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3209491278140 = 2257283152353189
BaseRepresentation
bin101110101101000100100…
…101100110100100111100
3102100211020222001211212112
4232231010211212210330
5410041014231400030
610454230412353152
7450610120511660
oct56550445464474
912324228054775
103209491278140
1110281571786a4
1243a0301757b8
131a386631c594
14b14a97548a0
1558746088a95
hex2eb4496693c

3209491278140 has 96 divisors (see below), whose sum is σ = 7735218301440. Its totient is φ = 1095768112896.

The previous prime is 3209491278121. The next prime is 3209491278143. The reversal of 3209491278140 is 418721949023.

It is a happy number.

3209491278140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×32094912781404 (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3209491278143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60314666 + ... + 60367854.

It is an arithmetic number, because the mean of its divisors is an integer number (80575190640).

Almost surely, 23209491278140 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 3209491278140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867609150720).

3209491278140 is an abundant number, since it is smaller than the sum of its proper divisors (4525727023300).

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

3209491278140 is a wasteful number, since it uses less digits than its factorization.

3209491278140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55011 (or 55009 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The spelling of 3209491278140 in words is "three trillion, two hundred nine billion, four hundred ninety-one million, two hundred seventy-eight thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 283 566 1132 1415 1523 1981 2830 3046 3962 5660 6092 7615 7924 9905 10661 15230 19810 21322 30460 39620 42644 53189 53305 106378 106610 212756 213220 265945 372323 431009 531890 744646 862018 1063780 1489292 1724036 1861615 2155045 3017063 3723230 4310090 6034126 7446460 8620180 12068252 15052487 15085315 30104974 30170630 60209948 60341260 75262435 81006847 105367409 150524870 162013694 210734818 301049740 324027388 405034235 421469636 526837045 567047929 810068470 1053674090 1134095858 1620136940 2107348180 2268191716 2835239645 5670479290 11340958580 22924937701 45849875402 91699750804 114624688505 160474563907 229249377010 320949127814 458498754020 641898255628 802372819535 1604745639070 3209491278140