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1023332114440 = 235203411257721
BaseRepresentation
bin11101110010000110101…
…10001110000000001000
310121211101202220122102201
432321003112032000020
5113231241010130230
62102040130405544
7133635060311206
oct16710326160010
93554352818381
101023332114440
11364aa13338a9
121463b3a308b4
13756660bb00c
143775b0a8076
151b944cca5ca
hexee4358e008

1023332114440 has 32 divisors (see below), whose sum is σ = 2302612283160. Its totient is φ = 409312396800.

The previous prime is 1023332114423. The next prime is 1023332114447. The reversal of 1023332114440 is 444112333201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 600683901444 + 422648212996 = 775038^2 + 650114^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1023332114399 and 1023332114408.

It is not an unprimeable number, because it can be changed into a prime (1023332114447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184780 + ... + 1442500.

Almost surely, 21023332114440 is an apocalyptic number.

1023332114440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023332114440 is an abundant number, since it is smaller than the sum of its proper divisors (1279280168720).

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

1023332114440 is a wasteful number, since it uses less digits than its factorization.

1023332114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278073 (or 1278069 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1023332114440 its reverse (444112333201), we get a palindrome (1467444447641).

The spelling of 1023332114440 in words is "one trillion, twenty-three billion, three hundred thirty-two million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 20341 40682 81364 101705 162728 203410 406820 813640 1257721 2515442 5030884 6288605 10061768 12577210 25154420 50308840 25583302861 51166605722 102333211444 127916514305 204666422888 255833028610 511666057220 1023332114440