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142410133300240 = 24513178054871793
BaseRepresentation
bin100000011000010101110001…
…011010000110010000010000
3200200020021110001020202020101
4200120111301122012100100
5122131221423111101430
61222514151224022144
741665535601234421
oct4030256132062020
9620207401222211
10142410133300240
1141415886694923
1213b80055601954
1361602aaaa3240
142724989a81648
15116e633801dca
hex818571686410

142410133300240 has 80 divisors (see below), whose sum is σ = 377547950728368. Its totient is φ = 49489132290048.

The previous prime is 142410133300217. The next prime is 142410133300297. The reversal of 142410133300240 is 42003331014241.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 32997947539456 + 109412185760784 = 5744384^2 + 10460028^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 142410133300199 and 142410133300208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4027418217 + ... + 4027453576.

Almost surely, 2142410133300240 is an apocalyptic number.

142410133300240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142410133300240 is an abundant number, since it is smaller than the sum of its proper divisors (235137817428128).

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

142410133300240 is a wasteful number, since it uses less digits than its factorization.

142410133300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8054871836 (or 8054871830 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 142410133300240 its reverse (42003331014241), we get a palindrome (184413464314481).

The spelling of 142410133300240 in words is "one hundred forty-two trillion, four hundred ten billion, one hundred thirty-three million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1768 2210 3536 4420 8840 17680 8054871793 16109743586 32219487172 40274358965 64438974344 80548717930 104713333309 128877948688 136932820481 161097435860 209426666618 273865640962 322194871720 418853333236 523566666545 547731281924 644389743440 684664102405 837706666472 1047133333090 1095462563848 1369328204810 1675413332944 1780126666253 2094266666180 2190925127696 2738656409620 3560253332506 4188533332360 5477312819240 7120506665012 8377066664720 8900633331265 10954625638480 14241013330024 17801266662530 28482026660048 35602533325060 71205066650120 142410133300240