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1320344233434 = 2323771131213149
BaseRepresentation
bin10011001101101010101…
…001100010010111011010
311200020001001121120222100
4103031222221202113122
5133113031110432214
62450320251104230
7164251234544322
oct23155251422732
94606031546870
101320344233434
11469a55997956
12193a84742076
139767abb95a5
1447c9547a282
1524529edb309
hex1336aa625da

1320344233434 has 96 divisors (see below), whose sum is σ = 3002202403200. Its totient is φ = 418963708800.

The previous prime is 1320344233409. The next prime is 1320344233451. The reversal of 1320344233434 is 4343324430231.

1320344233434 is a `hidden beast` number, since 1 + 3 + 203 + 442 + 3 + 3 + 4 + 3 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6087892 + ... + 6301040.

It is an arithmetic number, because the mean of its divisors is an integer number (31272941700).

Almost surely, 21320344233434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320344233434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501101201600).

1320344233434 is an abundant number, since it is smaller than the sum of its proper divisors (1681858169766).

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

1320344233434 is a wasteful number, since it uses less digits than its factorization.

1320344233434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213396 (or 213393 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 1320344233434 its reverse (4343324430231), we get a palindrome (5663668663665).

The spelling of 1320344233434 in words is "one trillion, three hundred twenty billion, three hundred forty-four million, two hundred thirty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 71 74 111 131 142 213 222 262 333 393 426 639 666 786 1179 1278 2358 2627 4847 5254 7881 9301 9694 14541 15762 18602 23643 27903 29082 43623 47286 55806 83709 87246 167418 213149 344137 426298 639447 688274 1032411 1278894 1918341 2064822 3097233 3836682 6194466 7886513 15133579 15773026 23659539 27922519 30267158 45400737 47319078 55845038 70978617 83767557 90801474 136202211 141957234 167535114 251302671 272404422 502605342 559942423 1033133203 1119884846 1679827269 1982498849 2066266406 3099399609 3359654538 3964997698 5039481807 5947496547 6198799218 9298198827 10078963614 11894993094 17842489641 18596397654 35684979282 73352457413 146704914826 220057372239 440114744478 660172116717 1320344233434