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354255221140 = 225173087133751
BaseRepresentation
bin1010010011110110100…
…00011011000110010100
31020212101122200211101221
411021323100123012110
521301003314034030
6430424222500124
734410526460542
oct5117320330624
91225348624357
10354255221140
11127269922a37
12587a7434644
1327538340062
1413208a60d92
1593358dee7a
hex527b41b194

354255221140 has 48 divisors (see below), whose sum is σ = 787745758464. Its totient is φ = 133358400000.

The previous prime is 354255221129. The next prime is 354255221189. The reversal of 354255221140 is 41122552453.

It is a happy number.

It is a super-3 number, since 3×3542552211403 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 354255221096 and 354255221105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10479265 + ... + 10513015.

It is an arithmetic number, because the mean of its divisors is an integer number (16411369968).

Almost surely, 2354255221140 is an apocalyptic number.

It is an amenable number.

354255221140 is an abundant number, since it is smaller than the sum of its proper divisors (433490537324).

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

354255221140 is a wasteful number, since it uses less digits than its factorization.

354255221140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64648 (or 64646 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 354255221140 its reverse (41122552453), we get a palindrome (395377773593).

The spelling of 354255221140 in words is "three hundred fifty-four billion, two hundred fifty-five million, two hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 30871 33751 61742 67502 123484 135004 154355 168755 308710 337510 524807 573767 617420 675020 1049614 1147534 2099228 2295068 2624035 2868835 5248070 5737670 10496140 11475340 1041927121 2083854242 4167708484 5209635605 10419271210 17712761057 20838542420 35425522114 70851044228 88563805285 177127610570 354255221140