Search a number
-
+
1303242241440 = 253517159711059
BaseRepresentation
bin10010111101101111010…
…010100111010110100000
311121120220012012101100110
4102331233102213112200
5132323020003211230
62434411244051320
7163104362163336
oct22755722472640
94546805171313
101303242241440
1146277a2a7177
121906b1233b40
1395b83a35ab9
144711200bb56
1523d788b94b0
hex12f6f4a75a0

1303242241440 has 96 divisors (see below), whose sum is σ = 4346696208960. Its totient is φ = 327088246784.

The previous prime is 1303242241421. The next prime is 1303242241447. The reversal of 1303242241440 is 441422423031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1303242241398 and 1303242241407.

It is not an unprimeable number, because it can be changed into a prime (1303242241447) 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, 79847370 + ... + 79863689.

It is an arithmetic number, because the mean of its divisors is an integer number (45278085510).

Almost surely, 21303242241440 is an apocalyptic number.

1303242241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303242241440 is an abundant number, since it is smaller than the sum of its proper divisors (3043453967520).

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

1303242241440 is a wasteful number, since it uses less digits than its factorization.

1303242241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159711094 (or 159711086 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1303242241440 its reverse (441422423031), we get a palindrome (1744664664471).

The spelling of 1303242241440 in words is "one trillion, three hundred three billion, two hundred forty-two million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 159711059 319422118 479133177 638844236 798555295 958266354 1277688472 1597110590 1916532708 2395665885 2555376944 2715088003 3194221180 3833065416 4791331770 5110753888 5430176006 6388442360 7666130832 8145264009 9582663540 10860352012 12776884720 13575440015 15332261664 16290528018 19165327080 21720704024 25553769440 27150880030 32581056036 38330654160 40726320045 43441408048 54301760060 65162112072 76661308320 81452640090 86882816096 108603520120 130324224144 162905280180 217207040240 260648448288 325810560360 434414080480 651621120720 1303242241440