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13141022121424 = 242383877490573
BaseRepresentation
bin1011111100111010000111…
…1101001001110111010000
31201112021021102111120000201
42333032201331021313100
53210300303130341144
643540522514024544
72524256531014501
oct277164175116720
951467242446021
1013141022121424
11420709244688a
121582999878154
13744268231492
143360592bcba8
1517bc64ea91d4
hexbf3a1f49dd0

13141022121424 has 80 divisors (see below), whose sum is σ = 26918525354112. Its totient is φ = 6202023151104.

The previous prime is 13141022121413. The next prime is 13141022121439. The reversal of 13141022121424 is 42412122014131.

It is a junction number, because it is equal to n+sod(n) for n = 13141022121392 and 13141022121401.

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, 26541802 + ... + 27032374.

Almost surely, 213141022121424 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 13141022121424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13459262677056).

13141022121424 is an abundant number, since it is smaller than the sum of its proper divisors (13777503232688).

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

13141022121424 is a wasteful number, since it uses less digits than its factorization.

13141022121424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491564 (or 491558 counting only the distinct ones).

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

Adding to 13141022121424 its reverse (42412122014131), we get a palindrome (55553144135555).

The spelling of 13141022121424 in words is "thirteen trillion, one hundred forty-one billion, twenty-two million, one hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 83 92 166 184 332 368 664 877 1328 1754 1909 3508 3818 7016 7636 14032 15272 20171 30544 40342 72791 80684 145582 161368 291164 322736 490573 582328 981146 1164656 1674193 1962292 3348386 3924584 6696772 7849168 11283179 13393544 22566358 26787088 40717559 45132716 81435118 90265432 162870236 180530864 325740472 430232521 651480944 860465042 936503857 1720930084 1873007714 3441860168 3746015428 6883720336 7492030856 9895347983 14984061712 19790695966 35709299243 39581391932 71418598486 79162783864 142837196972 158325567728 285674393944 571348787888 821313882589 1642627765178 3285255530356 6570511060712 13141022121424