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10403142223440 = 2435431008056417
BaseRepresentation
bin1001011101100010101110…
…0110001100011001010000
31100211112022212110010001010
42113120223212030121100
52330421113402122230
634043045414010520
72122413363611511
oct227305346143120
940745285403033
1010403142223440
113350a4763739a
121200247346a40
135a6020786475
1427d72c75aa08
151309226259b0
hex9762b98c650

10403142223440 has 80 divisors (see below), whose sum is σ = 32999734899648. Its totient is φ = 2709655646208.

The previous prime is 10403142223433. The next prime is 10403142223457. The reversal of 10403142223440 is 4432224130401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×104031422234402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10403142223398 and 10403142223407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504017889 + ... + 504038528.

Almost surely, 210403142223440 is an apocalyptic number.

10403142223440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10403142223440 is an abundant number, since it is smaller than the sum of its proper divisors (22596592676208).

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

10403142223440 is a wasteful number, since it uses less digits than its factorization.

10403142223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008056476 (or 1008056470 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10403142223440 its reverse (4432224130401), we get a palindrome (14835366353841).

The spelling of 10403142223440 in words is "ten trillion, four hundred three billion, one hundred forty-two million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 1008056417 2016112834 3024169251 4032225668 5040282085 6048338502 8064451336 10080564170 12096677004 15120846255 16128902672 20161128340 24193354008 30241692510 40322256680 43346425931 48386708016 60483385020 80644513360 86692851862 120966770040 130039277793 173385703724 216732129655 241933540080 260078555586 346771407448 433464259310 520157111172 650196388965 693542814896 866928518620 1040314222344 1300392777930 1733857037240 2080628444688 2600785555860 3467714074480 5201571111720 10403142223440