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351422123016 = 233437910341849
BaseRepresentation
bin1010001110100100110…
…01000000110000001000
31020121002012201112101210
411013102121000300020
521224203030414031
6425235135413120
734250365521336
oct5072231006010
91217065645353
10351422123016
11126045699428
12581366841a0
13271a63c4933
141301a6a2b56
15921bd18746
hex51d2640c08

351422123016 has 128 divisors (see below), whose sum is σ = 919226880000. Its totient is φ = 111868743168.

The previous prime is 351422123011. The next prime is 351422123021. The reversal of 351422123016 is 610321224153.

It is an interprime number because it is at equal distance from previous prime (351422123011) and next prime (351422123021).

It is not an unprimeable number, because it can be changed into a prime (351422123011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8376460 + ... + 8418308.

It is an arithmetic number, because the mean of its divisors is an integer number (7181460000).

Almost surely, 2351422123016 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 351422123016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459613440000).

351422123016 is an abundant number, since it is smaller than the sum of its proper divisors (567804756984).

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

351422123016 is a wasteful number, since it uses less digits than its factorization.

351422123016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42083 (or 42079 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 351422123016 its reverse (610321224153), we get a palindrome (961743347169).

The spelling of 351422123016 in words is "three hundred fifty-one billion, four hundred twenty-two million, one hundred twenty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 43 79 86 103 129 158 172 206 237 258 309 316 344 412 474 516 618 632 824 948 1032 1236 1896 2472 3397 4429 6794 8137 8858 10191 13287 13588 16274 17716 20382 24411 26574 27176 32548 35432 40764 41849 48822 53148 65096 81528 83698 97644 106296 125547 167396 195288 251094 334792 349891 502188 699782 1004376 1049673 1399564 1799507 2099346 2799128 3306071 3599014 4198692 4310447 5398521 6612142 7198028 8397384 8620894 9918213 10797042 12931341 13224284 14396056 17241788 19836426 21594084 25862682 26448568 34483576 39672852 43188168 51725364 79345704 103450728 142161053 185349221 284322106 340525313 370698442 426483159 556047663 568644212 681050626 741396884 852966318 1021575939 1112095326 1137288424 1362101252 1482793768 1705932636 2043151878 2224190652 2724202504 3411865272 4086303756 4448381304 8172607512 14642588459 29285176918 43927765377 58570353836 87855530754 117140707672 175711061508 351422123016