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33440040040 = 2351176000091
BaseRepresentation
bin11111001001001011…
…101000010001101000
310012022111100001011111
4133021023220101220
51021441122240130
623210120040104
72262450436051
oct371113502150
9105274301144
1033440040040
1113200038030
126593003034
1331cbc99a54
141893279728
15d0ab4002a
hex7c92e8468

33440040040 has 32 divisors (see below), whose sum is σ = 82080099360. Its totient is φ = 12160014400.

The previous prime is 33440040037. The next prime is 33440040047. The reversal of 33440040040 is 4004004433.

It is a happy number.

It is a super-2 number, since 2×334400400402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

33440040040 is a modest number, since divided by 40040 gives 33440 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 33440039993 and 33440040020.

It is not an unprimeable number, because it can be changed into a prime (33440040047) 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, 37999606 + ... + 38000485.

It is an arithmetic number, because the mean of its divisors is an integer number (2565003105).

Almost surely, 233440040040 is an apocalyptic number.

It is an amenable number.

33440040040 is an abundant number, since it is smaller than the sum of its proper divisors (48640059320).

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

33440040040 is a wasteful number, since it uses less digits than its factorization.

33440040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76000113 (or 76000109 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 33440040040 its reverse (4004004433), we get a palindrome (37444044473).

The spelling of 33440040040 in words is "thirty-three billion, four hundred forty million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 76000091 152000182 304000364 380000455 608000728 760000910 836001001 1520001820 1672002002 3040003640 3344004004 4180005005 6688008008 8360010010 16720020020 33440040040