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10141303040 = 285113731931
BaseRepresentation
bin10010111000111100…
…00000000100000000
3222011202122120110022
421130132000010000
5131232133144130
64354151153012
7506211440111
oct113436000400
928152576408
1010141303040
114334557090
121b70375768
13c5806293b
146c2c26208
153e54c07e5
hex25c780100

10141303040 has 144 divisors (see below), whose sum is σ = 26584721856. Its totient is φ = 3675955200.

The previous prime is 10141303021. The next prime is 10141303049. The reversal of 10141303040 is 4030314101.

It is a super-2 number, since 2×101413030402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10141303049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5250875 + ... + 5252805.

It is an arithmetic number, because the mean of its divisors is an integer number (184616124).

Almost surely, 210141303040 is an apocalyptic number.

10141303040 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 10141303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13292360928).

10141303040 is an abundant number, since it is smaller than the sum of its proper divisors (16443418816).

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

10141303040 is a wasteful number, since it uses less digits than its factorization.

10141303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10141303040 its reverse (4030314101), we get a palindrome (14171617141).

The spelling of 10141303040 in words is "ten billion, one hundred forty-one million, three hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 373 440 640 704 746 880 1280 1408 1492 1760 1865 1931 2816 2984 3520 3730 3862 4103 5968 7040 7460 7724 8206 9655 11936 14080 14920 15448 16412 19310 20515 21241 23872 29840 30896 32824 38620 41030 42482 47744 59680 61792 65648 77240 82060 84964 95488 106205 119360 123584 131296 154480 164120 169928 212410 238720 247168 262592 308960 328240 339856 424820 477440 494336 525184 617920 656480 679712 720263 849640 1050368 1235840 1312960 1359424 1440526 1699280 2471680 2625920 2718848 2881052 3398560 3601315 5251840 5437696 5762104 6797120 7202630 7922893 11524208 13594240 14405260 15845786 23048416 27188480 28810520 31691572 39614465 46096832 57621040 63383144 79228930 92193664 115242080 126766288 158457860 184387328 230484160 253532576 316915720 460968320 507065152 633831440 921936640 1014130304 1267662880 2028260608 2535325760 5070651520 10141303040