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10241410014024 = 2337531150203281
BaseRepresentation
bin1001010100001000001110…
…0110110001101101001000
31100021001212110202121102220
42111002003212301231020
52320243401430422044
633440501103254040
72104626454533210
oct225020346615510
940231773677386
1010241410014024
1132993a2a61702
121194a2b5aa320
135939b76a3777
14275988b79240
1512b608a71019
hex950839b1b48

10241410014024 has 64 divisors (see below), whose sum is σ = 29813269069440. Its totient is φ = 2870907386880.

The previous prime is 10241410013993. The next prime is 10241410014029. The reversal of 10241410014024 is 42041001414201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10241410013985 and 10241410014003.

It is not an unprimeable number, because it can be changed into a prime (10241410014029) 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, 575092737 + ... + 575110544.

It is an arithmetic number, because the mean of its divisors is an integer number (465832329210).

Almost surely, 210241410014024 is an apocalyptic number.

10241410014024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10241410014024 is an abundant number, since it is smaller than the sum of its proper divisors (19571859055416).

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

10241410014024 is a wasteful number, since it uses less digits than its factorization.

10241410014024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150203350 (or 1150203346 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10241410014024 its reverse (42041001414201), we get a palindrome (52282411428225).

The spelling of 10241410014024 in words is "ten trillion, two hundred forty-one billion, four hundred ten million, fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 2226 2968 4452 8904 1150203281 2300406562 3450609843 4600813124 6901219686 8051422967 9201626248 13802439372 16102845934 24154268901 27604878744 32205691868 48308537802 60960773893 64411383736 96617075604 121921547786 182882321679 193234151208 243843095572 365764643358 426725417251 487686191144 731529286716 853450834502 1280176251753 1463058573432 1706901669004 2560352503506 3413803338008 5120705007012 10241410014024