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10424142320112 = 243289813369407
BaseRepresentation
bin1001011110110000111101…
…0011001101000111110000
31100220112112101211120000100
42113230033103031013300
52331242120413220422
634100441310552400
72124055651521243
oct227541723150760
940815471746010
1010424142320112
113359943645894
121204328208700
135a7cb9403281
142807617b725a
151312510917ac
hex97b0f4cd1f0

10424142320112 has 60 divisors (see below), whose sum is σ = 29500908428160. Its totient is φ = 3435672370944.

The previous prime is 10424142320087. The next prime is 10424142320117. The reversal of 10424142320112 is 21102324142401.

10424142320112 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 414 + 232 + 0 + 1 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10424142320117) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 406671888 + ... + 406697519.

It is an arithmetic number, because the mean of its divisors is an integer number (491681807136).

Almost surely, 210424142320112 is an apocalyptic number.

10424142320112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10424142320112 is an abundant number, since it is smaller than the sum of its proper divisors (19076766108048).

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

10424142320112 is a wasteful number, since it uses less digits than its factorization.

10424142320112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813369510 (or 813369501 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10424142320112 its reverse (21102324142401), we get a palindrome (31526466462513).

The spelling of 10424142320112 in words is "ten trillion, four hundred twenty-four billion, one hundred forty-two million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 4272 6408 12816 813369407 1626738814 2440108221 3253477628 4880216442 6506955256 7320324663 9760432884 13013910512 14640649326 19520865768 29281298652 39041731536 58562597304 72389877223 117125194608 144779754446 217169631669 289559508892 434339263338 579119017784 651508895007 868678526676 1158238035568 1303017790014 1737357053352 2606035580028 3474714106704 5212071160056 10424142320112