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1002991716440 = 23573582113273
BaseRepresentation
bin11101001100001101111…
…01110000100001011000
310112212220012212100220122
432212012331300201120
5112413111334411230
62044433521212412
7132315032631260
oct16460675604130
93485805770818
101002991716440
1135740374881a
12142477a91108
137377403c85c
143678b8d47a0
151b154220be5
hexe986f70858

1002991716440 has 32 divisors (see below), whose sum is σ = 2579121557280. Its totient is φ = 343882874112.

The previous prime is 1002991716437. The next prime is 1002991716443. The reversal of 1002991716440 is 446171992001.

It is an interprime number because it is at equal distance from previous prime (1002991716437) and next prime (1002991716443).

It is a junction number, because it is equal to n+sod(n) for n = 1002991716391 and 1002991716400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002991716443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1791056357 + ... + 1791056916.

It is an arithmetic number, because the mean of its divisors is an integer number (80597548665).

Almost surely, 21002991716440 is an apocalyptic number.

1002991716440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002991716440 is an abundant number, since it is smaller than the sum of its proper divisors (1576129840840).

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

1002991716440 is a wasteful number, since it uses less digits than its factorization.

1002991716440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582113291 (or 3582113287 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The spelling of 1002991716440 in words is "one trillion, two billion, nine hundred ninety-one million, seven hundred sixteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 3582113273 7164226546 14328453092 17910566365 25074792911 28656906184 35821132730 50149585822 71642265460 100299171644 125373964555 143284530920 200598343288 250747929110 501495858220 1002991716440