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13552224440000 = 26541013354511
BaseRepresentation
bin1100010100110101111110…
…0001100000111011000000
31202222120122211012200011112
43011031133201200323000
53234014423424040000
644453450030502452
72566054520033441
oct305153741407300
952876584180145
1013552224440000
114355514432a04
12162a618664a28
13773c7a68389c
1434bd071792c8
151877d00a8235
hexc535f860ec0

13552224440000 has 140 divisors (see below), whose sum is σ = 33937846137888. Its totient is φ = 5367216000000.

The previous prime is 13552224439987. The next prime is 13552224440009. The reversal of 13552224440000 is 4442225531.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (13552224440009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2362745 + ... + 5717255.

Almost surely, 213552224440000 is an apocalyptic number.

13552224440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13552224440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16968923068944).

13552224440000 is an abundant number, since it is smaller than the sum of its proper divisors (20385621697888).

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

13552224440000 is an equidigital number, since it uses as much as digits as its factorization.

13552224440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354644 (or 3354619 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 13552224440000 its reverse (4442225531), we get a palindrome (13556666665531).

The spelling of 13552224440000 in words is "thirteen trillion, five hundred fifty-two billion, two hundred twenty-four million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 160 200 202 250 320 400 404 500 505 625 800 808 1000 1010 1250 1600 1616 2000 2020 2500 2525 3232 4000 4040 5000 5050 6464 8000 8080 10000 10100 12625 16160 20000 20200 25250 32320 40000 40400 50500 63125 80800 101000 126250 161600 202000 252500 404000 505000 808000 1010000 2020000 3354511 4040000 6709022 13418044 16772555 26836088 33545110 53672176 67090220 83862775 107344352 134180440 167725550 214688704 268360880 335451100 338805611 419313875 536721760 670902200 677611222 838627750 1073443520 1341804400 1355222444 1677255500 1694028055 2096569375 2683608800 2710444888 3354511000 3388056110 4193138750 5367217600 5420889776 6709022000 6776112220 8386277500 8470140275 10841779552 13418044000 13552224440 16772555000 16940280550 21683559104 26836088000 27104448880 33545110000 33880561100 42350701375 54208897760 67090220000 67761122200 84701402750 108417795520 134180440000 135522244400 169402805500 211753506875 271044488800 338805611000 423507013750 542088977600 677611222000 847014027500 1355222444000 1694028055000 2710444888000 3388056110000 6776112220000 13552224440000