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120514252434396 = 223196719267409463
BaseRepresentation
bin11011011001101101101001…
…001101001110101111011100
3120210201001100110110102122120
4123121231221031032233130
5111244001142110400041
61104151252215142540
734245603343563432
oct3331555115165734
9523631313412576
10120514252434396
1135443897776607
1211624577374a50
1352325a326c082
1421a8cc70bad52
15ddecbb632366
hex6d9b6934ebdc

120514252434396 has 96 divisors (see below), whose sum is σ = 300434153564160. Its totient is φ = 37487078126784.

The previous prime is 120514252434383. The next prime is 120514252434397. The reversal of 120514252434396 is 693434252415021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120514252434397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294117961 + ... + 294527423.

It is an arithmetic number, because the mean of its divisors is an integer number (3129522432960).

Almost surely, 2120514252434396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120514252434396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150217076782080).

120514252434396 is an abundant number, since it is smaller than the sum of its proper divisors (179919901129764).

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

120514252434396 is a wasteful number, since it uses less digits than its factorization.

120514252434396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428823 (or 428821 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 120514252434396 in words is "one hundred twenty trillion, five hundred fourteen billion, two hundred fifty-two million, four hundred thirty-four thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 19 38 57 67 76 114 134 201 228 268 402 804 1273 2546 3819 5092 7638 15276 19267 38534 57801 77068 115602 231204 366073 409463 732146 818926 1098219 1228389 1290889 1464292 1637852 2196438 2456778 2581778 3872667 4392876 4913556 5163556 7745334 7779797 15490668 15559594 23339391 24526891 27434021 31119188 46678782 49053782 54868042 73580673 82302063 93357564 98107564 109736084 147161346 164604126 294322692 329208252 521246399 1042492798 1563739197 2084985596 3127478394 6254956788 7889123621 15778247242 23667370863 31556494484 47334741726 94669483452 149893348799 299786697598 449680046397 528571282607 599573395196 899360092794 1057142565214 1585713847821 1798720185588 2114285130428 3171427695642 6342855391284 10042854369533 20085708739066 30128563108599 40171417478132 60257126217198 120514252434396