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1300532013440 = 27511528134981
BaseRepresentation
bin10010111011001101101…
…111111010100110000000
311121022220022102112110122
4102323031233322212000
5132301442143412230
62433242310315412
7162650252501102
oct22731557724600
94538808375418
101300532013440
11461609464820
12190075658b68
13958413aaaaa
1446d360b5572
1523c6a9b3be5
hex12ecdbfa980

1300532013440 has 128 divisors (see below), whose sum is σ = 3392467604640. Its totient is φ = 472817664000.

The previous prime is 1300532013433. The next prime is 1300532013457. The reversal of 1300532013440 is 443102350031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 37160750 + ... + 37195730.

Almost surely, 21300532013440 is an apocalyptic number.

1300532013440 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 1300532013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696233802320).

1300532013440 is an abundant number, since it is smaller than the sum of its proper divisors (2091935591200).

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

1300532013440 is a wasteful number, since it uses less digits than its factorization.

1300532013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40292 (or 40280 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 1300532013440 its reverse (443102350031), we get a palindrome (1743634363471).

The spelling of 1300532013440 in words is "one trillion, three hundred billion, five hundred thirty-two million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 5281 7040 10562 21124 26405 34981 42248 52810 58091 69962 84496 105620 116182 139924 168992 174905 211240 232364 279848 290455 337984 349810 384791 422480 464728 559696 580910 675968 699620 769582 844960 929456 1119392 1161820 1399240 1539164 1689920 1858912 1923955 2238784 2323640 2798480 3078328 3379840 3717824 3847910 4477568 4647280 5596960 6156656 7435648 7695820 9294560 11193920 12313312 15391640 18589120 22387840 24626624 30783280 37178240 49253248 61566560 123133120 184734661 246266240 369469322 738938644 923673305 1477877288 1847346610 2032081271 2955754576 3694693220 4064162542 5911509152 7389386440 8128325084 10160406355 11823018304 14778772880 16256650168 20320812710 23646036608 29557545760 32513300336 40641625420 59115091520 65026600672 81283250840 118230183040 130053201344 162566501680 260106402688 325133003360 650266006720 1300532013440