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13302400143440 = 2451472891128937
BaseRepresentation
bin1100000110010011010011…
…0101011101000001010000
31202002200211010201110212002
43001210310311131001100
53220421303414042230
644143012133053132
72542031606405552
oct301446465350120
952080733643762
1013302400143440
1142695750a7311
1215aa116a871a8
13756545b23035
1433dba7c234d2
1518105c8e9545
hexc1934d5d050

13302400143440 has 40 divisors (see below), whose sum is σ = 30928317711720. Its totient is φ = 5320919218176.

The previous prime is 13302400143419. The next prime is 13302400143491. The reversal of 13302400143440 is 4434100420331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4314444111376 + 8987956032064 = 2077124^2 + 2997992^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11218652 + ... + 12347588.

It is an arithmetic number, because the mean of its divisors is an integer number (773207942793).

Almost surely, 213302400143440 is an apocalyptic number.

13302400143440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13302400143440 is an abundant number, since it is smaller than the sum of its proper divisors (17625917568280).

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

13302400143440 is a wasteful number, since it uses less digits than its factorization.

13302400143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276239 (or 1276233 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 13302400143440 its reverse (4434100420331), we get a palindrome (17736500563771).

The spelling of 13302400143440 in words is "thirteen trillion, three hundred two billion, four hundred million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 147289 294578 589156 736445 1128937 1178312 1472890 2257874 2356624 2945780 4515748 5644685 5891560 9031496 11289370 11783120 18062992 22578740 45157480 90314960 166280001793 332560003586 665120007172 831400008965 1330240014344 1662800017930 2660480028688 3325600035860 6651200071720 13302400143440