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141903822848 = 21520812
BaseRepresentation
bin1000010000101000100…
…0001000000000000000
3111120021112002002201112
42010022020020000000
54311104334312343
6145104551222452
713152336410144
oct2041210100000
9446245062645
10141903822848
11551aa010457
1223603377a28
13104c61338a8
146c2240d224
153a57e37218
hex210a208000

141903822848 has 48 divisors (see below), whose sum is σ = 283939759005. Its totient is φ = 70917816320.

The previous prime is 141903822811. The next prime is 141903822857. The reversal of 141903822848 is 848228309141.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 139792236544 + 2111586304 = 373888^2 + 45952^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=266368.

It is a super-2 number, since 2×1419038228482 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 141903822796 and 141903822805.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 68189168 + ... + 68191248.

Almost surely, 2141903822848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141903822848

141903822848 is an abundant number, since it is smaller than the sum of its proper divisors (142035936157).

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

141903822848 is an frugal number, since it uses more digits than its factorization.

141903822848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 50.

Multiplying 141903822848 by its sum of digits (50), we get a square (7095191142400 = 26636802).

The spelling of 141903822848 in words is "one hundred forty-one billion, nine hundred three million, eight hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2081 4096 4162 8192 8324 16384 16648 32768 33296 66592 133184 266368 532736 1065472 2130944 4261888 4330561 8523776 8661122 17047552 17322244 34095104 34644488 68190208 69288976 138577952 277155904 554311808 1108623616 2217247232 4434494464 8868988928 17737977856 35475955712 70951911424 141903822848