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10424142320144 = 247125973925893
BaseRepresentation
bin1001011110110000111101…
…0011001101001000010000
31100220112112101211120001112
42113230033103031020100
52331242120413221034
634100441310552452
72124055651521320
oct227541723151020
940815471746045
1010424142320144
113359943645913
121204328208728
135a7cb94032a7
142807617b7280
151312510917ce
hex97b0f4cd210

10424142320144 has 40 divisors (see below), whose sum is σ = 23100363357120. Its totient is φ = 4463941062528.

The previous prime is 10424142320117. The next prime is 10424142320161. The reversal of 10424142320144 is 44102324142401.

It is a super-2 number, since 2×104241423201442 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10424142320144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36821939 + ... + 37103954.

It is an arithmetic number, because the mean of its divisors is an integer number (577509083928).

Almost surely, 210424142320144 is an apocalyptic number.

10424142320144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10424142320144 is an abundant number, since it is smaller than the sum of its proper divisors (12676221036976).

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

10424142320144 is a wasteful number, since it uses less digits than its factorization.

10424142320144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73927167 (or 73927161 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 10424142320144 its reverse (44102324142401), we get a palindrome (54526466462545).

The spelling of 10424142320144 in words is "ten trillion, four hundred twenty-four billion, one hundred forty-two million, three hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 1259 2518 5036 8813 10072 17626 20144 35252 70504 141008 73925893 147851786 295703572 517481251 591407144 1034962502 1182814288 2069925004 4139850008 8279700016 93072699287 186145398574 372290797148 651508895009 744581594296 1303017790018 1489163188592 2606035580036 5212071160072 10424142320144