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30431333040 = 2435396731963
BaseRepresentation
bin11100010101110110…
…010100101010110000
32220112210220220001220
4130111312110222300
5444310410124130
621551401025040
72125055030403
oct342566245260
986483826056
1030431333040
11119a676aa19
125a93485180
132b3c857354
141689847d3a
15bd192b410
hex715d94ab0

30431333040 has 80 divisors (see below), whose sum is σ = 94363865088. Its totient is φ = 8112722688.

The previous prime is 30431333029. The next prime is 30431333059. The reversal of 30431333040 is 4033313403.

It is a tau number, because it is divible by the number of its divisors (80).

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 30431333040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936099 + ... + 968061.

Almost surely, 230431333040 is an apocalyptic number.

30431333040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30431333040 is an abundant number, since it is smaller than the sum of its proper divisors (63932532048).

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

30431333040 is a wasteful number, since it uses less digits than its factorization.

30431333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35946 (or 35940 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 30431333040 its reverse (4033313403), we get a palindrome (34464646443).

The spelling of 30431333040 in words is "thirty billion, four hundred thirty-one million, three 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 3967 7934 11901 15868 19835 23802 31736 31963 39670 47604 59505 63472 63926 79340 95208 95889 119010 127852 158680 159815 190416 191778 238020 255704 317360 319630 383556 476040 479445 511408 639260 767112 952080 958890 1278520 1534224 1917780 2557040 3835560 7671120 126797221 253594442 380391663 507188884 633986105 760783326 1014377768 1267972210 1521566652 1901958315 2028755536 2535944420 3043133304 3803916630 5071888840 6086266608 7607833260 10143777680 15215666520 30431333040