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4114240122120 = 233543797333357
BaseRepresentation
bin111011110111101011110…
…100100010110100001000
3112120022120110122012101020
4323313223310202310020
51014401430432401440
612430020020152440
7603146464011462
oct73675364426410
915508513565336
104114240122120
111346926322237
1256544a838720
1323ac818ab62b
141031b7701132
157204a45a3d0
hex3bdebd22d08

4114240122120 has 64 divisors (see below), whose sum is σ = 12629760390720. Its totient is φ = 1071616030464.

The previous prime is 4114240122101. The next prime is 4114240122133. The reversal of 4114240122120 is 212210424114.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398661519 + ... + 398671838.

It is an arithmetic number, because the mean of its divisors is an integer number (197340006105).

Almost surely, 24114240122120 is an apocalyptic number.

4114240122120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114240122120 is an abundant number, since it is smaller than the sum of its proper divisors (8515520268600).

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

4114240122120 is a wasteful number, since it uses less digits than its factorization.

4114240122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797333414 (or 797333410 counting only the distinct ones).

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

Adding to 4114240122120 its reverse (212210424114), we get a palindrome (4326450546234).

The spelling of 4114240122120 in words is "four trillion, one hundred fourteen billion, two hundred forty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 797333357 1594666714 2392000071 3189333428 3986666785 4784000142 6378666856 7973333570 9568000284 11960000355 15946667140 19136000568 23920000710 31893334280 34285334351 47840001420 68570668702 95680002840 102856003053 137141337404 171426671755 205712006106 274282674808 342853343510 411424012212 514280015265 685706687020 822848024424 1028560030530 1371413374040 2057120061060 4114240122120