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3109908144 = 243719225639
BaseRepresentation
bin1011100101011101…
…0110111010110000
322000201211200222010
42321113112322300
522332114030034
61232332042520
7140031532410
oct27127267260
98021750863
103109908144
11135650a022
12729603440
133a73b6b45
14217056640
151330543e9
hexb95d6eb0

3109908144 has 120 divisors (see below), whose sum is σ = 9690689280. Its totient is φ = 841746816.

The previous prime is 3109908089. The next prime is 3109908181. The reversal of 3109908144 is 4418099013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108477 + ... + 134115.

It is an arithmetic number, because the mean of its divisors is an integer number (80755744).

Almost surely, 23109908144 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 3109908144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845344640).

3109908144 is an abundant number, since it is smaller than the sum of its proper divisors (6580781136).

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

3109908144 is a wasteful number, since it uses less digits than its factorization.

3109908144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25695 (or 25670 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 3109908144 is about 55766.5504043418. The cubic root of 3109908144 is about 1459.6515312718.

The spelling of 3109908144 in words is "three billion, one hundred nine million, nine hundred eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 361 399 456 532 722 798 912 1064 1083 1444 1596 2128 2166 2527 2888 3192 4332 5054 5776 6384 7581 8664 10108 15162 17328 20216 25639 30324 40432 51278 60648 76917 102556 121296 153834 179473 205112 307668 358946 410224 487141 538419 615336 717892 974282 1076838 1230672 1435784 1461423 1948564 2153676 2871568 2922846 3409987 3897128 4307352 5845692 6819974 7794256 8614704 9255679 10229961 11691384 13639948 18511358 20459922 23382768 27279896 27767037 37022716 40919844 54559792 55534074 64789753 74045432 81839688 111068148 129579506 148090864 163679376 194369259 222136296 259159012 388738518 444272592 518318024 777477036 1036636048 1554954072 3109908144