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1341340441024 = 26293753368539
BaseRepresentation
bin10011100001001110000…
…111101101100111000000
311202020020022200110010111
4103201032013231213000
5133434031123103044
62504111524441104
7165623444425453
oct23411607554700
94666208613114
101341340441024
1147794a78a431
12197b64249194
1399645aa416c
1448cc7ba349a
1524d58439b34
hex1384e1ed9c0

1341340441024 has 112 divisors (see below), whose sum is σ = 2881289944800. Its totient is φ = 618153209856.

The previous prime is 1341340441019. The next prime is 1341340441027. The reversal of 1341340441024 is 4201440431431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341340441027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3455347 + ... + 3823885.

Almost surely, 21341340441024 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 1341340441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440644972400).

1341340441024 is an abundant number, since it is smaller than the sum of its proper divisors (1539949503776).

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

1341340441024 is a wasteful number, since it uses less digits than its factorization.

1341340441024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368670 (or 368660 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 1341340441024 its reverse (4201440431431), we get a palindrome (5542780872455).

The spelling of 1341340441024 in words is "one trillion, three hundred forty-one billion, three hundred forty million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 37 53 58 64 74 106 116 148 212 232 296 424 464 592 848 928 1073 1184 1537 1696 1856 1961 2146 2368 3074 3392 3922 4292 6148 7844 8584 12296 15688 17168 24592 31376 34336 49184 56869 62752 68672 98368 113738 125504 227476 368539 454952 737078 909904 1474156 1819808 2948312 3639616 5896624 10687631 11793248 13635943 19532567 21375262 23586496 27271886 39065134 42750524 54543772 78130268 85501048 109087544 156260536 171002096 218175088 312521072 342004192 395442347 436350176 566444443 625042144 684008384 722704979 790884694 872700352 1132888886 1250084288 1445409958 1581769388 2265777772 2890819916 3163538776 4531555544 5781639832 6327077552 9063111088 11563279664 12654155104 18126222176 20958444391 23126559328 25308310208 36252444352 41916888782 46253118656 83833777564 167667555128 335335110256 670670220512 1341340441024