Search a number
-
+
15340553210000 = 24541579771053
BaseRepresentation
bin1101111100111100000000…
…1110011000100010010000
32000022112122112021220221102
43133033000032120202100
54002314423110210000
652343204114443532
73142214131544054
oct337170016304220
960275575256842
1015340553210000
11498498a3a5767
1218791282935a8
138737b98c6225
143b06b586bc64
151b909a1843d5
hexdf3c0398890

15340553210000 has 100 divisors (see below), whose sum is σ = 37377584166252. Its totient is φ = 6097136448000.

The previous prime is 15340553209957. The next prime is 15340553210009. The reversal of 15340553210000 is 1235504351.

It can be written as a sum of positive squares in 10 ways, for example, as 14876541568144 + 464011641856 = 3857012^2 + 681184^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (15340553210009) 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 19 ways as a sum of consecutive naturals, for example, 3315527 + ... + 6455526.

Almost surely, 215340553210000 is an apocalyptic number.

15340553210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15340553210000 is an abundant number, since it is smaller than the sum of its proper divisors (22037030956252).

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

15340553210000 is an equidigital number, since it uses as much as digits as its factorization.

15340553210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9771238 (or 9771217 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

Adding to 15340553210000 its reverse (1235504351), we get a palindrome (15341788714351).

The spelling of 15340553210000 in words is "fifteen trillion, three hundred forty billion, five hundred fifty-three million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 157 200 250 314 400 500 625 628 785 1000 1250 1256 1570 2000 2500 2512 3140 3925 5000 6280 7850 10000 12560 15700 19625 31400 39250 62800 78500 98125 157000 196250 314000 392500 785000 1570000 9771053 19542106 39084212 48855265 78168424 97710530 156336848 195421060 244276325 390842120 488552650 781684240 977105300 1221381625 1534055321 1954210600 2442763250 3068110642 3908421200 4885526500 6106908125 6136221284 7670276605 9771053000 12213816250 12272442568 15340553210 19542106000 24427632500 24544885136 30681106420 38351383025 48855265000 61362212840 76702766050 97710530000 122724425680 153405532100 191756915125 306811064200 383513830250 613622128400 767027660500 958784575625 1534055321000 1917569151250 3068110642000 3835138302500 7670276605000 15340553210000