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13145314120000 = 2654378881969
BaseRepresentation
bin1011111101001010000111…
…0001110101000101000000
31201112200100112122200012221
42333102201301311011000
53210333100403320000
643542512434300424
72524501065264046
oct277224161650500
951480315580187
1013145314120000
114208995139947
121583797127714
137447a04ab9ca
14336345322396
1517be16bac61a
hexbf4a1c75140

13145314120000 has 140 divisors (see below), whose sum is σ = 33477086418820. Its totient is φ = 5116013568000.

The previous prime is 13145314119989. The next prime is 13145314120013. The reversal of 13145314120000 is 2141354131.

It can be written as a sum of positive squares in 10 ways, for example, as 5217350359104 + 7927963760896 = 2284152^2 + 2815664^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2960985 + ... + 5920984.

Almost surely, 213145314120000 is an apocalyptic number.

13145314120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13145314120000 is an abundant number, since it is smaller than the sum of its proper divisors (20331772298820).

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

13145314120000 is an frugal number, since it uses more digits than its factorization.

13145314120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8882038 (or 8882013 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 13145314120000 its reverse (2141354131), we get a palindrome (13147455474131).

The spelling of 13145314120000 in words is "thirteen trillion, one hundred forty-five billion, three hundred fourteen million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 148 160 185 200 250 296 320 370 400 500 592 625 740 800 925 1000 1184 1250 1480 1600 1850 2000 2368 2500 2960 3700 4000 4625 5000 5920 7400 8000 9250 10000 11840 14800 18500 20000 23125 29600 37000 40000 46250 59200 74000 92500 148000 185000 296000 370000 740000 1480000 8881969 17763938 35527876 44409845 71055752 88819690 142111504 177639380 222049225 284223008 328632853 355278760 444098450 568446016 657265706 710557520 888196900 1110246125 1314531412 1421115040 1643164265 1776393800 2220492250 2629062824 2842230080 3286328530 3552787600 4440984500 5258125648 5551230625 6572657060 7105575200 8215821325 8881969000 10516251296 11102461250 13145314120 14211150400 16431642650 17763938000 21032502592 22204922500 26290628240 32863285300 35527876000 41079106625 44409845000 52581256480 65726570600 71055752000 82158213250 88819690000 105162512960 131453141200 164316426500 177639380000 205395533125 262906282400 328632853000 355278760000 410791066250 525812564800 657265706000 821582132500 1314531412000 1643164265000 2629062824000 3286328530000 6572657060000 13145314120000