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1004344040120 = 23555639451277
BaseRepresentation
bin11101001110101111001…
…00011101101010111000
310120000101110111112020212
432213113210131222320
5112423344033240440
62045220030210252
7132363403325021
oct16472744355270
93500343445225
101004344040120
11357a380335a3
12142794953988
137392b267795
1436879355c48
151b1d2ce9465
hexe9d791dab8

1004344040120 has 32 divisors (see below), whose sum is σ = 2259819712800. Its totient is φ = 401729505408.

The previous prime is 1004344040113. The next prime is 1004344040137. The reversal of 1004344040120 is 210404434001.

It is a happy number.

It is a super-2 number, since 2×10043440401202 (a number of 25 digits) contains 22 as substring.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 1999922 + ... + 2451198.

It is an arithmetic number, because the mean of its divisors is an integer number (70619366025).

Almost surely, 21004344040120 is an apocalyptic number.

1004344040120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004344040120 is an abundant number, since it is smaller than the sum of its proper divisors (1255475672680).

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

1004344040120 is a wasteful number, since it uses less digits than its factorization.

1004344040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506927 (or 506923 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 1004344040120 its reverse (210404434001), we get a palindrome (1214748474121).

The spelling of 1004344040120 in words is "one trillion, four billion, three hundred forty-four million, forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 55639 111278 222556 278195 445112 451277 556390 902554 1112780 1805108 2225560 2256385 3610216 4512770 9025540 18051080 25108601003 50217202006 100434404012 125543005015 200868808024 251086010030 502172020060 1004344040120