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1243243455040 = 26553277264637
BaseRepresentation
bin10010000101110111000…
…101011010001001000000
311101212000202220020100101
4102011313011122021000
5130332130311030130
62351045501532144
7155551506001666
oct22056705321100
94355022806311
101243243455040
1143a290578994
12180b47874054
1390311612122
144425d792c36
15225163061ca
hex1217715a240

1243243455040 has 112 divisors (see below), whose sum is σ = 3027232189872. Its totient is φ = 486151151616.

The previous prime is 1243243455019. The next prime is 1243243455061. The reversal of 1243243455040 is 405543423421.

It is an interprime number because it is at equal distance from previous prime (1243243455019) and next prime (1243243455061).

It can be written as a sum of positive squares in 8 ways, for example, as 57461842944 + 1185781612096 = 239712^2 + 1088936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4565602 + ... + 4830238.

Almost surely, 21243243455040 is an apocalyptic number.

1243243455040 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 1243243455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513616094936).

1243243455040 is an abundant number, since it is smaller than the sum of its proper divisors (1783988734832).

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

1243243455040 is a wasteful number, since it uses less digits than its factorization.

1243243455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264984 (or 264974 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 1243243455040 its reverse (405543423421), we get a palindrome (1648786878461).

The spelling of 1243243455040 in words is "one trillion, two hundred forty-three billion, two hundred forty-three million, four hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 277 320 424 530 554 848 1060 1108 1385 1696 2120 2216 2770 3392 4240 4432 5540 8480 8864 11080 14681 16960 17728 22160 29362 44320 58724 73405 88640 117448 146810 234896 264637 293620 469792 529274 587240 939584 1058548 1174480 1323185 2117096 2348960 2646370 4234192 4697920 5292740 8468384 10585480 14025761 16936768 21170960 28051522 42341920 56103044 70128805 73304449 84683840 112206088 140257610 146608898 224412176 280515220 293217796 366522245 448824352 561030440 586435592 733044490 897648704 1122060880 1172871184 1466088980 2244121760 2345742368 2932177960 3885135797 4488243520 4691484736 5864355920 7770271594 11728711840 15540543188 19425678985 23457423680 31081086376 38851357970 62162172752 77702715940 124324345504 155405431880 248648691008 310810863760 621621727520 1243243455040