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1002044141340 = 22351121723834253
BaseRepresentation
bin11101001010011100111…
…11000010111100011100
310112210110011211120020120
432211032133002330130
5112404141300010330
62044155511314540
7132252405444534
oct16451637027434
93483404746216
101002044141340
11356a67881600
1214225267ba50
1373652929728
14366dbb124c4
151b0eae47c10
hexe94e7c2f1c

1002044141340 has 576 divisors, whose sum is σ = 3449224332288. Its totient is φ = 216004321280.

The previous prime is 1002044141269. The next prime is 1002044141341. The reversal of 1002044141340 is 431414402001.

It is a super-2 number, since 2×10020441413402 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1002044141340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002044141341) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 235606654 + ... + 235610906.

It is an arithmetic number, because the mean of its divisors is an integer number (5988236688).

Almost surely, 21002044141340 is an apocalyptic number.

1002044141340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002044141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724612166144).

1002044141340 is an abundant number, since it is smaller than the sum of its proper divisors (2447180190948).

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

1002044141340 is a wasteful number, since it uses less digits than its factorization.

1002044141340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4410 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1002044141340 its reverse (431414402001), we get a palindrome (1433458543341).

The spelling of 1002044141340 in words is "one trillion, two billion, forty-four million, one hundred forty-one thousand, three hundred forty".