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1330020341344 = 253771103153607
BaseRepresentation
bin10011010110101011011…
…000111101011001100000
311201011000101220210200101
4103112223120331121200
5133242340201410334
62455000343432144
7165043100240422
oct23265330753140
94634011823611
101330020341344
11473070899a52
12195925155654
1398560762126
14485325aa812
15248e471b214
hex135ab63d660

1330020341344 has 96 divisors (see below), whose sum is σ = 2753618789376. Its totient is φ = 631726179840.

The previous prime is 1330020341311. The next prime is 1330020341371. The reversal of 1330020341344 is 4431430200331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8581789 + ... + 8735395.

It is an arithmetic number, because the mean of its divisors is an integer number (28683529056).

Almost surely, 21330020341344 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 1330020341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376809394688).

1330020341344 is an abundant number, since it is smaller than the sum of its proper divisors (1423598448032).

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

1330020341344 is a wasteful number, since it uses less digits than its factorization.

1330020341344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153828 (or 153820 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 1330020341344 its reverse (4431430200331), we get a palindrome (5761450541675).

The spelling of 1330020341344 in words is "one trillion, three hundred thirty billion, twenty million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 37 71 74 103 142 148 206 284 296 412 568 592 824 1136 1184 1648 2272 2627 3296 3811 5254 7313 7622 10508 14626 15244 21016 29252 30488 42032 58504 60976 84064 117008 121952 153607 234016 270581 307214 541162 614428 1082324 1228856 2164648 2457712 4329296 4915424 5683459 8658592 10906097 11366918 15821521 21812194 22733836 31643042 43624388 45467672 63286084 87248776 90935344 126572168 174497552 181870688 253144336 348995104 403525589 506288672 585396277 807051178 1123327991 1170792554 1614102356 2246655982 2341585108 3228204712 4493311964 4683170216 6456409424 8986623928 9366340432 12912818848 17973247856 18732680864 35946495712 41563135667 83126271334 166252542668 332505085336 665010170672 1330020341344