 5593904 6035528 7550068 11187808 12071056 14334379 15100136 24142112 28668758 30200272 44585623 57337516 60400544 89171246 114675032 178342492 229350064 356684984 458700128 713369968 847126837 1426739936 1694253674 1828010543 3388507348 3656021086 6777014696 7312042172 13554029392 14624084344 27108058784 29248168688 34732200317 58496337376 69464400634 138928801268 277857602536 555715205072 1111430410144