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1002343001240 = 235725779717477
BaseRepresentation
bin11101001011000000100…
…11000110110010011000
310112211020000012012221202
432211200103012302120
5112410244302014430
62044245305053332
7132262664635310
oct16454023066230
93484200165852
101002343001240
11357100547459
12142316787248
137369c8185c9
14367296aa440
151b1172cdd45
hexe9604c6c98

1002343001240 has 128 divisors (see below), whose sum is σ = 2590877197440. Its totient is φ = 341874180096.

The previous prime is 1002343001207. The next prime is 1002343001249. The reversal of 1002343001240 is 421003432001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002343001249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57343382 + ... + 57360858.

It is an arithmetic number, because the mean of its divisors is an integer number (20241228105).

Almost surely, 21002343001240 is an apocalyptic number.

1002343001240 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 1002343001240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295438598720).

1002343001240 is an abundant number, since it is smaller than the sum of its proper divisors (1588534196200).

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

1002343001240 is a wasteful number, since it uses less digits than its factorization.

1002343001240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18549 (or 18545 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1002343001240 its reverse (421003432001), we get a palindrome (1423346433241).

The spelling of 1002343001240 in words is "one trillion, two billion, three hundred forty-three million, one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 257 280 514 797 1028 1285 1594 1799 2056 2570 3188 3598 3985 5140 5579 6376 7196 7970 8995 10280 11158 14392 15940 17477 17990 22316 27895 31880 34954 35980 44632 55790 69908 71960 87385 111580 122339 139816 174770 204829 223160 244678 349540 409658 489356 611695 699080 819316 978712 1024145 1223390 1433803 1638632 2048290 2446780 2867606 4096580 4491589 4893560 5735212 7169015 8193160 8983178 11470424 13929169 14338030 17966356 22457945 27858338 28676060 31441123 35932712 44915890 55716676 57352120 62882246 69645845 89831780 97504183 111433352 125764492 139291690 157205615 179663560 195008366 251528984 278583380 314411230 390016732 487520915 557166760 628822460 780033464 975041830 1257644920 1950083660 3579796433 3900167320 7159592866 14319185732 17898982165 25058575031 28638371464 35797964330 50117150062 71595928660 100234300124 125292875155 143191857320 200468600248 250585750310 501171500620 1002343001240