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344110554040 = 235111097174949
BaseRepresentation
bin1010000000111101001…
…01100101101110111000
31012220012122201100022211
411000132211211232320
521114214300212130
6422025431224504
733601244306611
oct5003645455670
91186178640284
10344110554040
11122a33489440
1256835b18134
13265ac6a0166
1412925600c08
158e3eea7a2a
hex501e965bb8

344110554040 has 64 divisors (see below), whose sum is σ = 852384060000. Its totient is φ = 123983101440.

The previous prime is 344110554037. The next prime is 344110554091. The reversal of 344110554040 is 40455011443.

It is a junction number, because it is equal to n+sod(n) for n = 344110553993 and 344110554011.

It is a congruent number.

It is an unprimeable number.

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, 3539515 + ... + 3635434.

Almost surely, 2344110554040 is an apocalyptic number.

It is an amenable number.

344110554040 is an abundant number, since it is smaller than the sum of its proper divisors (508273505960).

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

344110554040 is a wasteful number, since it uses less digits than its factorization.

344110554040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7175080 (or 7175076 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 344110554040 its reverse (40455011443), we get a palindrome (384565565483).

The spelling of 344110554040 in words is "three hundred forty-four billion, one hundred ten million, five hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 109 110 218 220 436 440 545 872 1090 1199 2180 2398 4360 4796 5995 9592 11990 23980 47960 7174949 14349898 28699796 35874745 57399592 71749490 78924439 143498980 157848878 286997960 315697756 394622195 631395512 782069441 789244390 1564138882 1578488780 3128277764 3156977560 3910347205 6256555528 7820694410 8602763851 15641388820 17205527702 31282777640 34411055404 43013819255 68822110808 86027638510 172055277020 344110554040