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10114041043240 = 2355314197336041
BaseRepresentation
bin1001001100101101101111…
…0100101101100100101000
31022210220002220120111101121
42103023123310231210220
52311202024001340430
633302154252225024
72062500236253031
oct223133364554450
938726086514347
1010114041043240
11324a382550792
121174203a6b174
13584999917474
1426d744caba88
15128151bbba7a
hex932dbd2d928

10114041043240 has 64 divisors (see below), whose sum is σ = 23187664175760. Its totient is φ = 3968992634880.

The previous prime is 10114041043219. The next prime is 10114041043247. The reversal of 10114041043240 is 4234014041101.

10114041043240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9788801234436 + 325239808804 = 3128706^2 + 570298^2 .

It is not an unprimeable number, because it can be changed into a prime (10114041043247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29929620 + ... + 30265660.

Almost surely, 210114041043240 is an apocalyptic number.

10114041043240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114041043240 is an abundant number, since it is smaller than the sum of its proper divisors (13073623132520).

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

10114041043240 is a wasteful number, since it uses less digits than its factorization.

10114041043240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350302 (or 350298 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10114041043240 its reverse (4234014041101), we get a palindrome (14348055084341).

The spelling of 10114041043240 in words is "ten trillion, one hundred fourteen billion, forty-one million, forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 14197 28394 56788 70985 113576 141970 283940 336041 567880 672082 752441 1344164 1504882 1680205 2688328 3009764 3360410 3762205 6019528 6720820 7524410 13441640 15048820 17810173 30097640 35620346 71240692 89050865 142481384 178101730 356203460 712406920 4770774077 9541548154 19083096308 23853870385 38166192616 47707740770 95415481540 190830963080 252851026081 505702052162 1011404104324 1264255130405 2022808208648 2528510260810 5057020521620 10114041043240