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10141041040240 = 24511179283227489
BaseRepresentation
bin1001001110010010010100…
…1001100001101101110000
31022220110210120211110022111
42103210211021201231300
52312122323001241430
633322421400015104
72064444310404325
oct223444511415560
938813716743274
1010141041040240
11325a8783220a0
12117949a161494
135873b05c6856
14270b86b0cb4c
15128bd2250c2a
hex93925261b70

10141041040240 has 160 divisors (see below), whose sum is σ = 25956572601600. Its totient is φ = 3654076047360.

The previous prime is 10141041040199. The next prime is 10141041040289. The reversal of 10141041040240 is 4204014014101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 44464416 + ... + 44691904.

It is an arithmetic number, because the mean of its divisors is an integer number (162228578760).

Almost surely, 210141041040240 is an apocalyptic number.

10141041040240 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 10141041040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12978286300800).

10141041040240 is an abundant number, since it is smaller than the sum of its proper divisors (15815531561360).

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

10141041040240 is a wasteful number, since it uses less digits than its factorization.

10141041040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227975 (or 227969 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 10141041040240 its reverse (4204014014101), we get a palindrome (14345055054341).

The spelling of 10141041040240 in words is "ten trillion, one hundred forty-one billion, forty-one million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 179 220 283 358 440 566 716 880 895 1132 1415 1432 1790 1969 2264 2830 2864 3113 3580 3938 4528 5660 6226 7160 7876 9845 11320 12452 14320 15565 15752 19690 22640 24904 31130 31504 39380 49808 50657 62260 78760 101314 124520 157520 202628 227489 249040 253285 405256 454978 506570 557227 810512 909956 1013140 1114454 1137445 1819912 2026280 2228908 2274890 2502379 2786135 3639824 4052560 4457816 4549780 5004758 5572270 8915632 9099560 10009516 11144540 12511895 18199120 20019032 22289080 25023790 40038064 40720531 44578160 50047580 64379387 81441062 100095160 128758774 162882124 200190320 203602655 257517548 321896935 325764248 407205310 447925841 515035096 643793870 651528496 708173257 814410620 895851682 1030070192 1287587740 1416346514 1628821240 1791703364 2239629205 2575175480 2832693028 3257642480 3540866285 3583406728 4479258410 5150350960 5665386056 7081732570 7166813456 8958516820 11330772112 11523910273 14163465140 17917033640 23047820546 28326930280 35834067280 46095641092 56653860560 57619551365 92191282184 115239102730 126763013003 184382564368 230478205460 253526026006 460956410920 507052052012 633815065015 921912821840 1014104104024 1267630130030 2028208208048 2535260260060 5070520520120 10141041040240