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10302143024240 = 2456726338918787
BaseRepresentation
bin1001010111101010011110…
…0100110100110001110000
31100110212122001122012011122
42111322213210310301300
52322242242103233430
633524423354401412
72112206464566014
oct225724744646160
940425561565148
1010302143024240
113312129185131
1211a475aa30268
13599645c5a1c2
142788aab1a544
1512ceb0816ee5
hex95ea7934c70

10302143024240 has 160 divisors (see below), whose sum is σ = 24466449047040. Its totient is φ = 4033306708992.

The previous prime is 10302143024209. The next prime is 10302143024287. The reversal of 10302143024240 is 4242034120301.

10302143024240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103021430242402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548356127 + ... + 548374913.

It is an arithmetic number, because the mean of its divisors is an integer number (152915306544).

Almost surely, 210302143024240 is an apocalyptic number.

10302143024240 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 10302143024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12233224523520).

10302143024240 is an abundant number, since it is smaller than the sum of its proper divisors (14164306022800).

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

10302143024240 is a wasteful number, since it uses less digits than its factorization.

10302143024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19519 (or 19513 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10302143024240 its reverse (4242034120301), we get a palindrome (14544177144541).

The spelling of 10302143024240 in words is "ten trillion, three hundred two billion, one hundred forty-three million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 263 268 335 389 526 536 670 778 1052 1072 1315 1340 1556 1945 2104 2630 2680 3112 3890 4208 5260 5360 6224 7780 10520 15560 17621 18787 21040 26063 31120 35242 37574 52126 70484 75148 88105 93935 102307 104252 130315 140968 150296 176210 187870 204614 208504 260630 281936 300592 352420 375740 409228 417008 511535 521260 704840 751480 818456 1023070 1042520 1258729 1409680 1502960 1636912 2046140 2085040 2517458 4092280 4940981 5034916 6293645 6854569 7308143 8184560 9881962 10069832 12587290 13709138 14616286 19763924 20139664 24704905 25174580 27418276 29232572 34272845 36540715 39527848 49409810 50349160 54836552 58465144 68545690 73081430 79055696 98819620 100698320 109673104 116930288 137091380 146162860 197639240 274182760 292325720 331045727 395278480 489645581 548365520 584651440 662091454 979291162 1324182908 1655228635 1922041609 1958582324 2448227905 2648365816 3310457270 3844083218 3917164648 4896455810 5296731632 6620914540 7688166436 7834329296 9610208045 9792911620 13241829080 15376332872 19220416090 19585823240 26483658160 30752665744 38440832180 39171646480 76881664360 128776787803 153763328720 257553575606 515107151212 643883939015 1030214302424 1287767878030 2060428604848 2575535756060 5151071512120 10302143024240