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10424441020240 = 245132771038537
BaseRepresentation
bin1001011110110010000100…
…0110101001111101010000
31100220120022012220002120001
42113230201012221331100
52331243223400121430
634100531101055344
72124066236445142
oct227544106517520
940816265802501
1010424441020240
113359a872116a5
1212043b0257554
135a8036267500
1428078d32cc92
1513126c3e53ca
hex97b211a9f50

10424441020240 has 60 divisors (see below), whose sum is σ = 26244609756444. Its totient is φ = 3849024371712.

The previous prime is 10424441020237. The next prime is 10424441020243. The reversal of 10424441020240 is 4202014442401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10424441020237) and next prime (10424441020243).

It can be written as a sum of positive squares in 6 ways, for example, as 4399556590144 + 6024884430096 = 2097512^2 + 2454564^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10424441020199 and 10424441020208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10424441020243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 385505749 + ... + 385532788.

Almost surely, 210424441020240 is an apocalyptic number.

10424441020240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10424441020240 is an abundant number, since it is smaller than the sum of its proper divisors (15820168736204).

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

10424441020240 is a wasteful number, since it uses less digits than its factorization.

10424441020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771038576 (or 771038557 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 10424441020240 its reverse (4202014442401), we get a palindrome (14626455462641).

The spelling of 10424441020240 in words is "ten trillion, four hundred twenty-four billion, four hundred forty-one million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2704 3380 6760 13520 771038537 1542077074 3084154148 3855192685 6168308296 7710385370 10023500981 12336616592 15420770740 20047001962 30841541480 40094003924 50117504905 61683082960 80188007848 100235009810 130305512753 160376015696 200470019620 260611025506 400940039240 521222051012 651527563765 801880078480 1042444102024 1303055127530 2084888204048 2606110255060 5212220510120 10424441020240