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1023031433040 = 24354262630971
BaseRepresentation
bin11101110001100010110…
…11001101011101010000
310121210121211010110002120
432320301123031131100
5113230132021324130
62101550230014240
7133624446463101
oct16706133153520
93553554113076
101023031433040
11364957634481
1214632b1a7380
1375618a12026
143772d1983a8
151b9286d4910
hexee316cd750

1023031433040 has 40 divisors (see below), whose sum is σ = 3171397443168. Its totient is φ = 272808382080.

The previous prime is 1023031432991. The next prime is 1023031433077. The reversal of 1023031433040 is 403341303201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1023031433040.

It is a congruent number.

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, 2131315246 + ... + 2131315725.

Almost surely, 21023031433040 is an apocalyptic number.

1023031433040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023031433040 is an abundant number, since it is smaller than the sum of its proper divisors (2148366010128).

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

1023031433040 is a wasteful number, since it uses less digits than its factorization.

1023031433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262630987 (or 4262630981 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1023031433040 its reverse (403341303201), we get a palindrome (1426372736241).

It can be divided in two parts, 1023031 and 433040, that added together give a triangular number (1456071 = T1706).

The spelling of 1023031433040 in words is "one trillion, twenty-three billion, thirty-one million, four hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4262630971 8525261942 12787892913 17050523884 21313154855 25575785826 34101047768 42626309710 51151571652 63939464565 68202095536 85252619420 102303143304 127878929130 170505238840 204606286608 255757858260 341010477680 511515716520 1023031433040