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1003040314140 = 2235171361722537
BaseRepresentation
bin11101001100010011101…
…11001001001100011100
310112220000121022101102110
432212021313021030130
5112413211310023030
62044442414554020
7132316162665444
oct16461167111434
93486017271373
101003040314140
11357429120a07
12142490208910
13737811268a7
1436794145124
151b1586201b0
hexe989dc931c

1003040314140 has 96 divisors (see below), whose sum is σ = 2975908590144. Its totient is φ = 251558133760.

The previous prime is 1003040314127. The next prime is 1003040314147. The reversal of 1003040314140 is 414130403001.

1003040314140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003040314147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1026952 + ... + 1749488.

It is an arithmetic number, because the mean of its divisors is an integer number (30999047814).

Almost surely, 21003040314140 is an apocalyptic number.

1003040314140 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 1003040314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487954295072).

1003040314140 is an abundant number, since it is smaller than the sum of its proper divisors (1972868276004).

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

1003040314140 is a wasteful number, since it uses less digits than its factorization.

1003040314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723927 (or 723925 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1003040314140 its reverse (414130403001), we get a palindrome (1417170717141).

The spelling of 1003040314140 in words is "one trillion, three billion, forty million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1361 2722 4083 5444 6805 8166 13610 16332 20415 23137 27220 40830 46274 69411 81660 92548 115685 138822 231370 277644 347055 462740 694110 722537 1388220 1445074 2167611 2890148 3612685 4335222 7225370 8670444 10838055 12283129 14450740 21676110 24566258 36849387 43352220 49132516 61415645 73698774 122831290 147397548 184246935 245662580 368493870 736987740 983372857 1966745714 2950118571 3933491428 4916864285 5900237142 9833728570 11800474284 14750592855 16717338569 19667457140 29501185710 33434677138 50152015707 59002371420 66869354276 83586692845 100304031414 167173385690 200608062828 250760078535 334346771380 501520157070 1003040314140