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10233203201440 = 255100096390001
BaseRepresentation
bin1001010011101001101001…
…1100010001010110100000
31100020021200112012100000021
42110322122130101112200
52320130100004421230
633433022455003224
72104216213013002
oct224723234212640
940207615170007
1010233203201440
11329597147896a
12119331b069514
13592caa35c54b
1427540ac38372
1512b2c8322c7a
hex94e9a7115a0

10233203201440 has 48 divisors (see below), whose sum is σ = 24178361767560. Its totient is φ = 4092871680000.

The previous prime is 10233203201359. The next prime is 10233203201453. The reversal of 10233203201440 is 4410230233201.

It can be written as a sum of positive squares in 4 ways, for example, as 9776102808976 + 457100392464 = 3126676^2 + 676092^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1593561 + ... + 4796440.

Almost surely, 210233203201440 is an apocalyptic number.

10233203201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10233203201440 is an abundant number, since it is smaller than the sum of its proper divisors (13945158566120).

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

10233203201440 is a wasteful number, since it uses less digits than its factorization.

10233203201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400025 (or 6400017 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 10233203201440 its reverse (4410230233201), we get a palindrome (14643433434641).

The spelling of 10233203201440 in words is "ten trillion, two hundred thirty-three billion, two hundred three million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 10009 20018 40036 50045 80072 100090 160144 200180 320288 400360 800720 1601440 6390001 12780002 25560004 31950005 51120008 63900010 102240016 127800020 204480032 255600040 511200080 1022400160 63957520009 127915040018 255830080036 319787600045 511660160072 639575200090 1023320320144 1279150400180 2046640640288 2558300800360 5116601600720 10233203201440