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342142120432 = 2473789927677
BaseRepresentation
bin1001111101010010100…
…00100111000111110000
31012201010110202120001101
410332221100213013300
521101201340323212
6421102233014144
733501413016250
oct4765120470760
91181113676041
10342142120432
11122113342102
1256386854354
1326357928a48
14127ba001960
158d7727d157
hex4fa94271f0

342142120432 has 80 divisors (see below), whose sum is σ = 786819372480. Its totient is φ = 141066123264.

The previous prime is 342142120427. The next prime is 342142120433. The reversal of 342142120432 is 234021241243.

It is a super-2 number, since 2×3421421204322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 342142120432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342142120433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95023 + ... + 832654.

It is an arithmetic number, because the mean of its divisors is an integer number (9835242156).

Almost surely, 2342142120432 is an apocalyptic number.

It is an amenable number.

342142120432 is an abundant number, since it is smaller than the sum of its proper divisors (444677252048).

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

342142120432 is a wasteful number, since it uses less digits than its factorization.

342142120432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927818 (or 927812 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 342142120432 its reverse (234021241243), we get a palindrome (576163361675).

The spelling of 342142120432 in words is "three hundred forty-two billion, one hundred forty-two million, one hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 89 112 148 178 259 296 356 518 592 623 712 1036 1246 1424 2072 2492 3293 4144 4984 6586 9968 13172 23051 26344 46102 52688 92204 184408 368816 927677 1855354 3710708 6493739 7421416 12987478 14842832 25974956 34324049 51949912 68648098 82563253 103899824 137296196 165126506 240268343 274592392 330253012 480536686 549184784 577942771 660506024 961073372 1155885542 1321012048 1922146744 2311771084 3054840361 3844293488 4623542168 6109680722 9247084336 12219361444 21383882527 24438722888 42767765054 48877445776 85535530108 171071060216 342142120432