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1004344040140 = 225723311908087
BaseRepresentation
bin11101001110101111001…
…00011101101011001100
310120000101110111112021121
432213113210131223030
5112423344033241030
62045220030210324
7132363403325050
oct16472744355314
93500343445247
101004344040140
11357a38033611
121427949539a4
137392b2677ac
1436879355c60
151b1d2ce947a
hexe9d791dacc

1004344040140 has 48 divisors (see below), whose sum is σ = 2515226821632. Its totient is φ = 329374938816.

The previous prime is 1004344040137. The next prime is 1004344040173. The reversal of 1004344040140 is 410404434001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155950824 + ... + 155957263.

It is an arithmetic number, because the mean of its divisors is an integer number (52400558784).

Almost surely, 21004344040140 is an apocalyptic number.

1004344040140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004344040140 is an abundant number, since it is smaller than the sum of its proper divisors (1510882781492).

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

1004344040140 is a wasteful number, since it uses less digits than its factorization.

1004344040140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311908126 (or 311908124 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1004344040140 its reverse (410404434001), we get a palindrome (1414748474141).

The spelling of 1004344040140 in words is "one trillion, four billion, three hundred forty-four million, forty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 311908087 623816174 1247632348 1559540435 2183356609 3119080870 4366713218 6238161740 7173886001 8733426436 10916783045 14347772002 21833566090 28695544004 35869430005 43667132180 50217202007 71738860010 100434404014 143477720020 200868808028 251086010035 502172020070 1004344040140