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34131421940 = 22571122163261
BaseRepresentation
bin11111110010011001…
…000010101011110100
310021002200021212211112
4133302121002223310
51024400121000230
623402454454152
72315544204530
oct376231025364
9107080255745
1034131421940
1113525330530
126746664358
1332ac2ac575
14191b00cbc0
15d4b6add95
hex7f2642af4

34131421940 has 48 divisors (see below), whose sum is σ = 89362272384. Its totient is φ = 10638364800.

The previous prime is 34131421939. The next prime is 34131421981. The reversal of 34131421940 is 4912413143.

It is a junction number, because it is equal to n+sod(n) for n = 34131421897 and 34131421906.

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, 11080091 + ... + 11083170.

It is an arithmetic number, because the mean of its divisors is an integer number (1861714008).

Almost surely, 234131421940 is an apocalyptic number.

It is an amenable number.

34131421940 is an abundant number, since it is smaller than the sum of its proper divisors (55230850444).

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

34131421940 is a wasteful number, since it uses less digits than its factorization.

34131421940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22163288 (or 22163286 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 34131421940 in words is "thirty-four billion, one hundred thirty-one million, four hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 22163261 44326522 88653044 110816305 155142827 221632610 243795871 310285654 443265220 487591742 620571308 775714135 975183484 1218979355 1551428270 1706571097 2437958710 3102856540 3413142194 4875917420 6826284388 8532855485 17065710970 34131421940