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10363417214440 = 2351715240319433
BaseRepresentation
bin1001011011001110101111…
…0011010011110111101000
31100200201210100211120021111
42112303223303103313220
52324243234301330230
634012515501120104
72116506065606653
oct226635363236750
940621710746244
1010363417214440
113336111931144
1211b45bb559034
135a235c686694
1427b8408d289a
1512e899d5c92a
hex96cebcd3de8

10363417214440 has 32 divisors (see below), whose sum is σ = 24689317483080. Its totient is φ = 3901521774592.

The previous prime is 10363417214429. The next prime is 10363417214471. The reversal of 10363417214440 is 4441271436301.

It can be written as a sum of positive squares in 4 ways, for example, as 10361587599364 + 1829615076 = 3218942^2 + 42774^2 .

It is a super-3 number, since 3×103634172144403 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10363417214393 and 10363417214402.

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, 7620159037 + ... + 7620160396.

Almost surely, 210363417214440 is an apocalyptic number.

10363417214440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10363417214440 is an abundant number, since it is smaller than the sum of its proper divisors (14325900268640).

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

10363417214440 is a wasteful number, since it uses less digits than its factorization.

10363417214440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15240319461 (or 15240319457 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 10363417214440 in words is "ten trillion, three hundred sixty-three billion, four hundred seventeen million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 15240319433 30480638866 60961277732 76201597165 121922555464 152403194330 259085430361 304806388660 518170860722 609612777320 1036341721444 1295427151805 2072683442888 2590854303610 5181708607220 10363417214440