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1322414025504 = 253111396329693
BaseRepresentation
bin10011001111100110000…
…001001010101100100000
311200102101022021220220220
4103033212001022230200
5133131300442304004
62451301510003040
7164353436515455
oct23174601125440
94612338256826
101322414025504
1146a918273310
12194361946480
139791a95b920
144801030182c
15245eba87dd9
hex133e604ab20

1322414025504 has 96 divisors (see below), whose sum is σ = 4078213925184. Its totient is φ = 369906017280.

The previous prime is 1322414025503. The next prime is 1322414025529. The reversal of 1322414025504 is 4055204142231.

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 (33).

It is not an unprimeable number, because it can be changed into a prime (1322414025503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48151119 + ... + 48178574.

It is an arithmetic number, because the mean of its divisors is an integer number (42481395054).

Almost surely, 21322414025504 is an apocalyptic number.

It is an amenable number.

1322414025504 is an abundant number, since it is smaller than the sum of its proper divisors (2755799899680).

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

1322414025504 is a wasteful number, since it uses less digits than its factorization.

1322414025504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96329730 (or 96329722 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 1322414025504 its reverse (4055204142231), we get a palindrome (5377618167735).

The spelling of 1322414025504 in words is "one trillion, three hundred twenty-two billion, four hundred fourteen million, twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 96329693 192659386 288989079 385318772 577978158 770637544 1059626623 1155956316 1252286009 1541275088 2119253246 2311912632 2504572018 3082550176 3178879869 3756858027 4238506492 4623825264 5009144036 6357759738 7513716054 8477012984 9247650528 10018288072 12715519476 13775146099 15027432108 16954025968 20036576144 25431038952 27550292198 30054864216 33908051936 40073152288 41325438297 50862077904 55100584396 60109728432 82650876594 101724155808 110201168792 120219456864 165301753188 220402337584 330603506376 440804675168 661207012752 1322414025504