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42341402440224 = 2532149986703077
BaseRepresentation
bin10011010000010011000000…
…10000000111001000100000
312112220210120010200202211200
421220021200100013020200
521022210143011041344
6230015212144241200
711630031265313106
oct1150114020071040
9175823503622750
1042341402440224
11125449849262a8
1248ba06a010200
131a81a14434374
14a65498a23c76
154d65e5068069
hex268260407220

42341402440224 has 72 divisors (see below), whose sum is σ = 121216473132300. Its totient is φ = 14019077303808.

The previous prime is 42341402440133. The next prime is 42341402440229. The reversal of 42341402440224 is 42204420414324.

42341402440224 is a `hidden beast` number, since 4 + 23 + 4 + 1 + 402 + 4 + 4 + 0 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36460680439824 + 5880722000400 = 6038268^2 + 2425020^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42341402440229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 493308627 + ... + 493394450.

Almost surely, 242341402440224 is an apocalyptic number.

It is an amenable number.

42341402440224 is an abundant number, since it is smaller than the sum of its proper divisors (78875070692076).

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

42341402440224 is a wasteful number, since it uses less digits than its factorization.

42341402440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986703242 (or 986703231 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 42341402440224 its reverse (42204420414324), we get a palindrome (84545822854548).

The spelling of 42341402440224 in words is "forty-two trillion, three hundred forty-one billion, four hundred two million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 149 288 298 447 596 894 1192 1341 1788 2384 2682 3576 4768 5364 7152 10728 14304 21456 42912 986703077 1973406154 2960109231 3946812308 5920218462 7893624616 8880327693 11840436924 15787249232 17760655386 23680873848 31574498464 35521310772 47361747696 71042621544 94723495392 142085243088 147018758473 284170486176 294037516946 441056275419 588075033892 882112550838 1176150067784 1323168826257 1764225101676 2352300135568 2646337652514 3528450203352 4704600271136 5292675305028 7056900406704 10585350610056 14113800813408 21170701220112 42341402440224