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424143013536 = 2532111271054201
BaseRepresentation
bin1100010110000001110…
…01001100011010100000
31111112210020220112101100
412023000321030122200
523422121102413121
6522503144434400
742433442062404
oct6130071143240
91445706815340
10424143013536
11153972745850
126a250778a00
1330cc545b578
14167587c9104
15b076239026
hex62c0e4c6a0

424143013536 has 144 divisors (see below), whose sum is σ = 1326169248768. Its totient is φ = 127516032000.

The previous prime is 424143013523. The next prime is 424143013579. The reversal of 424143013536 is 635310341424.

424143013536 is a `hidden beast` number, since 42 + 41 + 4 + 30 + 13 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 424143013536.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124765 + ... + 929436.

It is an arithmetic number, because the mean of its divisors is an integer number (9209508672).

Almost surely, 2424143013536 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 424143013536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663084624384).

424143013536 is an abundant number, since it is smaller than the sum of its proper divisors (902026235232).

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

424143013536 is a wasteful number, since it uses less digits than its factorization.

424143013536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054355 (or 1054344 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 424143013536 in words is "four hundred twenty-four billion, one hundred forty-three million, thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 127 132 144 176 198 254 264 288 352 381 396 508 528 762 792 1016 1056 1143 1397 1524 1584 2032 2286 2794 3048 3168 4064 4191 4572 5588 6096 8382 9144 11176 12192 12573 16764 18288 22352 25146 33528 36576 44704 50292 67056 100584 134112 201168 402336 1054201 2108402 3162603 4216804 6325206 8433608 9487809 11596211 12650412 16867216 18975618 23192422 25300824 33734432 34788633 37951236 46384844 50601648 69577266 75902472 92769688 101203296 104365899 133883527 139154532 151804944 185539376 208731798 267767054 278309064 303609888 371078752 401650581 417463596 535534108 556618128 803301162 834927192 1071068216 1113236256 1204951743 1472718797 1606602324 1669854384 2142136432 2409903486 2945437594 3213204648 3339708768 4284272864 4418156391 4819806972 5890875188 6426409296 8836312782 9639613944 11781750376 12852818592 13254469173 17672625564 19279227888 23563500752 26508938346 35345251128 38558455776 47127001504 53017876692 70690502256 106035753384 141381004512 212071506768 424143013536