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1413401300000 = 255523360661
BaseRepresentation
bin10100100100010101010…
…010000100110000100000
312000010020100220101001022
4110210111102010300200
5141124121213100000
63001150235025012
7204054254552354
oct24442522046040
95003210811038
101413401300000
114a5469206338
121a9b1529b168
13a338b183aa1
144c5a2397464
1526b74930585
hex14915484c20

1413401300000 has 144 divisors (see below), whose sum is σ = 3493054570824. Its totient is φ = 562924800000.

The previous prime is 1413401299943. The next prime is 1413401300009. The reversal of 1413401300000 is 31043141.

It can be written as a sum of positive squares in 12 ways, for example, as 1115499293584 + 297902006416 = 1056172^2 + 545804^2 .

It is not an unprimeable number, because it can be changed into a prime (1413401300009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23269670 + ... + 23330330.

Almost surely, 21413401300000 is an apocalyptic number.

1413401300000 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 1413401300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746527285412).

1413401300000 is an abundant number, since it is smaller than the sum of its proper divisors (2079653270824).

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

1413401300000 is an frugal number, since it uses more digits than its factorization.

1413401300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60929 (or 60901 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1413401300000 its reverse (31043141), we get a palindrome (1413432343141).

The spelling of 1413401300000 in words is "one trillion, four hundred thirteen billion, four hundred one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 233 250 400 466 500 625 800 932 1000 1165 1250 1864 2000 2330 2500 3125 3728 4000 4660 5000 5825 6250 7456 9320 10000 11650 12500 18640 20000 23300 25000 29125 37280 46600 50000 58250 60661 93200 100000 116500 121322 145625 186400 233000 242644 291250 303305 466000 485288 582500 606610 728125 932000 970576 1165000 1213220 1456250 1516525 1941152 2330000 2426440 2912500 3033050 4660000 4852880 5825000 6066100 7582625 9705760 11650000 12132200 14134013 15165250 23300000 24264400 28268026 30330500 37913125 48528800 56536052 60661000 70670065 75826250 113072104 121322000 141340130 151652500 189565625 226144208 242644000 282680260 303305000 353350325 379131250 452288416 565360520 606610000 706700650 758262500 1130721040 1213220000 1413401300 1516525000 1766751625 2261442080 2826802600 3033050000 3533503250 5653605200 6066100000 7067006500 8833758125 11307210400 14134013000 17667516250 28268026000 35335032500 44168790625 56536052000 70670065000 88337581250 141340130000 176675162500 282680260000 353350325000 706700650000 1413401300000