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40044000040 = 23511233956917
BaseRepresentation
bin100101010010110011…
…101111001100101000
310211100201211222012121
4211102303233030220
51124002231000130
630221305521024
72615220245542
oct452263571450
9124321758177
1040044000040
1115a89880a10
1279167a3174
133a122199a5
141d1c382692
1510957c8d7a
hex952cef328

40044000040 has 64 divisors (see below), whose sum is σ = 102563314560. Its totient is φ = 13928344320.

The previous prime is 40044000019. The next prime is 40044000043. The reversal of 40044000040 is 4000044004.

40044000040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40043999978 and 40044000023.

It is not an unprimeable number, because it can be changed into a prime (40044000043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1968339 + ... + 1988578.

It is an arithmetic number, because the mean of its divisors is an integer number (1602551790).

Almost surely, 240044000040 is an apocalyptic number.

40044000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40044000040 is an abundant number, since it is smaller than the sum of its proper divisors (62519314520).

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

40044000040 is a wasteful number, since it uses less digits than its factorization.

40044000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956962 (or 3956958 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 40044000040 its reverse (4000044004), we get a palindrome (44044044044).

The spelling of 40044000040 in words is "forty billion, forty-four million, forty", and thus it is an aban number and an eban number.

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 3956917 7913834 15827668 19784585 31655336 39569170 43526087 79138340 87052174 91009091 158276680 174104348 182018182 217630435 348208696 364036364 435260870 455045455 728072728 870521740 910090910 1001100001 1741043480 1820181820 2002200002 3640363640 4004400004 5005500005 8008800008 10011000010 20022000020 40044000040